Abstract
This review, based on lectures given at the 45th Saas-Fee Advanced Course “From Protoplanetary Disks to Planet Formation”, introduces physical processes in protoplanetary disks relevant to accretion and the initial stages of planet formation. After a brief overview of the observational context, I introduce the elementary theory of disk structure and evolution, review the gas-phase physics of angular momentum transport through turbulence and disk winds, and discuss possible origins for the episodic accretion observed in Young Stellar Objects. Turning to solids, I review the evolution of single particles under aerodynamic forces, and describe the conditions necessary for the development of collective gas-particle instabilities. Observations show that disks can exhibit pronounced large-scale structure, and I discuss the types of structures that may form from gas and particle interactions at ice lines, vortices and zonal flows, prior to the formation of large planetary bodies. I conclude with disk dispersal.
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Notes
- 1.
Accretion from lower density gas within the star forming region could persist to later times [403].
- 2.
To see this, substitute \(x \equiv h \nu /k_B T\) and approximate the limits as \(r_\mathrm{in} = 0\) and \(r_\mathrm{out} = \infty \).
- 3.
Representing fluid motions as microturbulence is a standard approximation for stellar atmospheres, but whether it is generally valid for disk turbulence is not obvious. Simon et al. [380] showed that it works reasonably well in the case where turbulence is driven by the magnetohydrodynamic instabilities discussed in Sect. 1.5.4.4.
- 4.
The minimum mass Solar Nebula (MMSN) [175, 429], an approximate lower bound for the amount of disk gas needed to form the planets in the Solar System, can be useful as a reference model despite its tenuous connection to actual conditions in the disk at the time of planet formation. The MMSN has a gas surface density profile \(\varSigma (r) = 1.7 \times 10^3 (r/\text {AU})^{-3/2} \ \mathrm{g \ cm^{-2}}\).
- 5.
Note that the amount of power involved in any of these non-thermal ionization processes is rather small when compared to that liberated by accretion [192]. Any additional processes that could convert even a small fraction of the accretion energy into non-thermal particles would likely matter for the ionization state.
- 6.
Umebayashi and Nakano noted that if cosmic rays have an approximately isotropic angular distribution at the disk surface, geometric effects lead to a faster than exponential attenuation deep in the disk [415].
- 7.
- 8.
We can also consider situations where the magnetic pressure in the disk is stronger than the gas pressure, though it must always be weaker than \(\rho v_\phi ^2\).
- 9.
Ignoring magnetic fields in astrophysical accretion flows is generally a stupid thing to do, and indeed there is broad consensus that the magnetorotational instability (MRI) [45] is responsible for turbulence and angular momentum transport in most accretion disks. In protoplanetary disks, however, the low ionization fraction means that the dominance of MHD instabilities is much less obvious, and purely hydrodynamic effects could in principle be important.
- 10.
As we shall see, a general rule is that all disk instabilities have long histories and pre-histories.
- 11.
- 12.
- 13.
Several assumptions are hardwired into these numbers. For the resistivity, it is assumed that currents are carried by the electrons, and that the conductivity is limited by electron-neutral collisions. For the drag coefficient we assume that the neutral gas is predominantly molecular hydrogen, and that the ions are moderately massive \(m_i \simeq 30{-}40 m_\mathrm{H}\). It would be prudent to consult Blaes and Balbus [68], and references therein, should one encounter situations where these assumptions might fail.
- 14.
The numerical implementation of the Hall effect in simulation codes remains challenging, and the presence of large-scale fields in the saturated state suggests that local simulations may not be adequate to describe the outcome. Observationally important issues such as the level of fluid turbulence that accompanies the predominantly large-scale transport by Maxwell stresses remain to be fully understood.
- 15.
It is not obvious that the inner disk is resupplied by gas, or, to put it more formally, that the disk attains a steady-state. Out to \({\sim } 10 \ \mathrm{AU}\) the viscous time scale is short enough that the disk will plausibly adjust to a steady state (provided only that a steady state is possible, see Sect. 1.6), but no such argument works out to 100 AU. Ultimately the question of whether gas at 100 AU ever reaches the star will need to be settled by observations as well as by theory.
- 16.
This may seem to require fine tuning, but in fact the ordering of time scales in a geometrically thin disk always allows for such a choice [338].
- 17.
Cosmic rays in the original model, though this is an unimportant distinction.
- 18.
In compact object accretion, this is described as the “propeller” regime of accretion [189].
- 19.
Quoting from his paper, “should it be possible for a toroid of higher density to occur in the Solar nebula, the growing planetesimals would be drawn toward it from the inside as well as from the outside ...”.
- 20.
For a derivation of the steady Kida solution, see e.g. the appendix of Chavanis [88].
- 21.
In more detail, however, the grain population within the disk will affect the absorption of high energy photons and hence the local mass loss rate [160].
References
Adams, F.C., Hollenbach, D., Laughlin, G., Gorti, U.: Photoevaporation of circumstellar disks due to external far-ultraviolet radiation in stellar aggregates. ApJ 611, 360–379 (2004). https://doi.org/10.1086/421989
Adams, F.C., Lada, C.J., Shu, F.H.: Spectral evolution of young stellar objects. ApJ 312, 788–806 (1987). https://doi.org/10.1086/164924
Alencar, S.H.P., Teixeira, P.S., Guimarães, M.M., McGinnis, P.T., Gameiro, J.F., Bouvier, J., Aigrain, S., Flaccomio, E., Favata, F.: Accretion dynamics and disk evolution in NGC 2264: a study based on CoRoT photometric observations. A&A 519, A88 (2010). https://doi.org/10.1051/0004-6361/201014184
Alexander, R., Pascucci, I., Andrews, S., Armitage, P., Cieza, L.: The Dispersal of Protoplanetary Disks. Protostars and Planets VI, pp. 475–496 (2014). https://doi.org/10.2458/azu_uapress_9780816531240-ch021
Alexander, R.D., Armitage, P.J.: Dust dynamics during protoplanetary disc clearing. MNRAS 375, 500–512 (2007). https://doi.org/10.1111/j.1365-2966.2006.11341.x
Alexander, R.D., Clarke, C.J., Pringle, J.E.: Constraints on the ionizing flux emitted by T Tauri stars. MNRAS 358, 283–290 (2005). https://doi.org/10.1111/j.1365-2966.2005.08786.x
Alexander, R.D., Clarke, C.J., Pringle, J.E.: Photoevaporation of protoplanetary discs—I. Hydrodynamic models. MNRAS 369, 216–228 (2006). https://doi.org/10.1111/j.1365-2966.2006.10293.x
ALMA Partnership, Brogan, C.L., Pérez, L.M., Hunter, T.R., Dent, W.R.F., Hales, A.S., Hills, R.E., Corder, S., Fomalont, E.B., Vlahakis, C., Asaki, Y., Barkats, D., Hirota, A., Hodge, J.A., Impellizzeri, C.M.V., Kneissl, R., Liuzzo, E., Lucas, R., Marcelino, N., Matsushita, S., Nakanishi, K., Phillips, N., Richards, A.M.S., Toledo, I., Aladro, R., Broguiere, D., Cortes, J.R., Cortes, P.C., Espada, D., Galarza, F., Garcia-Appadoo, D., Guzman-Ramirez, L., Humphreys, E.M., Jung, T., Kameno, S., Laing, R.A., Leon, S., Marconi, G., Mignano, A., Nikolic, B., Nyman, L.A., Radiszcz, M., Remijan, A., Rodón, J.A., Sawada, T., Takahashi, S., Tilanus, R.P.J., Vila Vilaro, B., Watson, L.C., Wiklind, T., Akiyama, E., Chapillon, E., de Gregorio-Monsalvo, I., Di Francesco, J., Gueth, F., Kawamura, A., Lee, C.F., Nguyen Luong, Q., Mangum, J., Pietu, V., Sanhueza, P., Saigo, K., Takakuwa, S., Ubach, C., van Kempen, T., Wootten, A., Castro-Carrizo, A., Francke, H., Gallardo, J., Garcia, J., Gonzalez, S., Hill, T., Kaminski, T., Kurono, Y., Liu, H.Y., Lopez, C., Morales, F., Plarre, K., Schieven, G., Testi, L., Videla, L., Villard, E., Andreani, P., Hibbard, J.E., Tatematsu, K.: The 2014 ALMA long baseline campaign: first results from high angular resolution observations toward the HL Tau region. ApJ, 808, L3 (2015). https://doi.org/10.1088/2041-8205/808/1/L3
Andrews, S.M., Williams, J.P.: Circumstellar dust disks in Taurus-Auriga: the submillimeter perspective. ApJ 631, 1134–1160 (2005). https://doi.org/10.1086/432712
Andrews, S.M., Wilner, D.J., Espaillat, C., Hughes, A.M., Dullemond, C.P., McClure, M.K., Qi, C., Brown, J.M.: Resolved images of large cavities in protoplanetary transition disks. ApJ 732, 42 (2011). https://doi.org/10.1088/0004-637X/732/1/42
Andrews, S.M., Wilner, D.J., Hughes, A.M., Qi, C., Dullemond, C.P.: Protoplanetary disk structures in Ophiuchus. ApJ 700, 1502–1523 (2009). https://doi.org/10.1088/0004-637X/700/2/1502
Andrews, S.M., Wilner, D.J., Hughes, A.M., Qi, C., Rosenfeld, K.A., Öberg, K.I., Birnstiel, T., Espaillat, C., Cieza, L.A., Williams, J.P., Lin, S.Y., Ho, P.T.P.: The TW Hya disk at 870 \(\upmu \)m: comparison of CO and dust radial structures. ApJ 744, 162 (2012). https://doi.org/10.1088/0004-637X/744/2/162
Andrews, S.M., Wilner, D.J., Zhu, Z., Birnstiel, T., Carpenter, J.M., Pérez, L.M., Bai, X.N., Öberg, K.I., Hughes, A.M., Isella, A., Ricci, L.: Ringed substructure and a gap at 1 au in the nearest protoplanetary disk. ApJ 820, L40 (2016). https://doi.org/10.3847/2041-8205/820/2/L40
Armitage, P.J.: Magnetic cycles and photometric variability of T Tauri stars. MNRAS 274, 1242–1248 (1995)
Armitage, P.J.: Turbulence and angular momentum transport in a global accretion disk simulation. ApJ 501, L189–L192 (1998). https://doi.org/10.1086/311463
Armitage, P.J.: Magnetic activity in accretion disc boundary layers. MNRAS 330, 895–900 (2002). https://doi.org/10.1046/j.1365-8711.2002.05152.x
Armitage, P.J.: Lecture notes on the formation and early evolution of planetary systems. Ar**v Astrophysics e-prints (2007)
Armitage, P.J.: Astrophysics of Planet Formation, 294 pp. Cambridge University Press, Cambridge, UK (2010). https://doi.org/10.1017/CBO9780511802225. ISBN 978-0-521-88745-8 (hardback)
Armitage, P.J.: Dynamics of protoplanetary disks. ARA&A 49, 195–236 (2011). https://doi.org/10.1146/annurev-astro-081710-102521
Armitage, P.J.: A trap for planet formation. Science 340, 1179–1180 (2013). https://doi.org/10.1126/science.1239404
Armitage, P.J.: EXor outbursts from disk amplification of stellar magnetic cycles. ApJ 833, L15 (2016). https://doi.org/10.3847/2041-8213/833/2/L15
Armitage, P.J., Eisner, J.A., Simon, J.B.: Prompt planetesimal formation beyond the snow line. ApJ 828, L2 (2016). https://doi.org/10.3847/2041-8205/828/1/L2
Armitage, P.J., Livio, M., Pringle, J.E.: Episodic accretion in magnetically layered protoplanetary discs. MNRAS 324, 705–711 (2001). https://doi.org/10.1046/j.1365-8711.2001.04356.x
Armitage, P.J., Simon, J.B., Martin, R.G.: Two timescale dispersal of magnetized protoplanetary disks. ApJ 778, L14 (2013). https://doi.org/10.1088/2041-8205/778/1/L14
Artymowicz, P., Lubow, S.H.: Mass flow through gaps in circumbinary disks. ApJ 467, L77 (1996). https://doi.org/10.1086/310200
Audard, M., Ábrahám, P., Dunham, M.M., Green, J.D., Grosso, N., Hamaguchi, K., Kastner, J.H., Kóspál, Á., Lodato, G., Romanova, M.M., Skinner, S.L., Vorobyov, E.I., Zhu, Z.: Episodic Accretion in Young Stars. Protostars and Planets VI, pp. 387–410 (2014)
Bae, J., Hartmann, L., Zhu, Z., Gammie, C.: The long-term evolution of photoevaporating protoplanetary disks. ApJ 774, 57 (2013). https://doi.org/10.1088/0004-637X/774/1/57
Bae, J., Hartmann, L., Zhu, Z., Gammie, C.: Variable accretion outbursts in protostellar evolution. ApJ 764, 141 (2013). https://doi.org/10.1088/0004-637X/764/2/141
Bae, J., Hartmann, L., Zhu, Z., Nelson, R.P.: Accretion outbursts in self-gravitating protoplanetary disks. ApJ 795, 61 (2014). https://doi.org/10.1088/0004-637X/795/1/61
Baehr, H., Klahr, H., Kratter, K.M.: The fragmentation criteria in local vertically stratified self-gravitating disk simulations. ApJ 848, 40 (2017). https://doi.org/10.3847/1538-4357/aa8a66
Bai, X.N.: Magnetorotational-instability-driven accretion in protoplanetary disks. ApJ 739, 50 (2011). https://doi.org/10.1088/0004-637X/739/1/50
Bai, X.N.: Hall-effect-controlled gas dynamics in protoplanetary disks. I. Wind solutions at the inner disk. ApJ 791, 137 (2014). https://doi.org/10.1088/0004-637X/791/2/137
Bai, X.N.: Hall effect controlled gas dynamics in protoplanetary disks. II. Full 3D simulations toward the outer disk. ApJ 798, 84 (2015). https://doi.org/10.1088/0004-637X/798/2/84
Bai, X.N.: Global simulations of the inner regions of protoplanetary disks with comprehensive disk microphysics. ApJ 845, 75 (2017). https://doi.org/10.3847/1538-4357/aa7dda
Bai, X.N., Goodman, J.: Heat and dust in active layers of protostellar disks. ApJ 701, 737–755 (2009). https://doi.org/10.1088/0004-637X/701/1/737
Bai, X.N., Stone, J.M.: Dynamics of solids in the midplane of protoplanetary disks: implications for planetesimal formation. ApJ 722, 1437–1459 (2010). https://doi.org/10.1088/0004-637X/722/2/1437
Bai, X.N., Stone, J.M.: The effect of the radial pressure gradient in protoplanetary disks on planetesimal formation. ApJ 722, L220–L223 (2010). https://doi.org/10.1088/2041-8205/722/2/L220
Bai, X.N., Stone, J.M.: Effect of ambipolar diffusion on the nonlinear evolution of magnetorotational instability in weakly ionized disks. ApJ 736, 144 (2011). https://doi.org/10.1088/0004-637X/736/2/144
Bai, X.N., Stone, J.M.: Wind-driven accretion in protoplanetary disks. I. Suppression of the magnetorotational instability and launching of the magnetocentrifugal wind. ApJ 769, 76 (2013). https://doi.org/10.1088/0004-637X/769/1/76
Bai, X.N., Stone, J.M.: Magnetic flux concentration and zonal flows in magnetorotational instability turbulence. ApJ 796, 31 (2014). https://doi.org/10.1088/0004-637X/796/1/31
Bai, X.N., Ye, J., Goodman, J., Yuan, F.: Magneto-thermal disk winds from protoplanetary disks. ApJ 818, 152 (2016). https://doi.org/10.3847/0004-637X/818/2/152
Bakes, E.L.O., Tielens, A.G.G.M.: The photoelectric heating mechanism for very small graphitic grains and polycyclic aromatic hydrocarbons. ApJ 427, 822–838 (1994). https://doi.org/10.1086/174188
Balbus, S.A.: Magnetohydrodynamics of Protostellar Disks, pp. 237–282 (2011)
Balbus, S.A., Hawley, J.F.: A powerful local shear instability in weakly magnetized disks. I—Linear analysis. II—Nonlinear evolution. ApJ 376, 214–233 (1991). https://doi.org/10.1086/170270
Balbus, S.A., Hawley, J.F.: Instability, turbulence, and enhanced transport in accretion disks. Rev. Mod. Phys. 70, 1–53 (1998). https://doi.org/10.1103/RevModPhys.70.1
Balbus, S.A., Hawley, J.F., Stone, J.M.: Nonlinear stability, hydrodynamical turbulence, and transport in disks. ApJ 467, 76 (1996). https://doi.org/10.1086/177585
Balbus, S.A., Papaloizou, J.C.B.: On the dynamical foundations of \(\alpha \) disks. ApJ 521, 650–658 (1999). https://doi.org/10.1086/307594
Balbus, S.A., Terquem, C.: Linear analysis of the Hall effect in protostellar disks. ApJ 552, 235–247 (2001). https://doi.org/10.1086/320452
Bally, J., O’Dell, C.R., McCaughrean, M.J.: Disks, microjets, windblown bubbles, and outflows in the Orion Nebula. AJ 119, 2919–2959 (2000). https://doi.org/10.1086/301385
Bally, J., Scoville, N.Z.: Structure and evolution of molecular clouds near H II regions. II—The disk constrained H II region, S106. ApJ 255, 497–509 (1982). https://doi.org/10.1086/159850
Barge, P., Sommeria, J.: Did planet formation begin inside persistent gaseous vortices? A&A 295, L1–L4 (1995)
Barker, A.J., Ogilvie, G.I.: Hydrodynamic instability in eccentric astrophysical discs. MNRAS 445, 2637–2654 (2014). https://doi.org/10.1093/mnras/stu1939
Barranco, J.A., Marcus, P.S.: Three-dimensional vortices in stratified protoplanetary disks. ApJ 623, 1157–1170 (2005). https://doi.org/10.1086/428639
Baruteau, C., Meru, F., Paardekooper, S.J.: Rapid inward migration of planets formed by gravitational instability. MNRAS 416, 1971–1982 (2011). https://doi.org/10.1111/j.1365-2966.2011.19172.x
Bastian, N., Covey, K.R., Meyer, M.R.: A universal stellar initial mass function? A critical look at variations. ARA&A 48, 339–389 (2010). https://doi.org/10.1146/annurev-astro-082708-101642
Beckwith, S.V.W., Sargent, A.I.: Particle emissivity in circumstellar disks. ApJ 381, 250–258 (1991). https://doi.org/10.1086/170646
Begelman, M.C., McKee, C.F., Shields, G.A.: Compton heated winds and coronae above accretion disks. I Dynamics. ApJ 271, 70–88 (1983). https://doi.org/10.1086/161178
Bell, K.R., Cassen, P.M., Klahr, H.H., Henning, T.: The structure and appearance of protostellar accretion disks: limits on disk flaring. ApJ 486, 372–387 (1997)
Bell, K.R., Lin, D.N.C.: Using FU Orionis outbursts to constrain self-regulated protostellar disk models. ApJ 427, 987–1004 (1994). https://doi.org/10.1086/174206
Belyaev, M.A., Rafikov, R.R., Stone, J.M.: Angular momentum transport by acoustic modes generated in the boundary layer. I. Hydrodynamical theory and simulations. ApJ 770, 67 (2013). https://doi.org/10.1088/0004-637X/770/1/67
Belyaev, M.A., Rafikov, R.R., Stone, J.M.: Angular momentum transport by acoustic modes generated in the boundary layer. II. Magnetohydrodynamic simulations. ApJ 770, 68 (2013). https://doi.org/10.1088/0004-637X/770/1/68
Bergin, E.A., Cleeves, L.I., Gorti, U., Zhang, K., Blake, G.A., Green, J.D., Andrews, S.M., Evans II, N.J., Henning, T., Öberg, K., Pontoppidan, K., Qi, C., Salyk, C., van Dishoeck, E.F.: An old disk still capable of forming a planetary system. Nature 493, 644–646 (2013). https://doi.org/10.1038/nature11805
Besla, G., Wu, Y.: Formation of Narrow dust rings in circumstellar debris disks. ApJ 655, 528–540 (2007). https://doi.org/10.1086/509495
Béthune, W., Lesur, G., Ferreira, J.: Global simulations of protoplanetary disks with net magnetic flux. I. Non-ideal MHD case. A&A 600, A75 (2017). https://doi.org/10.1051/0004-6361/201630056
Birnstiel, T., Klahr, H., Ercolano, B.: A simple model for the evolution of the dust population in protoplanetary disks. A&A 539, A148 (2012). https://doi.org/10.1051/0004-6361/201118136
Bisschop, S.E., Fraser, H.J., Öberg, K.I., van Dishoeck, E.F., Schlemmer, S.: Desorption rates and sticking coefficients for CO and N\(_{2}\) interstellar ices. A&A 449, 1297–1309 (2006). https://doi.org/10.1051/0004-6361:20054051
Bjorkman, J.E., Wood, K.: Radiative equilibrium and temperature correction in Monte Carlo radiation transfer. ApJ 554, 615–623 (2001). https://doi.org/10.1086/321336
Blaes, O.M., Balbus, S.A.: Local shear instabilities in weakly ionized, weakly magnetized disks. ApJ 421, 163–177 (1994). https://doi.org/10.1086/173634
Blandford, R.D., Payne, D.G.: Hydromagnetic flows from accretion discs and the production of radio jets. MNRAS 199, 883–903 (1982)
Blum, J., Wurm, G.: The growth mechanisms of macroscopic bodies in protoplanetary disks. ARA&A 46, 21–56 (2008). https://doi.org/10.1146/annurev.astro.46.060407.145152
Bollard, J., Connelly, J.N., Whitehouse, M.J., Pringle, E.A., Bonal, L., Jørgensen, J.K., Nordlund, Å., Moynier, F., Bizzarro, M.: Early formation of planetary building blocks inferred from Pb isotopic ages of chondrules. Sci. Adv. 3, e1700,407 (2017). https://doi.org/10.1126/sciadv.1700407
Bonnell, I., Bastien, P.: A binary origin for FU Orionis stars. ApJ 401, L31–L34 (1992). https://doi.org/10.1086/186663
Bouvier, J., Alencar, S.H.P., Harries, T.J., Johns-Krull, C.M., Romanova, M.M.: Magnetospheric Accretion in Classical T Tauri Stars. Protostars and Planets V, pp. 479–494 (2007)
Bouvier, J., Cabrit, S., Fernandez, M., Martin, E.L., Matthews, J.M.: Coyotes-I—the photometric variability and rotational evolution of T-Tauri stars. A&A 272, 176 (1993)
Bouvier, J., Matt, S.P., Mohanty, S., Scholz, A., Stassun, K.G., Zanni, C.: Angular Momentum Evolution of Young Low-Mass Stars and Brown Dwarfs: Observations and Theory. Protostars and Planets VI, pp. 433–450 (2014)
Brauer, F., Henning, T., Dullemond, C.P.: Planetesimal formation near the snow line in MRI-driven turbulent protoplanetary disks. A&A 487, L1–L4 (2008). https://doi.org/10.1051/0004-6361:200809780
Burke, J.R., Hollenbach, D.J.: The gas-grain interaction in the interstellar medium—thermal accommodation and trap**. ApJ 265, 223–234 (1983). https://doi.org/10.1086/160667
Calvet, N., D’Alessio, P., Watson, D.M., Franco-Hernández, R., Furlan, E., Green, J., Sutter, P.M., Forrest, W.J., Hartmann, L., Uchida, K.I., Keller, L.D., Sargent, B., Najita, J., Herter, T.L., Barry, D.J., Hall, P.: Disks in transition in the Taurus population: Spitzer IRS spectra of GM Aurigae and DM Tauri. ApJ 630, L185–L188 (2005). https://doi.org/10.1086/491652
Cannizzo, J.K.: The accretion disk limit cycle model: toward an understanding of the long-term behavior of SS Cygni. ApJ 419, 318 (1993). https://doi.org/10.1086/173486
Cao, X., Spruit, H.C.: Instability of an accretion disk with a magnetically driven wind. A&A 385, 289–300 (2002). https://doi.org/10.1051/0004-6361:20011818
Carrera, D., Johansen, A., Davies, M.B.: How to form planetesimals from mm-sized chondrules and chondrule aggregates. A&A 579, A43 (2015). https://doi.org/10.1051/0004-6361/201425120
Casassus, S., Marino, S., Pérez, S., Roman, P., Dunhill, A., Armitage, P.J., Cuadra, J., Wootten, A., van der Plas, G., Cieza, L., Moral, V., Christiaens, V., Montesinos, M.: Accretion kinematics through the warped transition disk in HD142527 from resolved CO(6–5) observations. ApJ 811, 92 (2015). https://doi.org/10.1088/0004-637X/811/2/92
Casassus, S., van der Plas, G., M, S.P., Dent, W.R.F., Fomalont, E., Hagelberg, J., Hales, A., Jordán, A., Mawet, D., Ménard, F., Wootten, A., Wilner, D., Hughes, A.M., Schreiber, M.R., Girard, J.H., Ercolano, B., Canovas, H., Román, P.E., Salinas, V.: Flows of gas through a protoplanetary gap. Nature 493, 191–194 (2013). https://doi.org/10.1038/nature11769
Cha, S.H., Nayakshin, S.: A numerical simulation of a ‘Super-Earth’ core delivery from 100 to 8 AU. MNRAS 415, 3319–3334 (2011). https://doi.org/10.1111/j.1365-2966.2011.18953.x
Chandrasekhar, S.: Hydrodynamic and hydromagnetic stability (1961)
Chang, P., Oishi, J.S.: On the stability of dust-laden protoplanetary vortices. ApJ 721, 1593–1602 (2010). https://doi.org/10.1088/0004-637X/721/2/1593
Chauvin, G., Vigan, A., Bonnefoy, M., Desidera, S., Bonavita, M., Mesa, D., Boccaletti, A., Buenzli, E., Carson, J., Delorme, P., Hagelberg, J., Montagnier, G., Mordasini, C., Quanz, S.P., Segransan, D., Thalmann, C., Beuzit, J.L., Biller, B., Covino, E., Feldt, M., Girard, J., Gratton, R., Henning, T., Kasper, M., Lagrange, A.M., Messina, S., Meyer, M., Mouillet, D., Moutou, C., Reggiani, M., Schlieder, J.E., Zurlo, A.: The VLT/NaCo large program to probe the occurrence of exoplanets and brown dwarfs at wide orbits. II. Survey description, results, and performances. A&A 573, A127 (2015). https://doi.org/10.1051/0004-6361/201423564
Chavanis, P.H.: Trap** of dust by coherent vortices in the solar nebula. A&A 356, 1089–1111 (2000)
Chiang, E., Youdin, A.N.: Forming planetesimals in solar and extrasolar nebulae. Annu. Rev. Earth Planet. Sci. 38, 493–522 (2010). https://doi.org/10.1146/annurev-earth-040809-152513
Chiang, E.I., Goldreich, P.: Spectral energy distributions of T Tauri stars with passive circumstellar disks. ApJ 490, 368–376 (1997)
Ciesla, F.J., Cuzzi, J.N.: The evolution of the water distribution in a viscous protoplanetary disk. Icarus 181, 178–204 (2006). https://doi.org/10.1016/j.icarus.2005.11.009
Clarke, C.J.: The photoevaporation of discs around young stars in massive clusters. MNRAS 376, 1350–1356 (2007). https://doi.org/10.1111/j.1365-2966.2007.11547.x
Clarke, C.J.: Pseudo-viscous modelling of self-gravitating discs and the formation of low mass ratio binaries. MNRAS 396, 1066–1074 (2009). https://doi.org/10.1111/j.1365-2966.2009.14774.x
Clarke, C.J., Armitage, P.J., Smith, K.W., Pringle, J.E.: Magnetically modulated accretion in T Tauri stars. MNRAS 273, 639–642 (1995)
Clarke, C.J., Gendrin, A., Sotomayor, M.: The dispersal of circumstellar discs: the role of the ultraviolet switch. MNRAS 328, 485–491 (2001). https://doi.org/10.1046/j.1365-8711.2001.04891.x
Clarke, C.J., Pringle, J.E.: The diffusion of contaminant through an accretion disc. MNRAS 235, 365–373 (1988)
Clarke, C.J., Syer, D.: Low-mass companions to T Tauri stars: a mechanism for rapid-rise FU Orionis outbursts. MNRAS 278, L23–L27 (1996)
Cleeves, L.I., Bergin, E.A., Qi, C., Adams, F.C., Öberg, K.I.: Constraining the X-ray and cosmic-ray ionization chemistry of the TW Hya protoplanetary disk: evidence for a sub-interstellar cosmic-ray rate. ApJ 799, 204 (2015). https://doi.org/10.1088/0004-637X/799/2/204
Cody, A.M., Stauffer, J., Baglin, A., Micela, G., Rebull, L.M., Flaccomio, E., Morales-Calderón, M., Aigrain, S., Bouvier, J., Hillenbrand, L.A., Gutermuth, R., Song, I., Turner, N., Alencar, S.H.P., Zwintz, K., Plavchan, P., Carpenter, J., Findeisen, K., Carey, S., Terebey, S., Hartmann, L., Calvet, N., Teixeira, P., Vrba, F.J., Wolk, S., Covey, K., Poppenhaeger, K., Günther, H.M., Forbrich, J., Whitney, B., Affer, L., Herbst, W., Hora, J., Barrado, D., Holtzman, J., Marchis, F., Wood, K., Medeiros Guimarães, M., Lillo Box, J., Gillen, E., McQuillan, A., Espaillat, C., Allen, L., D’Alessio, P., Favata, F.: CSI 2264: simultaneous optical and infrared light curves of young disk-bearing stars in NGC 2264 with CoRoT and Spitzer—evidence for multiple origins of variability. AJ 147, 82 (2014). https://doi.org/10.1088/0004-6256/147/4/82
Coleman, M.S.B., Kotko, I., Blaes, O., Lasota, J.P., Hirose, S.: Dwarf nova outbursts with magnetorotational turbulence. MNRAS 462, 3710–3726 (2016). https://doi.org/10.1093/mnras/stw1908
Connolly, H.C., Jones, R.H.: Chondrules: the canonical and noncanonical views. J. Geophys. Res. (Planets) 121, 1885–1899 (2016). https://doi.org/10.1002/2016JE005113
Cossins, P., Lodato, G., Clarke, C.: The effects of opacity on gravitational stability in protoplanetary discs. MNRAS 401, 2587–2598 (2010). https://doi.org/10.1111/j.1365-2966.2009.15835.x
Cossins, P., Lodato, G., Clarke, C.J.: Characterizing the gravitational instability in cooling accretion discs. MNRAS 393, 1157–1173 (2009). https://doi.org/10.1111/j.1365-2966.2008.14275.x
Curry, C., Pudritz, R.E.: On the global stability of magnetized accretion disks. II. Vertical and Azimuthal magnetic fields. ApJ 453, 697 (1995). https://doi.org/10.1086/176431
D’Angelo, C.R., Spruit, H.C.: Episodic accretion on to strongly magnetic stars. MNRAS 406, 1208–1219 (2010). https://doi.org/10.1111/j.1365-2966.2010.16749.x
D’Angelo, C.R., Spruit, H.C.: Accretion discs trapped near corotation. MNRAS 420, 416–429 (2012). https://doi.org/10.1111/j.1365-2966.2011.20046.x
Davis, S.W., Stone, J.M., Pessah, M.E.: Sustained magnetorotational turbulence in local simulations of stratified disks with zero net magnetic flux. ApJ 713, 52–65 (2010). https://doi.org/10.1088/0004-637X/713/1/52
de Val-Borro, M., Artymowicz, P., D’Angelo, G., Peplinski, A.: Vortex generation in protoplanetary disks with an embedded giant planet. A&A 471, 1043–1055 (2007). https://doi.org/10.1051/0004-6361:20077169
Deng, H., Mayer, L., Meru, F.: Convergence of the critical cooling rate for protoplanetary disk fragmentation achieved: the key role of numerical dissipation of angular momentum. ApJ 847, 43 (2017). https://doi.org/10.3847/1538-4357/aa872b
Desch, S.J.: Linear analysis of the magnetorotational instability, including ambipolar diffusion, with application to protoplanetary disks. ApJ 608, 509–525 (2004). https://doi.org/10.1086/392527
Dittrich, K., Klahr, H., Johansen, A.: Gravoturbulent planetesimal formation: the positive effect of long-lived zonal flows. ApJ 763, 117 (2013). https://doi.org/10.1088/0004-637X/763/2/117
D’Orazio, D.J., Haiman, Z., MacFadyen, A.: Accretion into the central cavity of a circumbinary disc. MNRAS 436, 2997–3020 (2013). https://doi.org/10.1093/mnras/stt1787
Draine, B.T.: Photoelectric heating of interstellar gas. ApJs 36, 595–619 (1978). https://doi.org/10.1086/190513
Draine, B.T.: On the submillimeter opacity of protoplanetary disks. ApJ 636, 1114–1120 (2006). https://doi.org/10.1086/498130
Draine, B.T., Roberge, W.G., Dalgarno, A.: Magnetohydrodynamic shock waves in molecular clouds. ApJ 264, 485–507 (1983). https://doi.org/10.1086/160617
Draine, B.T., Sutin, B.: Collisional charging of interstellar grains. ApJ 320, 803–817 (1987). https://doi.org/10.1086/165596
Dubrulle, B., Morfill, G., Sterzik, M.: The dust subdisk in the protoplanetary nebula. Icarus 114, 237–246 (1995). https://doi.org/10.1006/icar.1995.1058
Dutrey, A., Semenov, D., Chapillon, E., Gorti, U., Guilloteau, S., Hersant, F., Hogerheijde, M., Hughes, M., Meeus, G., Nomura, H., Piétu, V., Qi, C., Wakelam, V.: Physical and Chemical Structure of Planet-Forming Disks Probed by Millimeter Observations and Modeling. Protostars and Planets VI, pp. 317–338 (2014)
Eckhardt, B., Schneider, T.M., Hof, B., Westerweel, J.: Turbulence transition in pipe flow. Annu. Rev. Fluid Mech. 39, 447–468 (2007). https://doi.org/10.1146/annurev.fluid.39.050905.110308
Edlund, E.M., Ji, H.: Nonlinear stability of laboratory quasi-Keplerian flows. Phys. Rev. E 89(2), 021004 (2014). https://doi.org/10.1103/PhysRevE.89.021004
Eisner, J.A., Hillenbrand, L.A., Carpenter, J.M., Wolf, S.: Constraining the evolutionary stage of Class I protostars: multiwavelength observations and modeling. ApJ 635, 396–421 (2005). https://doi.org/10.1086/497161
Ercolano, B., Barlow, M.J., Storey, P.J.: The dusty MOCASSIN: fully self-consistent 3D photoionization and dust radiative transfer models. MNRAS 362, 1038–1046 (2005). https://doi.org/10.1111/j.1365-2966.2005.09381.x
Ercolano, B., Glassgold, A.E.: X-ray ionization rates in protoplanetary discs. MNRAS 436, 3446–3450 (2013). https://doi.org/10.1093/mnras/stt1826
Espaillat, C., Muzerolle, J., Najita, J., Andrews, S., Zhu, Z., Calvet, N., Kraus, S., Hashimoto, J., Kraus, A., D’Alessio, P.: An Observational Perspective of Transitional Disks. Protostars and Planets VI, pp. 497–520 (2014)
Evans II, N.J., Dunham, M.M., Jørgensen, J.K., Enoch, M.L., Merín, B., van Dishoeck, E.F., Alcalá, J.M., Myers, P.C., Stapelfeldt, K.R., Huard, T.L., Allen, L.E., Harvey, P.M., van Kempen, T., Blake, G.A., Koerner, D.W., Mundy, L.G., Padgett, D.L., Sargent, A.I.: The Spitzer c2d legacy results: star-formation rates and efficiencies; evolution and lifetimes. ApJs 181, 321–350 (2009). https://doi.org/10.1088/0067-0049/181/2/321
Faure, J., Fromang, S., Latter, H., Meheut, H.: Vortex cycles at the inner edges of dead zones in protoplanetary disks. A&A 573, A132 (2015). https://doi.org/10.1051/0004-6361/201424162
Fedele, D., Carney, M., Hogerheijde, M.R., Walsh, C., Miotello, A., Klaassen, P., Bruderer, S., Henning, T., van Dishoeck, E.F.: ALMA unveils rings and gaps in the protoplanetary system \(<\)ASTROBJ\(>\)HD 169142\(</\)ASTROBJ\(>\): signatures of two giant protoplanets. A&A 600, A72 (2017). https://doi.org/10.1051/0004-6361/201629860
Federrath, C., Banerjee, S.: The density structure and star formation rate of non-isothermal polytropic turbulence. MNRAS 448, 3297–3313 (2015). https://doi.org/10.1093/mnras/stv180
Flaherty, K.M., Hughes, A.M., Rose, S.C., Simon, J.B., Qi, C., Andrews, S.M., Kóspál, Á., Wilner, D.J., Chiang, E., Armitage, P.J., Bai, X.N.: A three-dimensional view of turbulence: constraints on turbulent motions in the HD 163296 protoplanetary disk using DCO\(^{+}\). ApJ 843, 150 (2017). https://doi.org/10.3847/1538-4357/aa79f9
Flaherty, K.M., Hughes, A.M., Rosenfeld, K.A., Andrews, S.M., Chiang, E., Simon, J.B., Kerzner, S., Wilner, D.J.: Weak turbulence in the HD 163296 protoplanetary disk revealed by ALMA CO observations. ApJ 813, 99 (2015). https://doi.org/10.1088/0004-637X/813/2/99
Fleming, T., Stone, J.M.: Local magnetohydrodynamic models of layered accretion disks. ApJ 585, 908–920 (2003). https://doi.org/10.1086/345848
Flock, M., Ruge, J.P., Dzyurkevich, N., Henning, T., Klahr, H., Wolf, S.: Gaps, rings, and non-axisymmetric structures in protoplanetary disks. From simulations to ALMA observations. A&A 574, A68 (2015). https://doi.org/10.1051/0004-6361/201424693
Follette, K.B., Rameau, J., Dong, R., Pueyo, L., Close, L.M., Duchêne, G., Fung, J., Leonard, C., Macintosh, B., Males, J.R., Marois, C., Millar-Blanchaer, M.A., Morzinski, K.M., Mullen, W., Perrin, M., Spiro, E., Wang, J., Ammons, S.M., Bailey, V.P., Barman, T., Bulger, J., Chilcote, J., Cotten, T., De Rosa, R.J., Doyon, R., Fitzgerald, M.P., Goodsell, S.J., Graham, J.R., Greenbaum, A.Z., Hibon, P., Hung, L.W., Ingraham, P., Kalas, P., Konopacky, Q., Larkin, J.E., Maire, J., Marchis, F., Metchev, S., Nielsen, E.L., Oppenheimer, R., Palmer, D., Patience, J., Poyneer, L., Rajan, A., Rantakyrö, F.T., Savransky, D., Schneider, A.C., Sivaramakrishnan, A., Song, I., Soummer, R., Thomas, S., Vega, D., Wallace, J.K., Ward-Duong, K., Wiktorowicz, S., Wolff, S.: Complex spiral structure in the HD 100546 transitional disk as revealed by GPI and MagAO. AJ 153, 264 (2017). https://doi.org/10.3847/1538-3881/aa6d85
Font, A.S., McCarthy, I.G., Johnstone, D., Ballantyne, D.R.: Photoevaporation of circumstellar disks around young stars. ApJ 607, 890–903 (2004). https://doi.org/10.1086/383518
Forgan, D., Rice, K.: Stellar encounters in the context of outburst phenomena. MNRAS 402, 1349–1356 (2010). https://doi.org/10.1111/j.1365-2966.2009.15974.x
Forgan, D., Rice, K., Cossins, P., Lodato, G.: The nature of angular momentum transport in radiative self-gravitating protostellar discs. MNRAS 410, 994–1006 (2011). https://doi.org/10.1111/j.1365-2966.2010.17500.x
France, K., Schindhelm, E., Bergin, E.A., Roueff, E., Abgrall, H.: High-resolution ultraviolet radiation fields of classical T Tauri stars. ApJ 784, 127 (2014). https://doi.org/10.1088/0004-637X/784/2/127
France, K., Schindhelm, E., Herczeg, G.J., Brown, A., Abgrall, H., Alexander, R.D., Bergin, E.A., Brown, J.M., Linsky, J.L., Roueff, E., Yang, H.: A Hubble Space telescope survey of H\(_{2}\) emission in the circumstellar environments of young stars. ApJ 756, 171 (2012). https://doi.org/10.1088/0004-637X/756/2/171
Frank, J., King, A., Raine, D.J.: Accretion Power in Astrophysics, 3rd ed. (2002)
Fricke, K.: Instabilität stationärer Rotation in Sternen. Zeitschrift für Astrophysik 68, 317 (1968)
Fromang, S.: MRI-driven angular momentum transport in protoplanetary disks. In: Hennebelle, P., Charbonnel, P. (eds.) EAS Publications Series, vol. 62, pp. 95–142 (2013). https://doi.org/10.1051/eas/1362004
Fromang, S., Latter, H., Lesur, G., Ogilvie, G.I.: Local outflows from turbulent accretion disks. A&A 552, A71 (2013). https://doi.org/10.1051/0004-6361/201220016
Fromang, S., Papaloizou, J.: Dust settling in local simulations of turbulent protoplanetary disks. A&A 452, 751–762 (2006). https://doi.org/10.1051/0004-6361:20054612
Fu, R.R., Weiss, B.P., Lima, E.A., Harrison, R.J., Bai, X.N., Desch, S.J., Ebel, D.S., Suavet, C., Wang, H., Glenn, D., Le Sage, D., Kasama, T., Walsworth, R.L., Kuan, A.T.: Solar nebula magnetic fields recorded in the semarkona meteorite. Science (2014). https://doi.org/10.1126/science.1258022. http://www.sciencemag.org/content/early/2014/11/12/science.1258022.abstract
Fu, W., Li, H., Lubow, S., Li, S., Liang, E.: Effects of dust feedback on vortices in protoplanetary disks. ApJ 795, L39 (2014). https://doi.org/10.1088/2041-8205/795/2/L39
Galicher, R., Marois, C., Macintosh, B., Zuckerman, B., Barman, T., Konopacky, Q., Song, I., Patience, J., Lafrenière, D., Doyon, R., Nielsen, E.L.: The international deep planet survey. II. The frequency of directly imaged giant exoplanets with stellar mass. A&A 594, A63 (2016). https://doi.org/10.1051/0004-6361/201527828
Galvagni, M., Hayfield, T., Boley, A., Mayer, L., Roškar, R., Saha, P.: The collapse of protoplanetary clumps formed through disc instability: 3D simulations of the pre-dissociation phase. MNRAS 427, 1725–1740 (2012). https://doi.org/10.1111/j.1365-2966.2012.22096.x
Gammie, C.F.: Layered accretion in T Tauri disks. ApJ 457, 355 (1996). https://doi.org/10.1086/176735
Gammie, C.F.: Instabilities in circumstellar discs. In: Sellwood, J.A., Goodman, J. (eds.) Astrophysical Discs—An EC Summer School. Astronomical Society of the Pacific Conference Series, vol. 160, p. 122 (1999)
Gammie, C.F.: Nonlinear outcome of gravitational instability in cooling, gaseous disks. ApJ 553, 174–183 (2001). https://doi.org/10.1086/320631
Garaud, P., Lin, D.N.C.: The effect of internal dissipation and surface irradiation on the structure of disks and the location of the snow line around Sun-like stars. ApJ 654, 606–624 (2007). https://doi.org/10.1086/509041
Garufi, A., Quanz, S.P., Schmid, H.M., Mulders, G.D., Avenhaus, H., Boccaletti, A., Ginski, C., Langlois, M., Stolker, T., Augereau, J.C., Benisty, M., Lopez, B., Dominik, C., Gratton, R., Henning, T., Janson, M., Ménard, F., Meyer, M.R., Pinte, C., Sissa, E., Vigan, A., Zurlo, A., Bazzon, A., Buenzli, E., Bonnefoy, M., Brandner, W., Chauvin, G., Cheetham, A., Cudel, M., Desidera, S., Feldt, M., Galicher, R., Kasper, M., Lagrange, A.M., Lannier, J., Maire, A.L., Mesa, D., Mouillet, D., Peretti, S., Perrot, C., Salter, G., Wildi, F.: The SPHERE view of the planet-forming disk around HD 100546. A&A 588, A8 (2016). https://doi.org/10.1051/0004-6361/201527940
Gibbons, P.G., Mamatsashvili, G.R., Rice, W.K.M.: Planetesimal formation in self-gravitating discs—the effects of particle self-gravity and back-reaction. MNRAS 442, 361–371 (2014). https://doi.org/10.1093/mnras/stu809
Godon, P., Livio, M.: The formation and role of vortices in protoplanetary disks. ApJ 537, 396–404 (2000). https://doi.org/10.1086/309019
Goldreich, P., Goodman, J., Narayan, R.: The stability of accretion tori. I—Long-wavelength modes of slender tori. MNRAS 221, 339–364 (1986)
Goldreich, P., Schubert, G.: Differential rotation in stars. ApJ 150, 571 (1967). https://doi.org/10.1086/149360
Goodman, A.A., Benson, P.J., Fuller, G.A., Myers, P.C.: Dense cores in dark clouds. VIII—Velocity gradients. ApJ 406, 528–547 (1993). https://doi.org/10.1086/172465
Gorti, U., Dullemond, C.P., Hollenbach, D.: Time evolution of viscous circumstellar disks due to photoevaporation by far-ultraviolet, extreme-ultraviolet, and X-ray radiation from the central star. ApJ 705, 1237–1251 (2009). https://doi.org/10.1088/0004-637X/705/2/1237
Gorti, U., Hollenbach, D.: Photoevaporation of circumstellar disks by far-ultraviolet, extreme-ultraviolet and X-ray radiation from the central star. ApJ 690, 1539–1552 (2009). https://doi.org/10.1088/0004-637X/690/2/1539
Gorti, U., Hollenbach, D., Dullemond, C.P.: The impact of dust evolution and photoevaporation on disk dispersal. ApJ 804, 29 (2015). https://doi.org/10.1088/0004-637X/804/1/29
Grady, C.A., Muto, T., Hashimoto, J., Fukagawa, M., Currie, T., Biller, B., Thalmann, C., Sitko, M.L., Russell, R., Wisniewski, J., Dong, R., Kwon, J., Sai, S., Hornbeck, J., Schneider, G., Hines, D., Moro Martín, A., Feldt, M., Henning, T., Pott, J.U., Bonnefoy, M., Bouwman, J., Lacour, S., Mueller, A., Juhász, A., Crida, A., Chauvin, G., Andrews, S., Wilner, D., Kraus, A., Dahm, S., Robitaille, T., Jang-Condell, H., Abe, L., Akiyama, E., Brandner, W., Brandt, T., Carson, J., Egner, S., Follette, K.B., Goto, M., Guyon, O., Hayano, Y., Hayashi, M., Hayashi, S., Hodapp, K., Ishii, M., Iye, M., Janson, M., Kandori, R., Knapp, G., Kudo, T., Kusakabe, N., Kuzuhara, M., Mayama, S., McElwain, M., Matsuo, T., Miyama, S., Morino, J.I., Nishimura, T., Pyo, T.S., Serabyn, G., Suto, H., Suzuki, R., Takami, M., Takato, N., Terada, H., Tomono, D., Turner, E., Watanabe, M., Yamada, T., Takami, H., Usuda, T., Tamura, M.: Spiral arms in the asymmetrically illuminated disk of MWC 758 and constraints on giant planets. ApJ 762, 48 (2013). https://doi.org/10.1088/0004-637X/762/1/48
Gressel, O., Turner, N.J., Nelson, R.P., McNally, C.P.: Global simulations of protoplanetary disks with ohmic resistivity and ambipolar diffusion. ApJ 801, 84 (2015). https://doi.org/10.1088/0004-637X/801/2/84
Güdel, M., Briggs, K.R., Arzner, K., Audard, M., Bouvier, J., Feigelson, E.D., Franciosini, E., Glauser, A., Grosso, N., Micela, G., Monin, J.L., Montmerle, T., Padgett, D.L., Palla, F., Pillitteri, I., Rebull, L., Scelsi, L., Silva, B., Skinner, S.L., Stelzer, B., Telleschi, A.: The XMM-Newton extended survey of the Taurus molecular cloud (XEST). A&A 468, 353–377 (2007). https://doi.org/10.1051/0004-6361:20065724
Guilet, J., Ogilvie, G.I.: Transport of magnetic flux and the vertical structure of accretion discs—I. Uniform diffusion coefficients. MNRAS 424, 2097–2117 (2012). https://doi.org/10.1111/j.1365-2966.2012.21361.x
Guilet, J., Ogilvie, G.I.: Global evolution of the magnetic field in a thin disc and its consequences for protoplanetary systems. MNRAS 441, 852–868 (2014). https://doi.org/10.1093/mnras/stu532
Gullbring, E., Calvet, N., Muzerolle, J., Hartmann, L.: The structure and emission of the accretion shock in T Tauri stars. II. The ultraviolet-continuum emission. ApJ 544, 927–932 (2000). https://doi.org/10.1086/317253
Gullbring, E., Hartmann, L., Briceño, C., Calvet, N.: Disk accretion rates for T Tauri stars. ApJ 492, 323–341 (1998). https://doi.org/10.1086/305032
Hōshi, R.: Accretion model for outbursts of dwarf nova. Prog. Theor. Phys. 61, 1307–1319 (1979). https://doi.org/10.1143/PTP.61.1307
Haghighipour, N., Boss, A.P.: On pressure gradients and rapid migration of solids in a nonuniform solar nebula. ApJ 583, 996–1003 (2003). https://doi.org/10.1086/345472
Haisch Jr., K.E., Lada, E.A., Lada, C.J.: Disk frequencies and lifetimes in young clusters. ApJ 553, L153–L156 (2001). https://doi.org/10.1086/320685
Hartmann, L., Calvet, N., Gullbring, E., D’Alessio, P.: Accretion and the evolution of T Tauri disks. ApJ 495, 385–400 (1998). https://doi.org/10.1086/305277
Hartmann, L., Kenyon, S.J.: The FU Orionis phenomenon. ARA&A 34, 207–240 (1996). https://doi.org/10.1146/annurev.astro.34.1.207
Hawley, J.F., Gammie, C.F., Balbus, S.A.: Local three-dimensional magnetohydrodynamic simulations of accretion disks. ApJ 440, 742 (1995). https://doi.org/10.1086/175311
Hawley, J.F., Stone, J.M.: Nonlinear evolution of the magnetorotational instability in ion-neutral disks. ApJ 501, 758–771 (1998). https://doi.org/10.1086/305849
Hayashi, C.: Structure of the solar nebula, growth and decay of magnetic fields and effects of magnetic and turbulent viscosities on the nebula. Prog. Theor. Phys. Suppl. 70, 35–53 (1981). https://doi.org/10.1143/PTPS.70.35
Haynes, D.R., Tro, N.J., George, S.M.: Condensation and evaporation of H\({}_2\)O on ice surfaces. J. Phys. Chem. 96, 8502–8509 (1992)
Henning, T., Semenov, D.: Chemistry in protoplanetary disks. Chem. Rev. 113, 9016–9042 (2013). https://doi.org/10.1021/cr400128p
Herbig, G.H.: Eruptive phenomena in early stellar evolution. ApJ 217, 693–715 (1977). https://doi.org/10.1086/155615
Herbig, G.H.: History and spectroscopy of EXor candidates. AJ 135, 637–648 (2008). https://doi.org/10.1088/0004-6256/135/2/637
Herczeg, G.J., Hillenbrand, L.A.: UV excess measures of accretion onto young very low mass stars and brown dwarfs. ApJ 681, 594–625 (2008). https://doi.org/10.1086/586728
Hernández, J., Hartmann, L., Megeath, T., Gutermuth, R., Muzerolle, J., Calvet, N., Vivas, A.K., Briceño, C., Allen, L., Stauffer, J., Young, E., Fazio, G.: A Spitzer space telescope study of disks in the young \(\sigma \) Orionis cluster. ApJ 662, 1067–1081 (2007). https://doi.org/10.1086/513735
Hillenbrand, L.A., Findeisen, K.P.: A simple calculation in service of constraining the rate of FU Orionis outburst events from photometric monitoring surveys. ApJ 808, 68 (2015). https://doi.org/10.1088/0004-637X/808/1/68
Hirose, S., Blaes, O., Krolik, J.H., Coleman, M.S.B., Sano, T.: Convection causes enhanced magnetic turbulence in accretion disks in outburst. ApJ 787, 1 (2014). https://doi.org/10.1088/0004-637X/787/1/1
Hirose, S., Turner, N.J.: Heating and cooling protostellar disks. ApJ 732, L30 (2011). https://doi.org/10.1088/2041-8205/732/2/L30
Hogerheijde, M.R., Bergin, E.A., Brinch, C., Cleeves, L.I., Fogel, J.K.J., Blake, G.A., Dominik, C., Lis, D.C., Melnick, G., Neufeld, D., Panić, O., Pearson, J.C., Kristensen, L., Yıldız, U.A., van Dishoeck, E.F.: Detection of the water reservoir in a forming planetary system. Science 334, 338 (2011). https://doi.org/10.1126/science.1208931
Hollenbach, D., Johnstone, D., Lizano, S., Shu, F.: Photoevaporation of disks around massive stars and application to ultracompact H II regions. ApJ 428, 654–669 (1994). https://doi.org/10.1086/174276
Hopkins, P.F.: A new class of accurate, mesh-free hydrodynamic simulation methods. MNRAS 450, 53–110 (2015). https://doi.org/10.1093/mnras/stv195
Ilgner, M., Nelson, R.P.: On the ionisation fraction in protoplanetary disks. I. Comparing different reaction networks. A&A 445, 205–222 (2006). https://doi.org/10.1051/0004-6361:20053678
Illarionov, A.F., Sunyaev, R.A.: Why the number of galactic X-ray stars is so small? A&A 39, 185 (1975)
Inaba, S., Barge, P.: Dusty vortices in protoplanetary disks. ApJ 649, 415–427 (2006). https://doi.org/10.1086/506427
Ingleby, L., Calvet, N., Hernández, J., Briceño, C., Espaillat, C., Miller, J., Bergin, E., Hartmann, L.: Evolution of X-ray and far-ultraviolet disk-dispersing radiation fields. AJ 141, 127 (2011). https://doi.org/10.1088/0004-6256/141/4/127
Inutsuka, S.I., Sano, T.: Self-sustained ionization and vanishing dead zones in protoplanetary disks. ApJ 628, L155–L158 (2005). https://doi.org/10.1086/432796
Isella, A., Guidi, G., Testi, L., Liu, S., Li, H., Li, S., Weaver, E., Boehler, Y., Carperter, J.M., De Gregorio-Monsalvo, I., Manara, C.F., Natta, A., Pérez, L.M., Ricci, L., Sargent, A., Tazzari, M., Turner, N.: Ringed structures of the HD 163296 protoplanetary disk revealed by ALMA. Phys. Rev. Lett. 117(25), 251101 (2016). https://doi.org/10.1103/PhysRevLett.117.251101
Isella, A., Pérez, L.M., Carpenter, J.M., Ricci, L., Andrews, S., Rosenfeld, K.: An Azimuthal asymmetry in the LkH\(\alpha \) 330 disk. ApJ 775, 30 (2013). https://doi.org/10.1088/0004-637X/775/1/30
Jacquet, E., Balbus, S., Latter, H.: On linear dust-gas streaming instabilities in protoplanetary discs. MNRAS 415, 3591–3598 (2011). https://doi.org/10.1111/j.1365-2966.2011.18971.x
**, L.: Dam** of the shear instability in magnetized disks by ohmic diffusion. ApJ 457, 798 (1996). https://doi.org/10.1086/176774
Johansen, A., Blum, J., Tanaka, H., Ormel, C., Bizzarro, M., Rickman, H.: The Multifaceted Planetesimal Formation Process. Protostars and Planets VI, pp. 547–570 (2014)
Johansen, A., Klahr, H., Henning, T.: High-resolution simulations of planetesimal formation in turbulent protoplanetary discs. A&A 529, A62 (2011). https://doi.org/10.1051/0004-6361/201015979
Johansen, A., Mac Low, M.M., Lacerda, P., Bizzarro, M.: Growth of asteroids, planetary embryos, and Kuiper belt objects by chondrule accretion. Sci. Adv. 1, 1500109 (2015). https://doi.org/10.1126/sciadv.1500109
Johansen, A., Oishi, J.S., Mac Low, M.M., Klahr, H., Henning, T., Youdin, A.: Rapid planetesimal formation in turbulent circumstellar disks. Nature 448, 1022–1025 (2007). https://doi.org/10.1038/nature06086
Johansen, A., Youdin, A.: Protoplanetary disk turbulence driven by the streaming instability: nonlinear saturation and particle concentration. ApJ 662, 627–641 (2007). https://doi.org/10.1086/516730
Johansen, A., Youdin, A., Klahr, H.: Zonal flows and long-lived axisymmetric pressure bumps in magnetorotational turbulence. ApJ 697, 1269–1289 (2009). https://doi.org/10.1088/0004-637X/697/2/1269
Johansen, A., Youdin, A., Mac Low, M.M.: Particle clum** and planetesimal formation depend strongly on metallicity. ApJ 704, L75–L79 (2009). https://doi.org/10.1088/0004-637X/704/2/L75
Johnson, B.M., Gammie, C.F.: Nonlinear outcome of gravitational instability in disks with realistic cooling. ApJ 597, 131–141 (2003). https://doi.org/10.1086/378392
Johnson, B.M., Gammie, C.F.: Vortices in thin, compressible, unmagnetized disks. ApJ 635, 149–156 (2005). https://doi.org/10.1086/497358
Johnstone, C.P., Jardine, M., Gregory, S.G., Donati, J.F., Hussain, G.: Classical T Tauri stars: magnetic fields, coronae and star-disc interactions. MNRAS 437, 3202–3220 (2014). https://doi.org/10.1093/mnras/stt2107
Joy, A.H.: T Tauri variable stars. ApJ 102, 168 (1945). https://doi.org/10.1086/144749
Kama, M., Bruderer, S., van Dishoeck, E.F., Hogerheijde, M., Folsom, C.P., Miotello, A., Fedele, D., Belloche, A., Güsten, R., Wyrowski, F.: Volatile-carbon locking and release in protoplanetary disks. A study of TW Hya and HD 100546. A&A 592, A83 (2016). https://doi.org/10.1051/0004-6361/201526991
Kamp, I., Dullemond, C.P.: The gas temperature in the surface layers of protoplanetary disks. ApJ 615, 991–999 (2004). https://doi.org/10.1086/424703
Kamp, I., van Zadelhoff, G.J.: On the gas temperature in circumstellar disks around A stars. A&A 373, 641–656 (2001). https://doi.org/10.1051/0004-6361:20010629
Kenyon, S.J., Hartmann, L.: Spectral energy distributions of T Tauri stars—disk flaring and limits on accretion. ApJ 323, 714–733 (1987). https://doi.org/10.1086/165866
Kerswell, R.R.: Elliptical instability. Annu. Rev. Fluid Mech. 34, 83–113 (2002). https://doi.org/10.1146/annurev.fluid.34.081701.171829
Kida, S.: Motion of an elliptic vortex in a uniform shear flow. J. Phys. Soc. Jpn. 50, 3517–3520 (1981). https://doi.org/10.1143/JPSJ.50.3517
Kim, K.H., Watson, D.M., Manoj, P., Forrest, W.J., Furlan, E., Najita, J., Sargent, B., Hernández, J., Calvet, N., Adame, L., Espaillat, C., Megeath, S.T., Muzerolle, J., McClure, M.K.: The Spitzer infrared spectrograph survey of protoplanetary disks in Orion A. I. Disk properties. ApJs 226, 8 (2016). https://doi.org/10.3847/0067-0049/226/1/8
King, A.R., Pringle, J.E., Livio, M.: Accretion disc viscosity: how big is alpha? MNRAS 376, 1740–1746 (2007). https://doi.org/10.1111/j.1365-2966.2007.11556.x
Klahr, H.H., Bodenheimer, P.: Turbulence in accretion disks: vorticity generation and angular momentum transport via the global baroclinic instability. ApJ 582, 869–892 (2003). https://doi.org/10.1086/344743
Kley, W., Lin, D.N.C.: The structure of the boundary layer in protostellar disks. ApJ 461, 933 (1996). https://doi.org/10.1086/177115
Kley, W., Nelson, R.P.: Planet-disk interaction and orbital evolution. ARA&A 50, 211–249 (2012). https://doi.org/10.1146/annurev-astro-081811-125523
Koenigl, A.: Disk accretion onto magnetic T Tauri stars. ApJ 370, L39–L43 (1991). https://doi.org/10.1086/185972
Koller, J., Li, H., Lin, D.N.C.: Vortices in the co-orbital region of an embedded protoplanet. ApJ 596, L91–L94 (2003). https://doi.org/10.1086/379032
Königl, A., Salmeron, R.: The Effects of Large-Scale Magnetic Fields on Disk Formation and Evolution, pp. 283–352 (2011)
Kounkel, M., Hartmann, L., Loinard, L., Ortiz-León, G.N., Mioduszewski, A.J., Rodríguez, L.F., Dzib, S.A., Torres, R.M., Pech, G., Galli, P.A.B., Rivera, J.L., Boden, A.F., Evans II, N.J., Briceño, C., Tobin, J.J.: The Goulds Belt Distances Survey (GOBELINS) II. Distances and structure toward the Orion molecular clouds. ApJ 834, 142 (2017). https://doi.org/10.3847/1538-4357/834/2/142
Kraichnan, R.H.: Inertial ranges in two-dimensional turbulence. Phys. Fluids 10, 1417–1423 (1967). https://doi.org/10.1063/1.1762301
Krasnopolsky, R., Li, Z.Y., Shang, H.: Disk formation in magnetized clouds enabled by the Hall effect. ApJ 733, 54 (2011). https://doi.org/10.1088/0004-637X/733/1/54
Kratter, K., Lodato, G.: Gravitational instabilities in circumstellar disks. ARA&A 54, 271–311 (2016). https://doi.org/10.1146/annurev-astro-081915-023307
Kratter, K.M., Matzner, C.D., Krumholz, M.R., Klein, R.I.: On the role of disks in the formation of stellar systems: a numerical parameter study of rapid accretion. ApJ 708, 1585–1597 (2010). https://doi.org/10.1088/0004-637X/708/2/1585
Kratter, K.M., Murray-Clay, R.A., Youdin, A.N.: The runts of the litter: why planets formed through gravitational instability can only be failed binary stars. ApJ 710, 1375–1386 (2010). https://doi.org/10.1088/0004-637X/710/2/1375
Kretke, K.A., Lin, D.N.C.: Grain retention and formation of planetesimals near the snow line in MRI-driven turbulent protoplanetary disks. ApJ 664, L55–L58 (2007). https://doi.org/10.1086/520718
Kuiper, G.P.: On the origin of the solar system. Proc. Natl. Acad. Sci. 37, 1–14 (1951). https://doi.org/10.1073/pnas.37.1.1
Kunz, M.W.: On the linear stability of weakly ionized, magnetized planar shear flows. MNRAS 385, 1494–1510 (2008). https://doi.org/10.1111/j.1365-2966.2008.12928.x
Kunz, M.W., Balbus, S.A.: Ambipolar diffusion in the magnetorotational instability. MNRAS 348, 355–360 (2004). https://doi.org/10.1111/j.1365-2966.2004.07383.x
Kunz, M.W., Lesur, G.: Magnetic self-organization in Hall-dominated magnetorotational turbulence. MNRAS 434, 2295–2312 (2013). https://doi.org/10.1093/mnras/stt1171
Kurosawa, R., Romanova, M.M.: Spectral variability of classical T Tauri stars accreting in an unstable regime. MNRAS 431, 2673–2689 (2013). https://doi.org/10.1093/mnras/stt365
Lada, C.J., Wilking, B.A.: The nature of the embedded population in the Rho Ophiuchi dark cloud—mid-infrared observations. ApJ 287, 610–621 (1984). https://doi.org/10.1086/162719
Lai, D.: Magnetically driven war**, precession, and resonances in accretion disks. ApJ 524, 1030–1047 (1999). https://doi.org/10.1086/307850
Larwood, J.D., Nelson, R.P., Papaloizou, J.C.B., Terquem, C.: The tidally induced war**, precession and truncation of accretion discs in binary systems: three-dimensional simulations. MNRAS 282, 597–613 (1996)
Lasota, J.P.: The disc instability model of dwarf novae and low-mass X-ray binary transients. New Ast. Rev. 45, 449–508 (2001). https://doi.org/10.1016/S1387-6473(01)00112-9
Latter, H.N., Papaloizou, J.: Local models of astrophysical discs. MNRAS 472, 1432–1446 (2017). https://doi.org/10.1093/mnras/stx2038
Lecar, M., Podolak, M., Sasselov, D., Chiang, E.: On the location of the snow line in a protoplanetary disk. ApJ 640, 1115–1118 (2006). https://doi.org/10.1086/500287
Lesur, G., Kunz, M.W., Fromang, S.: Thanatology in protoplanetary discs. The combined influence of ohmic, Hall, and ambipolar diffusion on dead zones. A&A 566, A56 (2014). https://doi.org/10.1051/0004-6361/201423660
Lesur, G., Longaretti, P.Y.: On the relevance of subcritical hydrodynamic turbulence to accretion disk transport. A&A 444, 25–44 (2005). https://doi.org/10.1051/0004-6361:20053683
Lesur, G., Ogilvie, G.I.: On the angular momentum transport due to vertical convection in accretion discs. MNRAS 404, L64–L68 (2010). https://doi.org/10.1111/j.1745-3933.2010.00836.x
Lesur, G., Papaloizou, J.C.B.: On the stability of elliptical vortices in accretion discs. A&A 498, 1–12 (2009). https://doi.org/10.1051/0004-6361/200811577
Lesur, G., Papaloizou, J.C.B.: The subcritical baroclinic instability in local accretion disc models. A&A 513, A60 (2010). https://doi.org/10.1051/0004-6361/200913594
Lesur, G.R.J., Latter, H.: On the survival of zombie vortices in protoplanetary discs. MNRAS 462, 4549–4554 (2016). https://doi.org/10.1093/mnras/stw2172
Levin, Y.: Starbursts near supermassive black holes: young stars in the Galactic Centre, and gravitational waves in LISA band. MNRAS 374, 515–524 (2007). https://doi.org/10.1111/j.1365-2966.2006.11155.x
Li, H., Colgate, S.A., Wendroff, B., Liska, R.: Rossby wave instability of thin accretion disks. III. Nonlinear simulations. ApJ 551, 874–896 (2001). https://doi.org/10.1086/320241
Li, H., Finn, J.M., Lovelace, R.V.E., Colgate, S.A.: Rossby wave instability of thin accretion disks. II. Detailed linear theory. ApJ 533, 1023–1034 (2000). https://doi.org/10.1086/308693
Li, Z.Y., Banerjee, R., Pudritz, R.E., Jørgensen, J.K., Shang, H., Krasnopolsky, R., Maury, A.: The Earliest Stages of Star and Planet Formation: Core Collapse, and the Formation of Disks and Outflows. Protostars and Planets VI, pp. 173–194 (2014)
Liffman, K.: The gravitational radius of an irradiated disk. Publ. Aston. Soc. Aust. 20, 337–339 (2003). https://doi.org/10.1071/AS03019
Lin, M.K.: Non-barotropic linear Rossby wave instability in three-dimensional disks. ApJ 765, 84 (2013). https://doi.org/10.1088/0004-637X/765/2/84
Lin, M.K., Youdin, A.N.: Cooling requirements for the vertical shear instability in protoplanetary disks. ApJ 811, 17 (2015). https://doi.org/10.1088/0004-637X/811/1/17
Lodato, G., Clarke, C.J.: Massive planets in FU Orionis discs: implications for thermal instability models. MNRAS 353, 841–852 (2004). https://doi.org/10.1111/j.1365-2966.2004.08112.x
Lodato, G., Pringle, J.E.: Warp diffusion in accretion discs: a numerical investigation. MNRAS 381, 1287–1300 (2007). https://doi.org/10.1111/j.1365-2966.2007.12332.x
Lodato, G., Rice, W.K.M.: Testing the locality of transport in self-gravitating accretion discs. MNRAS 351, 630–642 (2004). https://doi.org/10.1111/j.1365-2966.2004.07811.x
Lodato, G., Rice, W.K.M.: Testing the locality of transport in self-gravitating accretion discs—II. The massive disc case. MNRAS 358, 1489–1500 (2005). https://doi.org/10.1111/j.1365-2966.2005.08875.x
Lodders, K.: Solar system abundances and condensation temperatures of the elements. ApJ 591, 1220–1247 (2003). https://doi.org/10.1086/375492
Loomis, R.A., Öberg, K.I., Andrews, S.M., MacGregor, M.A.: A multi-ringed, modestly inclined protoplanetary disk around AA Tau. ApJ 840, 23 (2017). https://doi.org/10.3847/1538-4357/aa6c63
Lovelace, R.V.E., Li, H., Colgate, S.A., Nelson, A.F.: Rossby wave instability of Keplerian accretion disks. ApJ 513, 805–810 (1999). https://doi.org/10.1086/306900
Lovelace, R.V.E., Rothstein, D.M., Bisnovatyi-Kogan, G.S.: Advection/diffusion of large-scale B field in accretion disks. ApJ 701, 885–890 (2009). https://doi.org/10.1088/0004-637X/701/2/885
Lubow, S.H., Martin, R.G., Nixon, C.: Tidal torques on misaligned disks in binary systems. ApJ 800, 96 (2015). https://doi.org/10.1088/0004-637X/800/2/96
Lubow, S.H., Ogilvie, G.I.: On the tilting of protostellar disks by resonant tidal effects. ApJ 538, 326–340 (2000). https://doi.org/10.1086/309101
Lubow, S.H., Papaloizou, J.C.B., Pringle, J.E.: Magnetic field dragging in accretion discs. MNRAS 267, 235–240 (1994)
Lubow, S.H., Papaloizou, J.C.B., Pringle, J.E.: On the stability of magnetic wind-driven accretion discs. MNRAS 268, 1010 (1994)
Luhman, K.L., Allen, P.R., Espaillat, C., Hartmann, L., Calvet, N.: The disk population of the Taurus star-forming region. ApJs 186, 111–174 (2010). https://doi.org/10.1088/0067-0049/186/1/111
Lynden-Bell, D.: On why discs generate magnetic towers and collimate jets. MNRAS 341, 1360–1372 (2003). https://doi.org/10.1046/j.1365-8711.2003.06506.x
Lynden-Bell, D., Pringle, J.E.: The evolution of viscous discs and the origin of the nebular variables. MNRAS 168, 603–637 (1974)
Lyra, W., Johansen, A., Klahr, H., Piskunov, N.: Embryos grown in the dead zone. Assembling the first protoplanetary cores in low mass self-gravitating circumstellar disks of gas and solids. A&A 491, L41–L44 (2008). https://doi.org/10.1051/0004-6361:200810626
Lyra, W., Johansen, A., Zsom, A., Klahr, H., Piskunov, N.: Planet formation bursts at the borders of the dead zone in 2D numerical simulations of circumstellar disks. A&A 497, 869–888 (2009). https://doi.org/10.1051/0004-6361/200811265
Lyra, W., Kuchner, M.: Formation of sharp eccentric rings in debris disks with gas but without planets. Nature 499, 184–187 (2013). https://doi.org/10.1038/nature12281
Lyra, W., Mac Low, M.M.: Rossby wave instability at dead zone boundaries in three-dimensional resistive magnetohydrodynamical global models of protoplanetary disks. ApJ 756, 62 (2012). https://doi.org/10.1088/0004-637X/756/1/62
Lyra, W., Turner, N.J., McNally, C.P.: Rossby wave instability does not require sharp resistivity gradients. A&A 574, A10 (2015). https://doi.org/10.1051/0004-6361/201424919
Malygin, M.G., Klahr, H., Semenov, D., Henning, T., Dullemond, C.P.: Efficiency of thermal relaxation by radiative processes in protoplanetary discs: constraints on hydrodynamic turbulence. A&A 605, A30 (2017). https://doi.org/10.1051/0004-6361/201629933
Manara, C.F., Fedele, D., Herczeg, G.J., Teixeira, P.S.: X-Shooter study of accretion in Chamaeleon I. A&A 585, A136 (2016). https://doi.org/10.1051/0004-6361/201527224
Manara, C.F., Testi, L., Natta, A., Rosotti, G., Benisty, M., Ercolano, B., Ricci, L.: Gas content of transitional disks: a VLT/X-Shooter study of accretion and winds. A&A 568, A18 (2014). https://doi.org/10.1051/0004-6361/201323318
Marcus, P.S., Pei, S., Jiang, C.H., Barranco, J.A., Hassanzadeh, P., Lecoanet, D.: Zombie vortex instability. I. A purely hydrodynamic instability to resurrect the dead zones of protoplanetary disks. ApJ 808, 87 (2015). https://doi.org/10.1088/0004-637X/808/1/87
Marcus, P.S., Pei, S., Jiang, C.H., Hassanzadeh, P.: Three-dimensional vortices generated by self-replication in stably stratified rotating shear flows. Phys. Rev. Lett. 111(8), 084501 (2013). https://doi.org/10.1103/PhysRevLett.111.084501
Marley, M.S., Fortney, J.J., Hubickyj, O., Bodenheimer, P., Lissauer, J.J.: On the luminosity of young Jupiters. ApJ 655, 541–549 (2007). https://doi.org/10.1086/509759
Marois, C., Macintosh, B., Barman, T., Zuckerman, B., Song, I., Patience, J., Lafrenière, D., Doyon, R.: Direct imaging of multiple planets orbiting the star HR 8799. Science 322, 1348 (2008). https://doi.org/10.1126/science.1166585
Marois, C., Zuckerman, B., Konopacky, Q.M., Macintosh, B., Barman, T.: Images of a fourth planet orbiting HR 8799. Nature 468, 1080–1083 (2010). https://doi.org/10.1038/nature09684
Martin, R.G., Livio, M.: On the evolution of the snow line in protoplanetary discs. MNRAS 425, L6–L9 (2012). https://doi.org/10.1111/j.1745-3933.2012.01290.x
Martin, R.G., Lubow, S.H.: The gravo-magneto limit cycle in accretion disks. ApJ 740, L6 (2011). https://doi.org/10.1088/2041-8205/740/1/L6
Martin, R.G., Lubow, S.H.: Tidal truncation of circumplanetary discs. MNRAS 413, 1447–1461 (2011). https://doi.org/10.1111/j.1365-2966.2011.18228.x
Martin, R.G., Lubow, S.H.: The gravo-magneto disc instability with a viscous dead zone. MNRAS 437, 682–689 (2014). https://doi.org/10.1093/mnras/stt1917
Maslowe, S.A.: Critical layers in shear flows. Ann. Rev. Fluid Mech. 18, 405–432 (1986). https://doi.org/10.1146/annurev.fl.18.010186.002201
Matzner, C.D., Levin, Y.: Protostellar disks: formation, fragmentation, and the brown dwarf desert. ApJ 628, 817–831 (2005). https://doi.org/10.1086/430813
McClure, M.K., Bergin, E.A., Cleeves, L.I., van Dishoeck, E.F., Blake, G.A., Evans II, N.J., Green, J.D., Henning, T., Öberg, K.I., Pontoppidan, K.M., Salyk, C.: Mass measurements in protoplanetary disks from hydrogen deuteride. ApJ 831, 167 (2016). https://doi.org/10.3847/0004-637X/831/2/167
Meheut, H., Casse, F., Varniere, P., Tagger, M.: Rossby wave instability and three-dimensional vortices in accretion disks. A&A 516, A31 (2010). https://doi.org/10.1051/0004-6361/201014000
Meru, F., Bate, M.R.: Non-convergence of the critical cooling time-scale for fragmentation of self-gravitating discs. MNRAS 411, L1–L5 (2011). https://doi.org/10.1111/j.1745-3933.2010.00978.x
Meyer, F., Meyer-Hofmeister, E.: On the elusive cause of cataclysmic variable outbursts. A&A 104, L10 (1981)
Michael, S., Durisen, R.H., Boley, A.C.: Migration of gas giant planets in gravitationally unstable disks. ApJ 737, L42 (2011). https://doi.org/10.1088/2041-8205/737/2/L42
Min, M., Dullemond, C.P., Kama, M., Dominik, C.: The thermal structure and the location of the snow line in the protosolar nebula: axisymmetric models with full 3-D radiative transfer. Icarus 212, 416–426 (2011). https://doi.org/10.1016/j.icarus.2010.12.002
Miranda, R., Lai, D.: Tidal truncation of inclined circumstellar and circumbinary discs in young stellar binaries. MNRAS 452, 2396–2409 (2015). https://doi.org/10.1093/mnras/stv1450
Molyarova, T., Akimkin, V., Semenov, D., Henning, T., Vasyunin, A., Wiebe, D.: Gas mass tracers in protoplanetary disks: CO is still the best. Ar**v e-prints (2017)
Momose, M., Morita, A., Fukagawa, M., Muto, T., Takeuchi, T., Hashimoto, J., Honda, M., Kudo, T., Okamoto, Y.K., Kanagawa, K.D., Tanaka, H., Grady, C.A., Sitko, M.L., Akiyama, E., Currie, T., Follette, K.B., Mayama, S., Kusakabe, N., Abe, L., Brandner, W., Brandt, T.D., Carson, J.C., Egner, S., Feldt, M., Goto, M., Guyon, O., Hayano, Y., Hayashi, M., Hayashi, S.S., Henning, T., Hodapp, K.W., Ishii, M., Iye, M., Janson, M., Kandori, R., Knapp, G.R., Kuzuhara, M., Kwon, J., Matsuo, T., McElwain, M.W., Miyama, S., Morino, J.I., Moro-Martin, A., Nishimura, T., Pyo, T.S., Serabyn, E., Suenaga, T., Suto, H., Suzuki, R., Takahashi, Y.H., Takami, M., Takato, N., Terada, H., Thalmann, C., Tomono, D., Turner, E.L., Watanabe, M., Wisniewski, J., Yamada, T., Takami, H., Usuda, T., Tamura, M.: Detailed structure of the outer disk around HD 169142 with polarized light in H-band. PASJ 67, 83 (2015). https://doi.org/10.1093/pasj/psv051
Morbidelli, A., Chambers, J., Lunine, J.I., Petit, J.M., Robert, F., Valsecchi, G.B., Cyr, K.E.: Source regions and time scales for the delivery of water to Earth. Meteor. Planet. Sci. 35, 1309–1320 (2000). https://doi.org/10.1111/j.1945-5100.2000.tb01518.x
Morfill, G.E.: Some cosmochemical consequences of a turbulent protoplanetary cloud. Icarus 53, 41–54 (1983). https://doi.org/10.1016/0019-1035(83)90019-2
Muranushi, T., Okuzumi, S., Inutsuka, S.I.: Interdependence of electric discharge and magnetorotational instability in protoplanetary disks. ApJ 760, 56 (2012). https://doi.org/10.1088/0004-637X/760/1/56
Muzerolle, J., Hillenbrand, L., Calvet, N., Briceño, C., Hartmann, L.: Accretion in young stellar/substellar objects. ApJ 592, 266–281 (2003). https://doi.org/10.1086/375704
Nakagawa, Y., Sekiya, M., Hayashi, C.: Settling and growth of dust particles in a laminar phase of a low-mass solar nebula. Icarus 67, 375–390 (1986). https://doi.org/10.1016/0019-1035(86)90121-1
Nayakshin, S., Lodato, G.: Fu Ori outbursts and the planet-disc mass exchange. MNRAS 426, 70–90 (2012). https://doi.org/10.1111/j.1365-2966.2012.21612.x
Nelson, R.P., Gressel, O., Umurhan, O.M.: Linear and non-linear evolution of the vertical shear instability in accretion discs. MNRAS 435, 2610–2632 (2013). https://doi.org/10.1093/mnras/stt1475
Nesvorný, D., Youdin, A.N., Richardson, D.C.: Formation of Kuiper belt binaries by gravitational collapse. AJ 140, 785–793 (2010). https://doi.org/10.1088/0004-6256/140/3/785
Nixon, C., King, A.: Warp propagation in astrophysical discs. In: Haardt, F., Gorini, V., Moschella, U., Treves, Colpi, A.M. (eds.) Lecture Notes in Physics, vol. 905, p. 45. Springer, Berlin. (2016). https://doi.org/10.1007/978-3-319-19416-52
Nixon, C.J., Pringle, J.E.: The observable effects of tidally induced warps in protostellar discs. MNRAS 403, 1887–1893 (2010). https://doi.org/10.1111/j.1365-2966.2010.16331.x
O’dell, C.R., Wen, Z., Hu, X.: Discovery of new objects in the Orion nebula on HST images—shocks, compact sources, and protoplanetary disks. ApJ 410, 696–700 (1993). https://doi.org/10.1086/172786
Ogilvie, G.I.: The non-linear fluid dynamics of a warped accretion disc. MNRAS 304, 557–578 (1999). https://doi.org/10.1046/j.1365-8711.1999.02340.x
Ogilvie, G.I.: Non-linear fluid dynamics of eccentric discs. MNRAS 325, 231–248 (2001). https://doi.org/10.1046/j.1365-8711.2001.04416.x
Ogilvie, G.I., Latter, H.N.: Local and global dynamics of warped astrophysical discs. MNRAS 433, 2403–2419 (2013). https://doi.org/10.1093/mnras/stt916
Ogilvie, G.I., Livio, M.: Launching of jets and the vertical structure of accretion disks. ApJ 553, 158–173 (2001). https://doi.org/10.1086/320637
Ogilvie, G.I., Pringle, J.E.: The non-axisymmetric instability of a cylindrical shear flow containing an azimuthal magnetic field. MNRAS 279, 152–164 (1996)
Olofsson, J., Augereau, J.C., van Dishoeck, E.F., Merín, B., Grosso, N., Ménard, F., Blake, G.A., Monin, J.L.: C2D Spitzer-IRS spectra of disks around T Tauri stars. V. Spectral decomposition. A&A 520, A39 (2010). https://doi.org/10.1051/0004-6361/200913909
Oppenheimer, M., Dalgarno, A.: The fractional ionization in dense interstellar clouds. ApJ 192, 29–32 (1974). https://doi.org/10.1086/153030
Ormel, C.W., Cuzzi, J.N.: Closed-form expressions for particle relative velocities induced by turbulence. A&A 466, 413–420 (2007). https://doi.org/10.1051/0004-6361:20066899
Owen, J.E., Armitage, P.J.: Importance of thermal diffusion in the gravomagnetic limit cycle. MNRAS 445, 2800–2809 (2014). https://doi.org/10.1093/mnras/stu1928
Owen, J.E., Clarke, C.J., Ercolano, B.: On the theory of disc photoevaporation. MNRAS 422, 1880–1901 (2012). https://doi.org/10.1111/j.1365-2966.2011.20337.x
Owen, J.E., Ercolano, B., Clarke, C.J., Alexander, R.D.: Radiation-hydrodynamic models of X-ray and EUV photoevaporating protoplanetary discs. MNRAS 401, 1415–1428 (2010). https://doi.org/10.1111/j.1365-2966.2009.15771.x
Owen, J.E., Hudoba de Badyn, M., Clarke, C.J., Robins, L.: Characterizing thermal swee**: a rapid disc dispersal mechanism. MNRAS 436, 1430–1438 (2013). https://doi.org/10.1093/mnras/stt1663
Paardekooper, S.J.: Numerical convergence in self-gravitating shearing sheet simulations and the stochastic nature of disc fragmentation. MNRAS 421, 3286–3299 (2012). https://doi.org/10.1111/j.1365-2966.2012.20553.x
Paardekooper, S.J., Mellema, G.: Planets opening dust gaps in gas disks. A&A 425, L9–L12 (2004). https://doi.org/10.1051/0004-6361:200400053
Paczynski, B.: A model of accretion disks in close binaries. ApJ 216, 822–826 (1977). https://doi.org/10.1086/155526
Paczynski, B.: A model of selfgravitating accretion disk. Acta Astron. 28, 91–109 (1978)
Papaloizou, J., Pringle, J.E.: Tidal torques on accretion discs in close binary systems. MNRAS 181, 441–454 (1977)
Papaloizou, J.C.B., Pringle, J.E.: The time-dependence of non-planar accretion discs. MNRAS 202, 1181–1194 (1983)
Papaloizou, J.C.B., Pringle, J.E.: The dynamical stability of differentially rotating discs with constant specific angular momentum. MNRAS 208, 721–750 (1984)
Pascucci, I., Ricci, L., Gorti, U., Hollenbach, D., Hendler, N.P., Brooks, K.J., Contreras, Y.: Low extreme-ultraviolet luminosities im**ing on protoplanetary disks. ApJ 795, 1 (2014). https://doi.org/10.1088/0004-637X/795/1/1
Pérez, L.M., Carpenter, J.M., Andrews, S.M., Ricci, L., Isella, A., Linz, H., Sargent, A.I., Wilner, D.J., Henning, T., Deller, A.T., Chandler, C.J., Dullemond, C.P., Lazio, J., Menten, K.M., Corder, S.A., Storm, S., Testi, L., Tazzari, M., Kwon, W., Calvet, N., Greaves, J.S., Harris, R.J., Mundy, L.G.: Spiral density waves in a young protoplanetary disk. Science 353, 1519–1521 (2016). https://doi.org/10.1126/science.aaf8296
Perez-Becker, D., Chiang, E.: Surface layer accretion in conventional and transitional disks driven by far-ultraviolet ionization. ApJ 735, 8 (2011). https://doi.org/10.1088/0004-637X/735/1/8
Pessah, M.E., Psaltis, D.: The stability of magnetized rotating plasmas with superthermal fields. ApJ 628, 879–901 (2005). https://doi.org/10.1086/430940
Petersen, M.R., Julien, K., Stewart, G.R.: Baroclinic vorticity production in protoplanetary disks. I. Vortex formation. ApJ 658, 1236–1251 (2007). https://doi.org/10.1086/511513
Petersen, M.R., Stewart, G.R., Julien, K.: Baroclinic vorticity production in protoplanetary disks. II. Vortex growth and longevity. ApJ 658, 1252–1263 (2007). https://doi.org/10.1086/511523
Pfalzner, S.: Encounter-driven accretion in young stellar cluster—a connection to FUors? A&A 492, 735–741 (2008). https://doi.org/10.1051/0004-6361:200810879
Pinilla, P., Birnstiel, T., Ricci, L., Dullemond, C.P., Uribe, A.L., Testi, L., Natta, A.: Trap** dust particles in the outer regions of protoplanetary disks. A&A 538, A114 (2012). https://doi.org/10.1051/0004-6361/201118204
Podio, L., Kamp, I., Codella, C., Cabrit, S., Nisini, B., Dougados, C., Sandell, G., Williams, J.P., Testi, L., Thi, W.F., Woitke, P., Meijerink, R., Spaans, M., Aresu, G., Ménard, F., Pinte, C.: Water vapor in the protoplanetary disk of DG Tau. ApJ 766, L5 (2013). https://doi.org/10.1088/2041-8205/766/1/L5
Popham, R., Narayan, R., Hartmann, L., Kenyon, S.: Boundary layers in pre-main-sequence accretion disks. ApJ 415, L127 (1993). https://doi.org/10.1086/187049
Preibisch, T., Kim, Y.C., Favata, F., Feigelson, E.D., Flaccomio, E., Getman, K., Micela, G., Sciortino, S., Stassun, K., Stelzer, B., Zinnecker, H.: The origin of T Tauri X-ray emission: new insights from the Chandra Orion Ultradeep Project. ApJs 160, 401–422 (2005). https://doi.org/10.1086/432891
Pringle, J.E.: Soft X-ray emission from dwarf novae. MNRAS 178, 195–202 (1977)
Pringle, J.E.: Accretion discs in astrophysics. ARA&A 19, 137–162 (1981). https://doi.org/10.1146/annurev.aa.19.090181.001033
Pringle, J.E.: The properties of external accretion discs. MNRAS 248, 754–759 (1991)
Pringle, J.E.: A simple approach to the evolution of twisted accretion discs. MNRAS 258, 811–818 (1992)
Pringle, J.E., King, A.: Astrophysical Flows (2007)
Qi, C., Öberg, K.I., Wilner, D.J., D’Alessio, P., Bergin, E., Andrews, S.M., Blake, G.A., Hogerheijde, M.R., van Dishoeck, E.F.: Imaging of the CO snow line in a solar nebula analog. Science 341, 630–632 (2013). https://doi.org/10.1126/science.1239560
Raettig, N., Klahr, H., Lyra, W.: Particle trap** and streaming instability in vortices in protoplanetary disks. ApJ 804, 35 (2015). https://doi.org/10.1088/0004-637X/804/1/35
Raettig, N., Lyra, W., Klahr, H.: A parameter study for baroclinic vortex amplification. ApJ 765, 115 (2013). https://doi.org/10.1088/0004-637X/765/2/115
Rafikov, R.R.: Properties of gravitoturbulent accretion disks. ApJ 704, 281–291 (2009). https://doi.org/10.1088/0004-637X/704/1/281
Rafikov, R.R.: Viscosity prescription for gravitationally unstable accretion disks. ApJ 804, 62 (2015). https://doi.org/10.1088/0004-637X/804/1/62
Railton, A.D., Papaloizou, J.C.B.: On the local stability of vortices in differentially rotating discs. MNRAS 445, 4409–4426 (2014). https://doi.org/10.1093/mnras/stu2060
Rebusco, P., Umurhan, O.M., Kluźniak, W., Regev, O.: Global transient dynamics of three-dimensional hydrodynamical disturbances in a thin viscous accretion disk. Phys. Fluids 21(7), 076,601 (2009). https://doi.org/10.1063/1.3167411
Reipurth, B., Clarke, C.J., Boss, A.P., Goodwin, S.P., Rodríguez, L.F., Stassun, K.G., Tokovinin, A., Zinnecker, H.: Multiplicity in Early Stellar Evolution. Protostars and Planets VI, pp. 267–290 (2014)
Ricci, L., Testi, L., Natta, A., Neri, R., Cabrit, S., Herczeg, G.J.: Dust properties of protoplanetary disks in the Taurus-Auriga star forming region from millimeter wavelengths. A&A 512, A15 (2010). https://doi.org/10.1051/0004-6361/200913403
Rice, W.K.M., Armitage, P.J., Bate, M.R., Bonnell, I.A.: The effect of cooling on the global stability of self-gravitating protoplanetary discs. MNRAS 339, 1025–1030 (2003). https://doi.org/10.1046/j.1365-8711.2003.06253.x
Rice, W.K.M., Armitage, P.J., Mamatsashvili, G.R., Lodato, G., Clarke, C.J.: Stability of self-gravitating discs under irradiation. MNRAS 418, 1356–1362 (2011). https://doi.org/10.1111/j.1365-2966.2011.19586.x
Rice, W.K.M., Armitage, P.J., Wood, K., Lodato, G.: Dust filtration at gap edges: implications for the spectral energy distributions of discs with embedded planets. MNRAS 373, 1619–1626 (2006). https://doi.org/10.1111/j.1365-2966.2006.11113.x
Rice, W.K.M., Lodato, G., Armitage, P.J.: Investigating fragmentation conditions in self-gravitating accretion discs. MNRAS 364, L56–L60 (2005). https://doi.org/10.1111/j.1745-3933.2005.00105.x
Rice, W.K.M., Lodato, G., Pringle, J.E., Armitage, P.J., Bonnell, I.A.: Accelerated planetesimal growth in self-gravitating protoplanetary discs. MNRAS 355, 543–552 (2004). https://doi.org/10.1111/j.1365-2966.2004.08339.x
Richling, S., Yorke, H.W.: Photoevaporation of protostellar disks. II. The importance of UV dust properties and ionizing flux. A&A 327, 317–324 (1997)
Rigliaco, E., Natta, A., Testi, L., Randich, S., Alcalà, J.M., Covino, E., Stelzer, B.: X-shooter spectroscopy of young stellar objects. I. Mass accretion rates of low-mass T Tauri stars in \(\sigma \) Orionis. A&A 548, A56 (2012). https://doi.org/10.1051/0004-6361/201219832
Robitaille, T.P.: HYPERION: an open-source parallelized three-dimensional dust continuum radiative transfer code. A&A 536, A79 (2011). https://doi.org/10.1051/0004-6361/201117150
Rodmann, J., Henning, T., Chandler, C.J., Mundy, L.G., Wilner, D.J.: Large dust particles in disks around T Tauri stars. A&A 446, 211–221 (2006). https://doi.org/10.1051/0004-6361:20054038
Romanova, M.M., Ustyugova, G.V., Koldoba, A.V., Lovelace, R.V.E.: MRI-driven accretion on to magnetized stars: global 3D MHD simulations of magnetospheric and boundary layer regimes. MNRAS 421, 63–77 (2012). https://doi.org/10.1111/j.1365-2966.2011.20055.x
Ros, K., Johansen, A.: Ice condensation as a planet formation mechanism. A&A 552, A137 (2013). https://doi.org/10.1051/0004-6361/201220536
Rosenfeld, K.A., Andrews, S.M., Hughes, A.M., Wilner, D.J., Qi, C.: A spatially resolved vertical temperature gradient in the HD 163296 disk. ApJ 774, 16 (2013). https://doi.org/10.1088/0004-637X/774/1/16
Ruden, S.P.: Evolution of photoevaporating protoplanetary disks. ApJ 605, 880–891 (2004). https://doi.org/10.1086/382524
Rybicki, G.B., Lightman, A.P.: Radiative processes in astrophysics (1979)
Salinas, V.N., Hogerheijde, M.R., Bergin, E.A., Cleeves, L.I., Brinch, C., Blake, G.A., Lis, D.C., Melnick, G.J., Panić, O., Pearson, J.C., Kristensen, L., Yıldız, U.A., van Dishoeck, E.F.: First detection of gas-phase ammonia in a planet-forming disk. NH\(_{3}\), N\(_{2}\)H\(^{+}\), and H\(_{2}\)O in the disk around TW Hydrae. A&A 591, A122 (2016). https://doi.org/10.1051/0004-6361/201628172
Sano, T., Inutsuka, S.I.: Saturation and thermalization of the magnetorotational instability: recurrent channel flows and reconnections. ApJ 561, L179–L182 (2001). https://doi.org/10.1086/324763
Sano, T., Stone, J.M.: The effect of the Hall term on the nonlinear evolution of the magnetorotational instability. I. Local axisymmetric simulations. ApJ 570, 314–328 (2002). https://doi.org/10.1086/339504
Sano, T., Stone, J.M.: The effect of the Hall term on the nonlinear evolution of the magnetorotational instability. II. Saturation level and critical magnetic Reynolds number. ApJ 577, 534–553 (2002). https://doi.org/10.1086/342172
Schäfer, U., Yang, C.C., Johansen, A.: Initial mass function of planetesimals formed by the streaming instability. A&A 597, A69 (2017). https://doi.org/10.1051/0004-6361/201629561
Shakura, N.I., Sunyaev, R.A.: Black holes in binary systems. Observational appearance. A&A 24, 337–355 (1973)
Shen, Y., Stone, J.M., Gardiner, T.A.: Three-dimensional compressible hydrodynamic simulations of vortices in disks. ApJ 653, 513–524 (2006). https://doi.org/10.1086/508980
Shu, F., Najita, J., Ostriker, E., Wilkin, F., Ruden, S., Lizano, S.: Magnetocentrifugally driven flows from young stars and disks. 1: A generalized model. ApJ 429, 781–796 (1994). https://doi.org/10.1086/174363
Simon, J.B., Armitage, P.J.: Efficiency of particle trap** in the outer regions of protoplanetary disks. ApJ 784, 15 (2014). https://doi.org/10.1088/0004-637X/784/1/15
Simon, J.B., Armitage, P.J., Li, R., Youdin, A.N.: The mass and size distribution of planetesimals formed by the streaming instability. I. The role of self-gravity. ApJ 822, 55 (2016). https://doi.org/10.3847/0004-637X/822/1/55
Simon, J.B., Armitage, P.J., Youdin, A.N., Li, R.: Evidence for universality in the initial planetesimal mass function. ApJ 847, L12 (2017). https://doi.org/10.3847/2041-8213/aa8c79
Simon, J.B., Bai, X.N., Armitage, P.J., Stone, J.M., Beckwith, K.: Turbulence in the outer regions of protoplanetary disks. II. Strong accretion driven by a vertical magnetic field. ApJ 775, 73 (2013). https://doi.org/10.1088/0004-637X/775/1/73
Simon, J.B., Bai, X.N., Stone, J.M., Armitage, P.J., Beckwith, K.: Turbulence in the outer regions of protoplanetary disks. I. Weak accretion with no vertical magnetic flux. ApJ 764, 66 (2013). https://doi.org/10.1088/0004-637X/764/1/66
Simon, J.B., Beckwith, K., Armitage, P.J.: Emergent mesoscale phenomena in magnetized accretion disc turbulence. MNRAS 422, 2685–2700 (2012). https://doi.org/10.1111/j.1365-2966.2012.20835.x
Simon, J.B., Hawley, J.F.: Viscous and resistive effects on the magnetorotational instability with a net toroidal field. ApJ 707, 833–843 (2009). https://doi.org/10.1088/0004-637X/707/1/833
Simon, J.B., Hughes, A.M., Flaherty, K.M., Bai, X.N., Armitage, P.J.: Signatures of MRI-driven turbulence in protoplanetary disks: predictions for ALMA observations. ApJ 808, 180 (2015). https://doi.org/10.1088/0004-637X/808/2/180
Simon, J.B., Lesur, G., Kunz, M.W., Armitage, P.J.: Magnetically driven accretion in protoplanetary discs. MNRAS 454, 1117–1131 (2015). https://doi.org/10.1093/mnras/stv2070
Smak, J.: Eruptive binaries. XI—Disk-radius variations in U GEM. Acta Astron. 34, 93–96 (1984)
Soderblom, D.R., Hillenbrand, L.A., Jeffries, R.D., Mamajek, E.E., Naylor, T.: Ages of Young Stars. Protostars and Planets VI, pp. 219–241 (2014)
Spruit, H.C.: Magnetohydrodynamic jets and winds from accretion disks. In: Wijers, R.A.M.J., Davies, M.B., Tout, C.A. (eds.) NATO Advanced Science Institutes (ASI) Series C, vol. 477, pp. 249–286 (1996)
Steiman-Cameron, T.Y., Durisen, R.H., Boley, A.C., Michael, S., McConnell, C.R.: Convergence studies of mass transport in disks with gravitational instabilities. II. The radiative cooling case. ApJ 768, 192 (2013). https://doi.org/10.1088/0004-637X/768/2/192
Steinacker, J., Baes, M., Gordon, K.D.: Three-dimensional dust radiative transfer*. ARA&A 51, 63–104 (2013). https://doi.org/10.1146/annurev-astro-082812-141042
Stepinski, T.F.: Generation of dynamo magnetic fields in the primordial solar nebula. Icarus 97, 130–141 (1992). https://doi.org/10.1016/0019-1035(92)90062-C
Stevenson, D.J., Lunine, J.I.: Rapid formation of Jupiter by diffuse redistribution of water vapor in the solar nebula. Icarus 75, 146–155 (1988). https://doi.org/10.1016/0019-1035(88)90133-9
Stoll, M.H.R., Kley, W.: Vertical shear instability in accretion disc models with radiation transport. A&A 572, A77 (2014). https://doi.org/10.1051/0004-6361/201424114
Strom, K.M., Strom, S.E., Edwards, S., Cabrit, S., Skrutskie, M.F.: Circumstellar material associated with solar-type pre-main-sequence stars—a possible constraint on the timescale for planet building. AJ 97, 1451–1470 (1989). https://doi.org/10.1086/115085
Supulver, K.D., Lin, D.N.C.: Formation of Icy planetesimals in a turbulent solar nebula. Icarus 146, 525–540 (2000). https://doi.org/10.1006/icar.2000.6418
Suzuki, T.K., Inutsuka, S.I.: disk winds driven by magnetorotational instability and dispersal of protoplanetary disks. ApJ 691, L49–L54 (2009). https://doi.org/10.1088/0004-637X/691/1/L49
Suzuki, T.K., Muto, T., Inutsuka, S.I.: Protoplanetary disk winds via magnetorotational instability: formation of an inner hole and a crucial assist for planet formation. ApJ 718, 1289–1304 (2010). https://doi.org/10.1088/0004-637X/718/2/1289
Suzuki, T.K., Ogihara, M., Morbidelli, A., Crida, A., Guillot, T.: Evolution of protoplanetary discs with magnetically driven disc winds. A&A 596, A74 (2016). https://doi.org/10.1051/0004-6361/201628955
Takeuchi, T., Lin, D.N.C.: Radial flow of dust particles in accretion disks. ApJ 581, 1344–1355 (2002). https://doi.org/10.1086/344437
Takeuchi, T., Okuzumi, S.: Radial transport of large-scale magnetic fields in accretion disks. II. Relaxation to steady states. ApJ 797, 132 (2014). https://doi.org/10.1088/0004-637X/797/2/132
Tanaka, K.E.I., Nakamoto, T., Omukai, K.: Photoevaporation of circumstellar disks revisited: the dust-free case. ApJ 773, 155 (2013). https://doi.org/10.1088/0004-637X/773/2/155
Tanga, P., Babiano, A., Dubrulle, B., Provenzale, A.: Forming planetesimals in vortices. Icarus 121, 158–170 (1996). https://doi.org/10.1006/icar.1996.0076
Tazzari, M., Testi, L., Ercolano, B., Natta, A., Isella, A., Chandler, C.J., Pérez, L.M., Andrews, S., Wilner, D.J., Ricci, L., Henning, T., Linz, H., Kwon, W., Corder, S.A., Dullemond, C.P., Carpenter, J.M., Sargent, A.I., Mundy, L., Storm, S., Calvet, N., Greaves, J.A., Lazio, J., Deller, A.T.: Multiwavelength analysis for interferometric (sub-)mm observations of protoplanetary disks. Radial constraints on the dust properties and the disk structure. A&A 588, A53 (2016). https://doi.org/10.1051/0004-6361/201527423
Teague, R., Guilloteau, S., Semenov, D., Henning, T., Dutrey, A., Piétu, V., Birnstiel, T., Chapillon, E., Hollenbach, D., Gorti, U.: Measuring turbulence in TW Hydrae with ALMA: methods and limitations. A&A 592, A49 (2016). https://doi.org/10.1051/0004-6361/201628550
Terquem, C., Papaloizou, J.C.B.: On the stability of an accretion disc containing a toroidal magnetic field. MNRAS 279, 767–784 (1996)
Throop, H.B., Bally, J.: Can photoevaporation trigger planetesimal formation? ApJ 623, L149–L152 (2005). https://doi.org/10.1086/430272
Throop, H.B., Bally, J.: Tail-end Bondi-Hoyle accretion in young star clusters: implications for disks, planets, and stars. AJ 135, 2380–2397 (2008). https://doi.org/10.1088/0004-6256/135/6/2380
Tobin, J.J., Kratter, K.M., Persson, M.V., Looney, L.W., Dunham, M.M., Segura-Cox, D., Li, Z.Y., Chandler, C.J., Sadavoy, S.I., Harris, R.J., Melis, C., Pérez, L.M.: A triple protostar system formed via fragmentation of a gravitationally unstable disk. Nature 538, 483–486 (2016). https://doi.org/10.1038/nature20094
Toomre, A.: On the gravitational stability of a disk of stars. ApJ 139, 1217–1238 (1964). https://doi.org/10.1086/147861
Torres, R.M., Loinard, L., Mioduszewski, A.J., Boden, A.F., Franco-Hernández, R., Vlemmings, W.H.T., Rodríguez, L.F.: VLBA determination of the distance to nearby star-forming regions. V. Dynamical mass, distance, and radio structure of V773 Tau A. ApJ 747, 18 (2012). https://doi.org/10.1088/0004-637X/747/1/18
Tout, C.A., Pringle, J.E.: Accretion disc viscosity—a simple model for a magnetic dynamo. MNRAS 259, 604–612 (1992)
Trapman, L., Miotello, A., Kama, M., van Dishoeck, E.F., Bruderer, S.: Far-infrared HD emission as a measure of protoplanetary disk mass. A&A 605, A69 (2017). https://doi.org/10.1051/0004-6361/201630308
Tsukamoto, Y., Iwasaki, K., Okuzumi, S., Machida, M.N., Inutsuka, S.: Bimodality of circumstellar disk evolution induced by Hall current. Ar**v e-prints (2015)
Tsukamoto, Y., Takahashi, S.Z., Machida, M.N., Inutsuka, S.: Effects of radiative transfer on the structure of self-gravitating discs, their fragmentation and the evolution of the fragments. MNRAS 446, 1175–1190 (2015). https://doi.org/10.1093/mnras/stu2160
Turner, N.J., Benisty, M., Dullemond, C.P., Hirose, S.: Herbig stars’ near-infrared excess: an origin in the protostellar disk’s magnetically supported atmosphere. ApJ 780, 42 (2014). https://doi.org/10.1088/0004-637X/780/1/42
Turner, N.J., Drake, J.F.: Energetic protons, radionuclides, and magnetic activity in protostellar disks. ApJ 703, 2152–2159 (2009). https://doi.org/10.1088/0004-637X/703/2/2152
Turner, N.J., Sano, T.: Dead zone accretion flows in protostellar disks. ApJ 679, L131–L134 (2008). https://doi.org/10.1086/589540
Turner, N.J., Sano, T., Dziourkevitch, N.: Turbulent mixing and the dead zone in protostellar disks. ApJ 659, 729–737 (2007). https://doi.org/10.1086/512007
Umebayashi, T., Nakano, T.: Effects of radionuclides on the ionization state of protoplanetary disks and dense cloud cores. ApJ 690, 69–81 (2009). https://doi.org/10.1088/0004-637X/690/1/69
Umurhan, O.M.: Potential vorticity dynamics in the framework of disk shallow-water theory. I. The Rossby wave instability. A&A 521, A25 (2010). https://doi.org/10.1051/0004-6361/201015210
Urpin, V., Brandenburg, A.: Magnetic and vertical shear instabilities in accretion discs. MNRAS 294, 399 (1998). https://doi.org/10.1046/j.1365-8711.1998.01118.x
Uyama, T., Hashimoto, J., Kuzuhara, M., Mayama, S., Akiyama, E., Currie, T., Livingston, J., Kudo, T., Kusakabe, N., Abe, L., Brandner, W., Brandt, T.D., Carson, J.C., Egner, S., Feldt, M., Goto, M., Grady, C.A., Guyon, O., Hayano, Y., Hayashi, M., Hayashi, S.S., Henning, T., Hodapp, K.W., Ishii, M., Iye, M., Janson, M., Kandori, R., Knapp, G.R., Kwon, J., Matsuo, T., Mcelwain, M.W., Miyama, S., Morino, J.I., Moro-Martin, A., Nishimura, T., Pyo, T.S., Serabyn, E., Suenaga, T., Suto, H., Suzuki, R., Takahashi, Y.H., Takami, M., Takato, N., Terada, H., Thalmann, C., Turner, E.L., Watanabe, M., Wisniewski, J., Yamada, T., Takami, H., Usuda, T., Tamura, M.: The SEEDS high-contrast imaging survey of exoplanets around young stellar objects. AJ 153, 106 (2017). https://doi.org/10.3847/1538-3881/153/3/106
van Boekel, R., Henning, T., Menu, J., de Boer, J., Langlois, M., Müller, A., Avenhaus, H., Boccaletti, A., Schmid, H.M., Thalmann, C., Benisty, M., Dominik, C., Ginski, C., Girard, J.H., Gisler, D., Lobo Gomes, A., Menard, F., Min, M., Pavlov, A., Pohl, A., Quanz, S.P., Rabou, P., Roelfsema, R., Sauvage, J.F., Teague, R., Wildi, F., Zurlo, A.: Three radial gaps in the disk of TW Hydrae imaged with SPHERE. ApJ 837, 132 (2017). https://doi.org/10.3847/1538-4357/aa5d68
van der Marel, N., van Dishoeck, E.F., Bruderer, S., Birnstiel, T., Pinilla, P., Dullemond, C.P., van Kempen, T.A., Schmalzl, M., Brown, J.M., Herczeg, G.J., Mathews, G.S., Geers, V.: A major asymmetric dust trap in a transition disk. Science 340, 1199–1202 (2013). https://doi.org/10.1126/science.1236770
Varnière, P., Tagger, M.: Reviving dead zones in accretion disks by Rossby vortices at their boundaries. A&A 446, L13–L16 (2006). https://doi.org/10.1051/0004-6361:200500226
Velikhov, E.: Stability of an ideally conducting liquid flowing between rotating cylinders in a magnetic field. Zhur. Eksptl?. i Teoret. Fiz. 36 (1959)
Vorobyov, E.I., Basu, S.: The origin of episodic accretion bursts in the early stages of star formation. ApJ 633, L137–L140 (2005). https://doi.org/10.1086/498303
Wang, L., Goodman, J.: Hydrodynamic photoevaporation of protoplanetary disks with consistent thermochemistry. ApJ 847, 11 (2017). https://doi.org/10.3847/1538-4357/aa8726
Ward, W.R.: Particle filtering by a planetary gap. In: Lunar and Planetary Science Conference. Lunar and Planetary Inst. Technical Report, vol. 40, p. 1477 (2009)
Wardle, M.: The Balbus-Hawley instability in weakly ionized discs. MNRAS 307, 849–856 (1999). https://doi.org/10.1046/j.1365-8711.1999.02670.x
Waters, T.R., Proga, D.: Parker winds revisited: an extension to disc winds. MNRAS 426, 2239–2265 (2012). https://doi.org/10.1111/j.1365-2966.2012.21823.x
Weidenschilling, S.J.: Aerodynamics of solid bodies in the solar nebula. MNRAS 180, 57–70 (1977)
Weidenschilling, S.J.: The distribution of mass in the planetary system and solar nebula. Ap&SS 51, 153–158 (1977). https://doi.org/10.1007/BF00642464
Weingartner, J.C., Draine, B.T.: Photoelectric emission from interstellar dust: grain charging and gas heating. ApJs 134, 263–281 (2001). https://doi.org/10.1086/320852
Whipple, F.L.: On certain aerodynamic processes for asteroids and comets. In: Elvius, A. (ed.) From Plasma to Planet, p. 211 (1972)
Williams, J.P., Best, W.M.J.: A parametric modeling approach to measuring the gas masses of circumstellar disks. ApJ 788, 59 (2014). https://doi.org/10.1088/0004-637X/788/1/59
Williams, J.P., Cieza, L.A.: Protoplanetary disks and their evolution. ARA&A 49, 67–117 (2011). https://doi.org/10.1146/annurev-astro-081710-102548
Yang, C.C., Johansen, A.: On the feeding zone of planetesimal formation by the streaming instability. ApJ 792, 86 (2014). https://doi.org/10.1088/0004-637X/792/2/86
Yang, C.C., Johansen, A., Carrera, D.: Concentrating small particles in protoplanetary disks through the streaming instability. A&A 606, A80 (2017). https://doi.org/10.1051/0004-6361/201630106
Youdin, A.N., Chiang, E.I.: Particle pileups and planetesimal formation. ApJ 601, 1109–1119 (2004). https://doi.org/10.1086/379368
Youdin, A.N., Goodman, J.: Streaming instabilities in protoplanetary disks. ApJ 620, 459–469 (2005). https://doi.org/10.1086/426895
Youdin, A.N., Lithwick, Y.: Particle stirring in turbulent gas disks: including orbital oscillations. Icarus 192, 588–604 (2007). https://doi.org/10.1016/j.icarus.2007.07.012
Youdin, A.N., Shu, F.H.: Planetesimal formation by gravitational instability. ApJ 580, 494–505 (2002). https://doi.org/10.1086/343109
Zhang, K., Blake, G.A., Bergin, E.A.: Evidence of fast pebble growth near condensation fronts in the HL Tau protoplanetary disk. ApJ 806, L7 (2015). https://doi.org/10.1088/2041-8205/806/1/L7
Zhu, Z., Hartmann, L., Calvet, N., Hernandez, J., Muzerolle, J., Tannirkulam, A.K.: The hot inner disk of FU Orionis. ApJ 669, 483–492 (2007). https://doi.org/10.1086/521345
Zhu, Z., Hartmann, L., Gammie, C.: Long-term evolution of protostellar and protoplanetary disks. II. Layered accretion with infall. ApJ 713, 1143–1158 (2010). https://doi.org/10.1088/0004-637X/713/2/1143
Zhu, Z., Hartmann, L., Gammie, C., McKinney, J.C.: Two-dimensional simulations of FU Orionis disk outbursts. ApJ 701, 620–634 (2009). https://doi.org/10.1088/0004-637X/701/1/620
Zhu, Z., Hartmann, L., Gammie, C.F., Book, L.G., Simon, J.B., Engelhard, E.: Long-term evolution of protostellar and protoplanetary disks. I. Outbursts. ApJ 713, 1134–1142 (2010). https://doi.org/10.1088/0004-637X/713/2/1134
Zhu, Z., Nelson, R.P., Dong, R., Espaillat, C., Hartmann, L.: Dust filtration by planet-induced gap edges: implications for transitional disks. ApJ 755, 6 (2012). https://doi.org/10.1088/0004-637X/755/1/6
Zhu, Z., Stone, J.M.: Dust trap** by vortices in transitional disks: evidence for non-ideal magnetohydrodynamic effects in protoplanetary disks. ApJ 795, 53 (2014). https://doi.org/10.1088/0004-637X/795/1/53
Zhu, Z., Stone, J.M., Bai, X.N.: Dust transport in MRI turbulent disks: ideal and non-ideal MHD with ambipolar diffusion. ApJ 801, 81 (2015). https://doi.org/10.1088/0004-637X/801/2/81
Zhu, Z., Stone, J.M., Rafikov, R.R., Bai, X.N.: Particle concentration at planet-induced gap edges and vortices. I. Inviscid three-dimensional hydro disks. ApJ 785, 122 (2014). https://doi.org/10.1088/0004-637X/785/2/122
Zweibel, E.G.: Ambipolar diffusion. In: Astrophysics and Space Science Library, vol. 407, 285 (2015)
Acknowledgements
My work on protoplanetary disk physics and planet formation has been supported by the National Science Foundation, by NASA under the Origins of Solar Systems, Exoplanet Research and Astrophysics Theory programs, and by the Space Telescope Science Institute. I acknowledge the hospitality of the IIB at the University of Liverpool, where much of this chapter was written, and thank Kaitlin Kratter for an informal review of the manuscript.
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Armitage, P.J. (2019). Physical Processes in Protoplanetary Disks. In: Audard, M., Meyer, M., Alibert, Y. (eds) From Protoplanetary Disks to Planet Formation. Saas-Fee Advanced Course, vol 45. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-58687-7_1
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