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Homogeneous Turbulence in Superfluid 4He in the Low-Temperature Limit: Experimental Progress

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Abstract

Selected advances in the research on the dynamics of tangles of quantized vortices in superfluid helium with little normal component during the last 50 years are briefly reviewed. The main emphasis is on the experimental techniques of generating and probing homogeneous one-component superfluid turbulence of various energy spectra in superfluid 4He in the low-temperature limit. The most recent experimental progress, modern theoretical concepts and future outlook are summarized.

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References

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

    MATH  Google Scholar 

  2. R.P. Feynman, in Progress in Low Temperature Physics, vol. I, ed. by C.J. Gorter (North-Holland, Amsterdam, 1955), p. 17

    Google Scholar 

  3. H.E. Hall, W.F. Vinen, Proc. R. Soc. Lond. A 238, 204 (1956)

    Article  ADS  Google Scholar 

  4. W.F. Vinen, Proc. R. Soc. Lond. A 240, 114 (1957)

    Article  ADS  Google Scholar 

  5. W.F. Vinen, Proc. R. Soc. Lond. A 240, 128 (1957)

    Article  ADS  Google Scholar 

  6. W.F. Vinen, Proc. R. Soc. Lond. A 242, 493 (1957)

    Article  ADS  Google Scholar 

  7. W.F. Vinen, Proc. R. Soc. Lond. A 243, 400 (1958)

    Article  ADS  Google Scholar 

  8. W.F. Vinen, Vortex lines in liquid helium II, in Progress in Low Temperature Physics, vol. III, ed. by C.J. Gorter (Elsevier, Amsterdam, 1961), pp. 1–57

    Google Scholar 

  9. J.T. Tough, in Progress in Low Temperature Physics, vol. VIII, ed. by D.F. Brewer (North-Holland, Amsterdam, 1982), p. 133

    Google Scholar 

  10. R.J. Donnelly, Quantized Vortices in Helium II (Cambridge University Press, Cambridge, 1991)

    Google Scholar 

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

    Article  Google Scholar 

  12. W.F. Vinen, J. Low Temp. Phys. 145, 7 (2006)

    Article  ADS  Google Scholar 

  13. W.F. Vinen, R.J. Donnelly, Quantum turbulence. Phys. Today, April, 43 (2007)

    Article  Google Scholar 

  14. M. Tsubota (ed.), Quantum Turbulence. Progress in Low Temperature Physics, vol. XVI (North-Holland, Amsterdam, 2008)

    Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  17. M.S. Paoletti, M.E. Fisher, K.R. Sreenivasan, D.P. Lathrop, Phys. Rev. Lett. 101, 154501 (2008)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  19. K.W. Schwarz, Phys. Rev. B 31, 5782 (1985)

    Article  ADS  Google Scholar 

  20. E.V. Kozik, B.V. Svistunov, Phys. Rev. B 72, 172505 (2005)

    Article  ADS  Google Scholar 

  21. E.V. Kozik, B.V. Svistunov, Phys. Rev. B 77, 060502 (2008)

    Article  ADS  Google Scholar 

  22. E.V. Kozik, B.V. Svistunov, Phys. Rev. Lett. 100, 195302 (2008)

    Article  ADS  Google Scholar 

  23. G.E. Volovik, JETP Lett. 78, 533 (2003)

    Article  ADS  Google Scholar 

  24. G.E. Volovik, J. Low Temp. Phys. 136, 309 (2004)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  26. P.-E. Roche, C.F. Barenghi, Europhys. Lett. 81, 36002 (2008)

    Article  ADS  Google Scholar 

  27. 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 

  28. V.S. L’vov, S.V. Nazarenko, O. Rudenko, J. Low Temp. Phys. 153, 140 (2008)

    Article  ADS  Google Scholar 

  29. T. Lipniacki, Eur. J. Mech. B, Fluids 25, 435 (2006)

    Article  MATH  ADS  MathSciNet  Google Scholar 

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

    Article  ADS  Google Scholar 

  31. V.S. L’vov, S.V. Nazarenko, G.E. Volovik, JETP Lett. 80, 535 (2004)

    Article  Google Scholar 

  32. V.S. L’vov, S.V. Nazarenko, L. Skrbek, J. Low Temp. Phys. 145, 125 (2006)

    Article  ADS  Google Scholar 

  33. I.L. Bekarevich, I.M. Khalatnikov, Sov. Phys. JETP 13, 643 (1961)

    Google Scholar 

  34. E.B. Sonin, Rev. Mod. Phys. 59, 87 (1987)

    Article  ADS  MathSciNet  Google Scholar 

  35. A.P. Finne, T. Araki, R. Blaauwgeers, V.B. Eltsov, N.B. Kopnin, M. Krusius, L. Skrbek, M. Tsubota, G.E. Volovik, Nature 424, 1022 (2003)

    Article  ADS  Google Scholar 

  36. E.V. Kozik, B.V. Svistunov, J. Low Temp. Phys. (2009, this volume)

  37. V.B. Eltsov, R. de Graaf, R. Hanninen, M. Krusius, R.E. Solntsev, V.S. L’vov, A.I. Golov, P.M. Walmsley, in Quantum Turbulence, ed. by M. Tsubota. Progress in Low Temperature Physics, vol. XVI (North-Holland, Amsterdam, 2008), pp. 45–146

    Google Scholar 

  38. P.-E. Roche, P. Diribarne, T. Didelot, O. Francais, L. Rousseau, H. Willaime, Europhys. Lett. 77, 66002 (2007)

    Article  ADS  Google Scholar 

  39. V.B. Eltsov, A.I. Golov, R. de Graaf, R. Hanninen, M. Krusius, V. L’vov, R.E. Solntsev, Phys. Rev. Lett. 99, 265301 (2007)

    Article  ADS  Google Scholar 

  40. D.I. Bradley, D.O. Clubb, S.N. Fisher, A.M. Guenault, R.P. Haley, C.J. Matthews, G.R. Pickett, V. Tsepelin, K. Zaki, Phys. Rev. Lett. 96, 035301 (2006)

    Article  ADS  Google Scholar 

  41. B.M. Guenin, G.B. Hess, J. Low Temp. Phys. 33, 243 (1978)

    Article  ADS  Google Scholar 

  42. P.D. Saundry, M.R. Thoman, L.J. Friedman, C.M. Gould, H.M. Bozler, J. Low Temp. Phys. 86, 401 (1992)

    Article  ADS  Google Scholar 

  43. G. Gamota, Phys. Rev. Lett. 31, 517 (1973)

    Article  ADS  Google Scholar 

  44. W. Schoepe, Phys. Rev. Lett. 92, 095301 (2004)

    Article  ADS  Google Scholar 

  45. R. Goto, S. Fujiyama, H. Yano, Y. Nago, N. Hashimoto, K. Obara, O. Ishikawa, M. Tsubota, T. Hata, Phys. Rev. Lett. 100, 045301 (2008)

    Article  ADS  Google Scholar 

  46. D. Charalambous, L. Skrbek, P.C. Hendry, P.V. McClintock, W.F. Vinen, Phys. Rev. E 74, 036307 (2006)

    Article  ADS  Google Scholar 

  47. G.A. Sheshin, A.A. Zadorozhko, E.Y. Rudavskii, V.K. Chagovets, L. Skrbek, M. Blazhkova, Low Temp. Phys. 34, 875 (2008)

    Article  ADS  Google Scholar 

  48. R. Blaauwgeers, M. Blazkova, M. Clovecko, V.B. Eltsov, R. de Graaf, J. Hosio, M. Krusius, D. Schmoranzer, W. Schoepe, L. Skrbek, P. Skyba, R.E. Solntsev, D.E. Zmeev, J. Low Temp. Phys. 146, 537 (2007)

    Article  ADS  Google Scholar 

  49. G. Careri, F. Scaramuzzi, J.O. Thomson, Nuovo Cimento 18, 957 (1960)

    Article  Google Scholar 

  50. G. Careri, W.D. McCormic, F. Scaramuzzi, Phys. Lett. 1, 61 (1962)

    Article  ADS  Google Scholar 

  51. C.C. Grimes, G. Adams, Phys. Rev. B 45, 2305 (1992)

    Article  ADS  Google Scholar 

  52. W. Guo, D. Jin, G.M. Seidel, H.J. Maris, Phys. Rev. B 79, 054515 (2009)

    Article  ADS  Google Scholar 

  53. A.F. Borghesani, Ions and Electrons in Liquid Helium (Oxford University Press, Oxford, 2007)

    Book  Google Scholar 

  54. A.L. Fetter, in The Physics of Liquid and Solid Helium, ed. by K.H. Bennemann, J.B. Ketterson (Wiley, New York, 1976)

    Google Scholar 

  55. K.W. Schwarz, Mobilities of charge carriers in superfluid helium, in Advances in Chemical Physics, vol. 33, ed. by I. Prigogine, S.A. Rice (Wiley, New York, 1975), p. 3

    Chapter  Google Scholar 

  56. G.W. Rayfield, F. Reif, Phys. Rev. A 136, 1194 (1964)

    Article  ADS  Google Scholar 

  57. K.W. Schwarz, R.J. Donnelly, Phys. Rev. Lett. 17, 1088 (1966)

    Article  ADS  Google Scholar 

  58. K.W. Schwarz, Phys. Rev. 165, 323 (1968)

    Article  ADS  Google Scholar 

  59. R.M. Bowley et al., Philos. Trans. R. Soc. Lond. A 307, 201 (1982)

    Article  ADS  Google Scholar 

  60. E.J. Yarmchuk, M.J.V. Gordon, R.E. Packard, Phys. Rev. Lett. 43, 214 (1979)

    Article  ADS  Google Scholar 

  61. R.M. Ostermeier, W.I. Glaberson, J. Low Temp. Phys. 25, 317 (1976)

    Article  ADS  Google Scholar 

  62. T.V. Chagovets, L. Skrbek, Phys. Rev. Lett. 100, 215302 (2008)

    Article  ADS  Google Scholar 

  63. F.P. Milliken, K.W. Schwarz, C.W. Smith, Phys. Rev. Lett. 48, 1204 (1982)

    Article  ADS  Google Scholar 

  64. L. Skrbek, W.F. Vinen, in Quantum Turbulence, ed. by M. Tsubota. Progress in Low Temperature Physics, vol. XVI (North-Holland, Amsterdam, 2008)

    Google Scholar 

  65. R. Hanninen, W. Schoepe, J. Low Temp. Phys. 153, 189 (2008)

    Article  ADS  Google Scholar 

  66. D.I. Bradley et al., Phys. Rev. Lett. 101, 065302 (2008)

    Article  ADS  Google Scholar 

  67. S. Fujiyama, M. Tsubota, Phys. Rev. B 79, 094513 (2009)

    Article  ADS  Google Scholar 

  68. S.I. Davis, P.C. Hendry, P.V.E. McClintock, Physica B 280, 43 (2000)

    Article  ADS  Google Scholar 

  69. B.M. Guenin, G.B. Hess, Physica B 101, 285 (1980)

    Article  Google Scholar 

  70. C.F. Barenghi et al., Phys. Rev. Lett. 89, 155302 (2002)

    Article  ADS  Google Scholar 

  71. M. Tsubota, T. Araki, W.F. Vinen, Physica B 329, 224 (2003)

    Article  ADS  Google Scholar 

  72. S.Z. Alamri, A.J. Youd, C.F. Barenghi, Phys. Rev. Lett. 101, 215302 (2008)

    Article  ADS  Google Scholar 

  73. S.K. Nemirovskii, arXiv:09.02.3720v1 (2009)

  74. K.W. Schwarz, Phys. Rev. Lett. 57, 1448 (1986)

    Article  ADS  Google Scholar 

  75. Y. Pomeau, D.C. Roberts, Phys. Rev. B 77, 144508 (2008)

    Article  ADS  Google Scholar 

  76. B.V. Svistunov, Phys. Rev. B 52, 3647 (1995)

    Article  ADS  Google Scholar 

  77. D. Kivotides, J.C. Vassilicos, D.C. Samuels, C.F. Barenghi, Phys. Rev. Lett. 86, 3080 (2001)

    Article  ADS  Google Scholar 

  78. S.K. Nemirovskii, W. Fiszdon, Rev. Mod. Phys. 67, 37 (1995)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  80. S. Nazarenko, JETP Lett. 83, 198 (2006)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  82. D.C. Samuels, C.F. Barenghi, Phys. Rev. Lett. 81, 4381 (1998)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  84. K.W. Schwarz, J.R. Rozen, Phys. Rev. B 44, 7563 (1991)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  86. M. Leadbeater, D.C. Samuels, C.F. Barenghi, C.S. Adams, Phys. Rev. A 67, 015601 (2003)

    Article  ADS  Google Scholar 

  87. N.G. Berloff, A.J. Youd, Phys. Rev. Lett. 99, 145301 (2007)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  89. M. Kobayashi, M. Tsubota, Phys. Rev. Lett. 94, 065302 (2005)

    Article  ADS  Google Scholar 

  90. K.R. Sreenivasan, Phys. Fluids 7, 2778 (1995)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  91. M. Tsubota, M. Kobayashi, in Quantum Turbulence, ed. by M. Tsubota. Progress in Low Temperature Physics, vol. XVI (North-Holland, Amsterdam, 2008), pp. 1–43

    Google Scholar 

  92. R. Hanninen, J. Low Temp. Phys. (2009, this volume)

  93. P.M. Walmsley, A.I. Golov, H.E. Hall, W.F. Vinen, A.A. Levchenko, J. Low Temp. Phys. 153, 127 (2008)

    Article  ADS  Google Scholar 

  94. P.M. Walmsley, A.A. Levchenko, S.E. May, A.I. Golov, J. Low Temp. Phys. 146, 511 (2007)

    Article  ADS  Google Scholar 

  95. S.R. Stalp, J.J. Niemela, W.F. Vinen, R.J. Donnelly, Phys. Fluids 14, 1377 (2002)

    Article  ADS  Google Scholar 

  96. J.J. Niemela, K.R. Sreenivasan, R.J. Donnelly, J. Low Temp. Phys. 138, 537 (2005)

    Article  ADS  Google Scholar 

  97. C.F. Barenghi, A.V. Gordeev, L. Skrbek, Phys. Rev. E 74, 026309 (2006)

    Article  ADS  Google Scholar 

  98. S.N. Fisher, G.R. Pickett, in Quantum Turbulence, ed. by M. Tsubota. Progress in Low Temperature Physics, vol. XVI (North-Holland, Amsterdam, 2008), pp. 147–194

    Google Scholar 

  99. D.I. Bradley et al., Phys. Rev. Lett. 95, 035302 (2005)

    Article  ADS  Google Scholar 

  100. C.F. Barenghi, Y.A. Sergeev, N. Suramlishvili, P.J. van Dijk, Phys. Rev. B 79, 024508 (2009)

    Article  ADS  Google Scholar 

  101. G.G. Ihas, G. Labbe, S.C. Liu, K.J. Thompson, J. Low Temp. Phys. 150, 384 (2008)

    Article  ADS  Google Scholar 

  102. W.G. Rellergert, S.B. Cahn, A. Garvan, J.C. Hanson, W.H. Lippincott, J.A. Nikkel, D.N. McKinsey, Phys. Rev. Lett. 100, 025301 (2008)

    Article  ADS  Google Scholar 

  103. P.M. Walmsley, A.I. Golov, to be submitted for publication (2009)

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Authors and Affiliations

  1. School of Physics and Astronomy, The University of Manchester, Manchester, M13 9PL, UK

    A. I. Golov & P. M. Walmsley

  2. Joseph Fourier University, 38041, Grenoble, France

    A. I. Golov

  3. CNRS—Institut Neel, 38042, Grenoble, France

    A. I. Golov

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  1. A. I. Golov
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  2. P. M. Walmsley
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Golov, A.I., Walmsley, P.M. Homogeneous Turbulence in Superfluid 4He in the Low-Temperature Limit: Experimental Progress. J Low Temp Phys 156, 51–70 (2009). https://doi.org/10.1007/s10909-009-9896-9

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