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On Decaying Counterflow Turbulence in He II

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We review available experimental and numerical data on decaying counterflow turbulence in He II and present our current understanding of the underlying physics. We take into account the temperature gradient present in the steady-state counterflow turbulence, the fact that in the early stage of the decay the turbulence is still thermally driven, and the fact that at the beginning of the decay the vortex tangle is strongly polarized. When the heater that generates the counterflow turbulence is switched off, the vortex tangle decays, the vortex lines randomize their spatial orientation and the tangle’s polarization decreases. The process of depolarization slows down the recovery of the transverse second sound signal which measures the vortex line density; at some values of parameters it even leads to a net decrease of the amplitude of the transverse second sound prior to reaching the universal −3/2 power temporal law decay typical of classical homogeneous isotropic turbulence in a finite-sized channel.

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References

  1. Tough J.T., Superfluid turbulence, in Prog. in Low Temp. Phys., Vol.VIII, North-Holland Publ. Co., (1982).

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

    Article  Google Scholar 

  3. Vinen W.F., Proc. Roy. Soc. A240 114, (1957); A240 128, (1957); A242 493 (1957); A243 400 (1957).

  4. Smith M.R. et al., (1993). Phys. Rev. Lett. 71: 2583

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  6. Skrbek L., Niemela J.J., Donnelly R.J., (2000). Phys. Rev. Lett. 85: 2973

    Article  ADS  Google Scholar 

  7. Davis S.I., Hendry P.C., McClintock P.V.E., (2000). Physica B280, 43

    ADS  Google Scholar 

  8. Bradley D.I. et al., (2006). Phys. Rev. Lett. 96: 035301

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  10. Landau L.D., Lifshitz E.M., Fluid Mechanics, Pergamon Press (1987).

  11. Skrbek L., Gordeev A.V., Soukup F., (2003). Phys. Rev. E 67: 047302

    Article  ADS  Google Scholar 

  12. Chase C.E., Phys. Rev. 127, 361 (1962); 131, 1898 (1963).

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  15. Klinich G., Kafkalidis J.F., Tough J.T., (1997). J. Low Temp. Phys. 107, 327

    Article  ADS  Google Scholar 

  16. Skrbek L., (2004). JETP Letters 80, 474

    Article  ADS  Google Scholar 

  17. Volovik G.E., (2003). JETP Letters 78, 553

    ADS  Google Scholar 

  18. Chagovets T.V. et al., (2006). Acta Physica Slovaca 56, 173

    Google Scholar 

  19. Gordeev A.V., Chagovets T.V., Soukup F., Skrbek L., (2005). J. Low Temp. Phys. 138, 549

    Article  ADS  Google Scholar 

  20. Hall H.E., Vinen W.F., Proc. Roy. Soc. A238 204 (1957); A238 215 (1957).

  21. Barenghi C.F., Vinen W.F., Donnelly R.J. (1982). J. Low Temp. Phys. 52, 189

    Article  ADS  Google Scholar 

  22. Donnelly R.J., Barenghi C.F., (1998). J. Phys. Chem. Data 27: 1217

    Article  ADS  Google Scholar 

  23. Stalp S.R., PhD. Thesis, University of Oregon, Eugene, USA (1998).

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

    Article  ADS  Google Scholar 

  25. H. A. Snyder and Putney Z., Phys. Rev. 150, 110 (1966); P. Mathieu, B. Placais, and Y. Simon, Phys. Rev. B 29, 2489 (1984).

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

    Article  ADS  Google Scholar 

  27. Barenghi C.F., Swanson C.E., Donnelly R.J., (1982). Phys. Rev. Lett. 48: 1187

    Article  ADS  Google Scholar 

  28. K. W. Schwarz and Rozen J.R., Phys. Rev. Lett. 66, 1898 (1991); Phys. Rev. B 44, 7563 (1991).

    Google Scholar 

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

    Article  ADS  Google Scholar 

  30. Skrbek L., Stalp S.R., (2000). Phys. Fluids 12: 1997

    Article  ADS  Google Scholar 

  31. Touil H., Bertoglio J.P., Shao L., (2002). J. of Turbulence 3, 049

    Article  ADS  MathSciNet  Google Scholar 

  32. Barenghi C.F., Samuels D.C., (2004). J. Low Temp. Phys. 36, 281

    Article  ADS  Google Scholar 

  33. Koplik J., Levine H., (1993). Phys. Rev. Lett. 71: 1375

    Article  ADS  Google Scholar 

  34. Bauer G.G., Samuels D.C., Donnelly R.J., (1997). Phys. Fluids, 9: 2631

    Article  ADS  Google Scholar 

  35. Leadbeater M., Winiecki T., Samuels D.C., Barenghi C.F., Adams C.S., (2001). Phys. Rev. Lett. 86: 1410

    Article  ADS  Google Scholar 

  36. Barenghi C.F., Hulton S., Samuels D.C., (2002). Phys. Rev. Lett. 89: 275301

    Article  ADS  Google Scholar 

  37. Kivotides D., (2006). Phys. Rev. Lett. 96: 175301

    Article  ADS  Google Scholar 

  38. V. S. L’vov, Nazarenko S.V., and L. Skrbek, Energy Spectra of Developed Turbulence in Helium Superfluids, nlin. CD/0606002.

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

    Article  ADS  Google Scholar 

  40. Awschalom D.D., Milliken F.P., Schwarz K.W., (1984). Phys. Rev. Lett. 53: 1372

    Article  ADS  Google Scholar 

  41. Tritton D.J., Physical Fluid Dynamics, Oxford University Press (1988).

  42. Chagovets T.V., Gordeev A.V., Rotter M., Soukup F., Šindelář J., Skrbek L., (2006). Acta Physica Slovaca 56, 169

    Google Scholar 

  43. Bewley G.P., Lathrop D.P., Streenivasan K., (2006). Nature 441, 588

    Article  ADS  Google Scholar 

  44. Zhang T., Van Sciver S.W., (2005). Nature Physics 1, 36

    Article  ADS  Google Scholar 

  45. Poole D.R., Barenghi C.F., Sergeev Y.A., and Vinen W.F., Phys. Rev. B 71, 064514 (2005); Sergeev Y.A., Barenghi C.F., and D. Kivotides, Phys. Rev. B 73 052502 (2005); Sergeev Y.A., Barenghi C.F., and D. Kivotides, submitted (2006).

  46. Swanson C.E., Barenghi C.F., Donnelly R.J., (1983). Phys. Rev. Lett. 50, 190

    Article  ADS  Google Scholar 

  47. Tsubota M., T. Araki, and Barenghi C.F., Phys. Rev. Lett. 90, 205301 (2003); M. Tsubota, Barenghi C.F., T. Araki, and A. Mitani, Phys. Rev. B 69 134515 (2004).

  48. Nichol H.A., Skrbek L., Hendry P.C., McClintock P.V.E., (2004). Phys. Rev. Lett. 92: 244501

    Article  ADS  Google Scholar 

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Correspondence to C. F. Barenghi.

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Barenghi, C.F., Skrbek, L. On Decaying Counterflow Turbulence in He II. J Low Temp Phys 146, 5–30 (2007). https://doi.org/10.1007/s10909-006-9270-0

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