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Studies on Quantum Turbulence with Vinen

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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

  1. 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

  1. H.E. Hall, W.F. Vinen, Proc. Roy. Soc. A 238, 204 (1956)

    ADS  Google Scholar 

  2. H.E. Hall, W.F. Vinen, Proc. Roy. Soc. A 238, 215 (1956)

    ADS  Google Scholar 

  3. W.F. Vinen, Proc. Roy. Soc. A 240, 114 (1957)

    ADS  Google Scholar 

  4. W.F. Vinen, Proc. Roy. Soc. A 240, 128 (1957)

    ADS  Google Scholar 

  5. W.F. Vinen, Proc. Roy. Soc. A 242, 493 (1957)

    ADS  Google Scholar 

  6. W.F. Vinen, Proc. Roy. Soc. A 243, 400 (1957)

    ADS  Google Scholar 

  7. W.F. Vinen, Proc. Roy. Soc. A 260, 218 (1961)

    ADS  Google Scholar 

  8. S.L. Davis, P.C. Hendry, P.V.E. McClintock, Phys. B 280, 43 (2000)

    Article  ADS  Google Scholar 

  9. W.F. Vinen, J.J. Niemela, J. Low Temp. Phys. 128, 167 (2002)

    Article  ADS  Google Scholar 

  10. W.F. Vinen, J. Low Temp. Phys. 161, 419 (2010)

    Article  ADS  Google Scholar 

  11. M. Tsubota, K. Fujimoto, S. Yui, J. Low Temp. Phys. 188, 119 (2017)

    Article  ADS  Google Scholar 

  12. J. Maurer, P. Tabeling, Europhys. Lett. 43, 29 (1998)

    Article  ADS  Google Scholar 

  13. S.R. Stalp, L. Skrbek, R.J. Donnelly, Phys. Rev. Lett. 82, 4831 (1999)

    Article  ADS  Google Scholar 

  14. U. Frisch, Turbulence (Cambridge University Press, Cambridge, 1995)

    Book  MATH  Google Scholar 

  15. P.A. Davidson, Turbulence: An Introduction for Scientists and Engineers, 2nd edn. (Oxford University Press, Oxford, 2015)

    Book  MATH  Google Scholar 

  16. W.F. Vinen, Phys. Rev. B 61, 1410 (2000)

    Article  ADS  Google Scholar 

  17. M. Tsubota, T. Araki, S.K. Nemirovskii, Phys. Rev. B 62, 11751 (2000)

    Article  ADS  Google Scholar 

  18. 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)

    Article  ADS  MathSciNet  Google Scholar 

  19. P.M. Walmsley, A.I. Golov, H.E. Hall, A.A. Levchenko, W.F. Vinen, Phys. Rev. Lett. 99, 265302 (2007)

    Article  ADS  Google Scholar 

  20. P.M. Walmsley, A.I. Golov, Phys. Rev. Lett. 100, 245301 (2008)

    Article  ADS  Google Scholar 

  21. P.M. Walmsley, D. Zmeev, F. Pakpour, A.I. Golov, Proc. Natl. Acad. Sci. U.S.A. 111, 4691 (2014)

    Article  ADS  Google Scholar 

  22. T. Araki, M. Tsubota, S.K. Nemirovskii, Phys. Rev. Lett. 89, 145301 (2002)

    Article  ADS  Google Scholar 

  23. C. Nore, M. Abid, M. E. Brachet, Phys. Rev. Lett. 78, 3896 (1997); Phys. Fluids 9, 2644 (1997)

  24. J. T. Tough, in Prog. Low Temp. Phys., Vol. 8, ed. By C. J. Gorter (North-Holland, Amsterdam) , pp. 133–219 (1982)

  25. D.J. Melotte, C.F. Barenghi, Phys. Rev. Lett. 80, 4181 (1998)

    Article  ADS  Google Scholar 

  26. H. Adachi, S. Fujiyama, M. Tsubota, Phys. Rev. B 81, 104511 (2010)

    Article  ADS  Google Scholar 

  27. K.W. Schwarz, Phys. Rev. B 38, 2398 (1988)

    Article  ADS  Google Scholar 

  28. W. Guo, M. La Manta, D.P. Lathrop, S.W. Van Sciver, Proc. Natl. Acad. Sci. U.S.A. 111, 4653 (2014)

    Article  ADS  Google Scholar 

  29. G.P. Bewley, D.P. Lathrop, K.R. Sreenivasan, Nature 441, 588 (2006)

    Article  ADS  Google Scholar 

  30. W. Guo, S.B. Cahn, J.A. Nikkel, W.F. Vinen, D.N. McKinsey, Phys. Rev. Lett. 105, 045301 (2010)

    Article  ADS  Google Scholar 

  31. 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)

    Article  ADS  Google Scholar 

  32. D. Kivotides, C.F. Barenghi, D.C. Samuels, Science 290, 777 (2000)

    Article  ADS  Google Scholar 

  33. D. Kivotides, Phys. Rev. B 76, 054503 (2007)

    Article  ADS  Google Scholar 

  34. S. Yui, M. Tsubota, H. Kobayashi, Phys. Rev. Lett. 120, 155301 (2018)

    Article  ADS  Google Scholar 

  35. B. Mastracci, W. Guo, Phys. Rev. Fluids 3, 063304 (2018)

    Article  ADS  Google Scholar 

  36. B. Mastracci, W. Guo, Phys. Rev. Fluids 4, 023301 (2019)

    Article  ADS  Google Scholar 

  37. B. Mastracci, S. Bao, W. Guo, W.F. Vinen, Phys. Rev. Fluids 4, 083305 (2019)

    Article  ADS  Google Scholar 

  38. Y. Tang, S. Bao, T. Kanai, W. Guo, Phys. Rev. Fluids 5, 84602 (2020)

    Article  Google Scholar 

  39. S. Yui, H. Kobayashi, M. Tsubota, W. Guo, Phys. Rev. Lett. 124, 155301 (2020)

    Article  ADS  Google Scholar 

  40. W.F. Vinen, L. Skrbek, Proc. Natl. Acad. Sci. U.S.A. 111, 4699 (2014)

    Article  ADS  Google Scholar 

  41. M. Tsubota, T. Araki, W.F. Vinen, Phys. B 329–333, 224 (2003)

    Article  ADS  Google Scholar 

  42. E. Rickinson, N.G. Parker, A.W. Baggaley, C.F. Barenghi, Phys. Rev. A 98, 023608 (2018)

    Article  ADS  Google Scholar 

  43. S.K. Nemirovskii, Phys. Rev. B 81, 064512 (2010)

    Article  ADS  Google Scholar 

  44. A. Pomyalov, Phys. Rev. B 101, 134515 (2020)

    Article  ADS  Google Scholar 

  45. Y. Tang, S. Bao, W. Guo, Proc. Natl. Acad. Sci. U.S.A. 118, e2021957118 (2021)

    Article  Google Scholar 

  46. S. Yui, Y. Tang, W. Guo, H. Kobayashi, M. Tsubota, Phys. Rev. Lett. 129, 025301 (2022)

    Article  ADS  Google Scholar 

  47. W.F. Vinen, M. Tsubota, A. Mitani, Phys. Rev. Lett. 91, 135301 (2003)

    Article  ADS  Google Scholar 

  48. S. Nazarenko, Wave Turbulence, Lecture Notes in Physics, vol. 825. (Springer, Heidelberg, 2011)

  49. E. Kozik, B. Svistunov, Phys. Rev. Lett. 92, 035301 (2004)

    Article  ADS  Google Scholar 

  50. E. Kozik, B. Svistunov, Phys. Rev. B 77, 060502(R) (2008)

    Article  ADS  Google Scholar 

  51. V. S. L’vov, S. V. Nazarenko, O. Rudenko, Phys. Rev. B 76, 024520 (2007)

  52. J. Laurie, V. S. L’vov, S. Nazarenko, O. Rudenko Phys. Rev. B 81, 104526 (2010)

  53. V. S. L’vov, S. Nazarenko, JETP Lett. 91, 428 (2010)

  54. L. Boué, R. Dasgupta, J. Laurie, V. S. L’vov, S. Nazarenko , I. Procaccia, Phys. Rev. B 84, 064516 (2011)

  55. G. Krstulovic, Phys. Rev. B 86, 055301(R) (2012)

    Article  ADS  Google Scholar 

  56. N.P. Müller, G. Krstulovic, Phys. Rev. B 102, 134513 (2020)

    Article  ADS  Google Scholar 

  57. J. Jäger, B. Schuderer, W. Schoepe, Phys. Rev. Lett. 74, 566 (1995)

    Article  ADS  Google Scholar 

  58. R. Hänninen, M. Tsubota, W.F. Vinen, Phys. Rev. B 75, 064502 (2007)

    Article  ADS  Google Scholar 

  59. M.S. Paoletti, R.B. Fiorito, K.R. Sreenivasan, D.P. Lathrop, J. Phys. Soc. Jpn. 77, 111007 (2008)

    Article  ADS  Google Scholar 

  60. Y. Mineda, M. Tsubota, Y.A. Sergeev, C.F. Barenghi, W.F. Vinen, Phys. Rev. B 87, 174508 (2013)

    Article  ADS  Google Scholar 

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MT wrote the whole draft alone.

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Correspondence to Makoto Tsubota.

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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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