Abstract
In my research career in the field of quantum turbulence, I have been encouraged by Vinen. In this article, I review my works motivated by him and my joint collaborations with him. Vinen encouraged me in studies on quantum turbulence at zero temperature, Kolmogorov spectrum of a vortex tangle without mutual friction, and fully coupled dynamics of quantized vortices and normal fluid. Joint works include studies on diffusion of a vortex tangle, Kelvin wave cascade, quantum turbulence created by an oscillating object, and coupled dynamics of tracer particles and quantized vortices.
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Notes
Melotte and Barenghi performed a linear stability analysis of the normal fluid in the T-1 state and suggested that the laminar normal fluid could become unstable owing to mutual friction [25].
References
H.E. Hall, W.F. Vinen, Proc. Roy. Soc. A 238, 204 (1956)
H.E. Hall, W.F. Vinen, Proc. Roy. Soc. A 238, 215 (1956)
W.F. Vinen, Proc. Roy. Soc. A 240, 114 (1957)
W.F. Vinen, Proc. Roy. Soc. A 240, 128 (1957)
W.F. Vinen, Proc. Roy. Soc. A 242, 493 (1957)
W.F. Vinen, Proc. Roy. Soc. A 243, 400 (1957)
W.F. Vinen, Proc. Roy. Soc. A 260, 218 (1961)
S.L. Davis, P.C. Hendry, P.V.E. McClintock, Phys. B 280, 43 (2000)
W.F. Vinen, J.J. Niemela, J. Low Temp. Phys. 128, 167 (2002)
W.F. Vinen, J. Low Temp. Phys. 161, 419 (2010)
M. Tsubota, K. Fujimoto, S. Yui, J. Low Temp. Phys. 188, 119 (2017)
J. Maurer, P. Tabeling, Europhys. Lett. 43, 29 (1998)
S.R. Stalp, L. Skrbek, R.J. Donnelly, Phys. Rev. Lett. 82, 4831 (1999)
U. Frisch, Turbulence (Cambridge University Press, Cambridge, 1995)
P.A. Davidson, Turbulence: An Introduction for Scientists and Engineers, 2nd edn. (Oxford University Press, Oxford, 2015)
W.F. Vinen, Phys. Rev. B 61, 1410 (2000)
M. Tsubota, T. Araki, S.K. Nemirovskii, Phys. Rev. B 62, 11751 (2000)
M.C. Tsatsos, P.E.S. Tavares, A. Cidrim, A.R. Fritsch, M.A. Caracanhas, F.E.A. dos Santos, C.F. Barenghi, V.S. Bagnato, Phys. Rep. 622, 1 (2016)
P.M. Walmsley, A.I. Golov, H.E. Hall, A.A. Levchenko, W.F. Vinen, Phys. Rev. Lett. 99, 265302 (2007)
P.M. Walmsley, A.I. Golov, Phys. Rev. Lett. 100, 245301 (2008)
P.M. Walmsley, D. Zmeev, F. Pakpour, A.I. Golov, Proc. Natl. Acad. Sci. U.S.A. 111, 4691 (2014)
T. Araki, M. Tsubota, S.K. Nemirovskii, Phys. Rev. Lett. 89, 145301 (2002)
C. Nore, M. Abid, M. E. Brachet, Phys. Rev. Lett. 78, 3896 (1997); Phys. Fluids 9, 2644 (1997)
J. T. Tough, in Prog. Low Temp. Phys., Vol. 8, ed. By C. J. Gorter (North-Holland, Amsterdam) , pp. 133–219 (1982)
D.J. Melotte, C.F. Barenghi, Phys. Rev. Lett. 80, 4181 (1998)
H. Adachi, S. Fujiyama, M. Tsubota, Phys. Rev. B 81, 104511 (2010)
K.W. Schwarz, Phys. Rev. B 38, 2398 (1988)
W. Guo, M. La Manta, D.P. Lathrop, S.W. Van Sciver, Proc. Natl. Acad. Sci. U.S.A. 111, 4653 (2014)
G.P. Bewley, D.P. Lathrop, K.R. Sreenivasan, Nature 441, 588 (2006)
W. Guo, S.B. Cahn, J.A. Nikkel, W.F. Vinen, D.N. McKinsey, Phys. Rev. Lett. 105, 045301 (2010)
A. Marakov, J. Gao, W. Guo, S.W. Van Sciver, G.G. Ihas, D.N. McKinsey, W.F. Vinen, Phys. Rev. B 91, 094503 (2015)
D. Kivotides, C.F. Barenghi, D.C. Samuels, Science 290, 777 (2000)
D. Kivotides, Phys. Rev. B 76, 054503 (2007)
S. Yui, M. Tsubota, H. Kobayashi, Phys. Rev. Lett. 120, 155301 (2018)
B. Mastracci, W. Guo, Phys. Rev. Fluids 3, 063304 (2018)
B. Mastracci, W. Guo, Phys. Rev. Fluids 4, 023301 (2019)
B. Mastracci, S. Bao, W. Guo, W.F. Vinen, Phys. Rev. Fluids 4, 083305 (2019)
Y. Tang, S. Bao, T. Kanai, W. Guo, Phys. Rev. Fluids 5, 84602 (2020)
S. Yui, H. Kobayashi, M. Tsubota, W. Guo, Phys. Rev. Lett. 124, 155301 (2020)
W.F. Vinen, L. Skrbek, Proc. Natl. Acad. Sci. U.S.A. 111, 4699 (2014)
M. Tsubota, T. Araki, W.F. Vinen, Phys. B 329–333, 224 (2003)
E. Rickinson, N.G. Parker, A.W. Baggaley, C.F. Barenghi, Phys. Rev. A 98, 023608 (2018)
S.K. Nemirovskii, Phys. Rev. B 81, 064512 (2010)
A. Pomyalov, Phys. Rev. B 101, 134515 (2020)
Y. Tang, S. Bao, W. Guo, Proc. Natl. Acad. Sci. U.S.A. 118, e2021957118 (2021)
S. Yui, Y. Tang, W. Guo, H. Kobayashi, M. Tsubota, Phys. Rev. Lett. 129, 025301 (2022)
W.F. Vinen, M. Tsubota, A. Mitani, Phys. Rev. Lett. 91, 135301 (2003)
S. Nazarenko, Wave Turbulence, Lecture Notes in Physics, vol. 825. (Springer, Heidelberg, 2011)
E. Kozik, B. Svistunov, Phys. Rev. Lett. 92, 035301 (2004)
E. Kozik, B. Svistunov, Phys. Rev. B 77, 060502(R) (2008)
V. S. L’vov, S. V. Nazarenko, O. Rudenko, Phys. Rev. B 76, 024520 (2007)
J. Laurie, V. S. L’vov, S. Nazarenko, O. Rudenko Phys. Rev. B 81, 104526 (2010)
V. S. L’vov, S. Nazarenko, JETP Lett. 91, 428 (2010)
L. Boué, R. Dasgupta, J. Laurie, V. S. L’vov, S. Nazarenko , I. Procaccia, Phys. Rev. B 84, 064516 (2011)
G. Krstulovic, Phys. Rev. B 86, 055301(R) (2012)
N.P. Müller, G. Krstulovic, Phys. Rev. B 102, 134513 (2020)
J. Jäger, B. Schuderer, W. Schoepe, Phys. Rev. Lett. 74, 566 (1995)
R. Hänninen, M. Tsubota, W.F. Vinen, Phys. Rev. B 75, 064502 (2007)
M.S. Paoletti, R.B. Fiorito, K.R. Sreenivasan, D.P. Lathrop, J. Phys. Soc. Jpn. 77, 111007 (2008)
Y. Mineda, M. Tsubota, Y.A. Sergeev, C.F. Barenghi, W.F. Vinen, Phys. Rev. B 87, 174508 (2013)
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Tsubota, M. Studies on Quantum Turbulence with Vinen. J Low Temp Phys 212, 342–350 (2023). https://doi.org/10.1007/s10909-023-02951-9
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DOI: https://doi.org/10.1007/s10909-023-02951-9