Abstract
We study the onset of bubble formation (cavitation) in the quark-gluon plasma as a result of the reduction of the effective pressure from bulk-viscous corrections. By calculating velocity gradients in typical models for quark-gluon plasma evolution in heavy-ion collisions, we obtain results for the critical bulk viscosity above which cavitation occurs. Since present experimental data for heavy-ion collision seems inconsistent with the presence of bubbles above the phase transition temperature of QCD, our results may be interpreted as an upper limit of the bulk viscosity in nature. Our results indicate that bubble formation is consistent with the expectation of hadronisation in low-temperature QCD.
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References
P. Romatschke, New developments in relativistic viscous hydrodynamics, Int. J. Mod. Phys. E 19 (2010) 1 [ar**v:0902.3663] [INSPIRE].
U. Heinz and R. Snellings, Collective flow and viscosity in relativistic heavy-ion collisions, Ann. Rev. Nucl. Part. Sci. 63 (2013) 123 [ar**v:1301.2826] [INSPIRE].
B. Müller, J. Schukraft and B. Wyslouch, First results from Pb+Pb collisions at the LHC, Ann. Rev. Nucl. Part. Sci. 62 (2012) 361 [ar**v:1202.3233] [INSPIRE].
T. Schäfer and D. Teaney, Nearly perfect fluidity: from cold atomic gases to hot quark gluon plasmas, Rept. Prog. Phys. 72 (2009) 126001 [ar**v:0904.3107] [INSPIRE].
C. Gale, S. Jeon, B. Schenke, P. Tribedy and R. Venugopalan, Event-by-event anisotropic flow in heavy-ion collisions from combined Yang-Mills and viscous fluid dynamics, Phys. Rev. Lett. 110 (2013) 012302 [ar**v:1209.6330] [INSPIRE].
A. Buchel, X.O. Camanho and J.D. Edelstein, Cavitation effects on the confinement/deconfinement transition, Phys. Lett. B 734 (2014) 131 [ar**v:1303.6300] [INSPIRE].
K. Rajagopal and N. Tripuraneni, Bulk viscosity and cavitation in boost-invariant hydrodynamic expansion, JHEP 03 (2010) 018 [ar**v:0908.1785] [INSPIRE].
A. Klimek, L. Leblond and A. Sinha, Cavitation in holographic sQGP, Phys. Lett. B 701 (2011) 144 [ar**v:1103.3987] [INSPIRE].
J.R. Bhatt, H. Mishra and V. Sreekanth, Cavitation and thermal photon production in relativistic heavy ion collisions, ar**v:1005.2756 [INSPIRE].
J.R. Bhatt, H. Mishra and V. Sreekanth, Shear viscosity, cavitation and hydrodynamics at LHC, Phys. Lett. B 704 (2011) 486 [ar**v:1103.4333] [INSPIRE].
J.R. Bhatt, H. Mishra and V. Sreekanth, Thermal photons in QGP and non-ideal effects, JHEP 11 (2010) 106 [ar**v:1011.1969] [INSPIRE].
H. Song and U.W. Heinz, Interplay of shear and bulk viscosity in generating flow in heavy-ion collisions, Phys. Rev. C 81 (2010) 024905 [ar**v:0909.1549] [INSPIRE].
C. Brennen, Cavitation and bubble dynamics, Oxford engineering science series, Oxford University Press, Oxford U.K. (1995).
Y. Aoki, G. Endrodi, Z. Fodor, S.D. Katz and K.K. Szabo, The order of the quantum chromodynamics transition predicted by the standard model of particle physics, Nature 443 (2006) 675 [hep-lat/0611014] [INSPIRE].
U.S. Gupta, R.K. Mohapatra, A.M. Srivastava and V.K. Tiwari, Simulation of Z(3) walls and string production via bubble nucleation in a quark-hadron transition, Phys. Rev. D 82 (2010) 074020 [ar**v:1007.5001] [INSPIRE].
P. Romatschke, Relativistic viscous fluid dynamics and non-equilibrium entropy, Class. Quant. Grav. 27 (2010) 025006 [ar**v:0906.4787] [INSPIRE].
I. Kanitscheider and K. Skenderis, Universal hydrodynamics of non-conformal branes, JHEP 04 (2009) 062 [ar**v:0901.1487] [INSPIRE].
R.S. Bhalerao, A. Jaiswal, S. Pal and V. Sreekanth, Particle production in relativistic heavy-ion collisions: A consistent hydrodynamic approach, Phys. Rev. C 88 (2013) 044911 [ar**v:1305.4146] [INSPIRE].
A. Jaiswal, R.S. Bhalerao and S. Pal, Complete relativistic second-order dissipative hydrodynamics from the entropy principle, Phys. Rev. C 87 (2013) 021901 [ar**v:1302.0666] [INSPIRE].
J.D. Bjorken, Highly relativistic nucleus-nucleus collisions: the central rapidity region, Phys. Rev. D 27 (1983) 140 [INSPIRE].
S.S. Gubser, Symmetry constraints on generalizations of Bjorken flow, Phys. Rev. D 82 (2010) 085027 [ar**v:1006.0006] [INSPIRE].
S.S. Gubser and A. Yarom, Conformal hydrodynamics in Minkowski and de Sitter spacetimes, Nucl. Phys. B 846 (2011) 469 [ar**v:1012.1314] [INSPIRE].
P. Romatschke and U. Romatschke, Viscosity information from relativistic nuclear collisions: how perfect is the fluid observed at RHIC?, Phys. Rev. Lett. 99 (2007) 172301 [ar**v:0706.1522] [INSPIRE].
R. Baier and P. Romatschke, Causal viscous hydrodynamics for central heavy-ion collisions, Eur. Phys. J. C 51 (2007) 677 [nucl-th/0610108] [INSPIRE].
M. Laine and Y. Schröder, Quark mass thresholds in QCD thermodynamics, Phys. Rev. D 73 (2006) 085009 [hep-ph/0603048] [INSPIRE].
E. Lu and G.D. Moore, The bulk viscosity of a pion gas, Phys. Rev. C 83 (2011) 044901 [ar**v:1102.0017] [INSPIRE].
A. Dobado, F.J. Llanes-Estrada and J.M. Torres-Rincon, Bulk viscosity of low-temperature strongly interacting matter, Phys. Lett. B 702 (2011) 43 [ar**v:1103.0735] [INSPIRE].
J.M. Torres-Rincon, personal communication, (2014).
P.B. Arnold, C. Dogan and G.D. Moore, The bulk viscosity of high-temperature QCD, Phys. Rev. D 74 (2006) 085021 [hep-ph/0608012] [INSPIRE].
G. Torrieri, B. Tomasik and I. Mishustin, Bulk viscosity driven clusterization of quark-gluon plasma and early freeze-out in relativistic heavy-ion collisions, Phys. Rev. C 77 (2008) 034903 [ar**v:0707.4405] [INSPIRE].
G. Torrieri and I. Mishustin, Instability of boost-invariant hydrodynamics with a QCD inspired bulk viscosity, Phys. Rev. C 78 (2008) 021901 [ar**v:0805.0442] [INSPIRE].
P. Romatschke, M. Mendoza and S. Succi, A fully relativistic lattice Boltzmann algorithm, Phys. Rev. C 84 (2011) 034903 [ar**v:1106.1093] [INSPIRE].
G.S. Denicol, S. Jeon and C. Gale, Transport coefficients of bulk viscous pressure in the 14-moment approximation, ar**v:1403.0962 [INSPIRE].
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ArXiv ePrint: 1405.1978
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Habich, M., Romatschke, P. Onset of cavitation in the quark-gluon plasma. J. High Energ. Phys. 2014, 54 (2014). https://doi.org/10.1007/JHEP12(2014)054
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DOI: https://doi.org/10.1007/JHEP12(2014)054