Diffusion of inhomogeneous vortex tangle and decay of superfluid turbulence

Physical Review B - Condensed Matter and Materials Physics

Volumn 81, Issue 6, 2010, Pages

  Nemirovskii, Sergey K ^a,b  

^a KUTATELADZE INSTITUTE OF THERMOPHYSICS   (Russian Federation)

^b NOVOSIBIRSK STATE UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 77954821534     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.81.064512     Document Type: Article

References (33)

1. H. van Beelen, W. van Joolingen, and K. Yamada, Physica B 153, 248 (1988). 10.1016/0921-4526(88)90053-1
2. J. A. Geurst, Physica B 154, 327 (1989). 10.1016/0921-4526(89)90167-1
3. S. K. Nemirovskii and W. Fiszdon, Rev. Mod. Phys. 67, 37 (1995). 10.1103/RevModPhys.67.37
4. M. S. Mongiovì and D. Jou, Phys. Rev. B 75, 024507 (2007). 10.1103/PhysRevB.75.024507
5. M. Tsubota, T. Araki, and W. F. Vinen, Physica B 329-333, 224 (2003). 10.1016/S0921-4526(02)01968-3
6. C. F. Barenghi and D. C. Samuels, Phys. Rev. Lett. 89, 155302 (2002). 10.1103/PhysRevLett.89.155302
7. D. I. Bradley, D. O. Clubb, S. N. Fisher, A. M. Guenault, R. P. Haley, C. J. Matthews, G. R. Pickett, V. Tsepelin, and K. Zaki, Phys. Rev. Lett. 95, 035302 (2005). 10.1103/PhysRevLett.95.035302
8. C. Nore, M. Abid, and M. E. Brachet, Phys. Rev. Lett. 78, 3896 (1997). 10.1103/PhysRevLett.78.3896
9. S. R. Stalp, L. Skrbek, and R. J. Donnelly, Phys. Rev. Lett. 82, 4831 (1999). 10.1103/PhysRevLett.82.4831
10. W. F. Vinen, Phys. Rev. B 61, 1410 (2000). 10.1103/PhysRevB.61.1410
11. T. Araki, M. Tsubota, and S. K. Nemirovskii, Phys. Rev. Lett. 89, 145301 (2002). 10.1103/PhysRevLett.89.145301
12. T. V. Chagovets, A. V. Gordeev, and L. Skrbek, Phys. Rev. E 76, 027301 (2007). 10.1103/PhysRevE.76.027301
13. P. M. Walmsley and A. I. Golov, Phys. Rev. Lett. 100, 245301 (2008). 10.1103/PhysRevLett.100.245301
14. U. Frisch, Turbulence (Cambridge University Press, Cambridge, 1996).
15. M. Tsubota, T. Araki, and S. K. Nemirovskii, Phys. Rev. B 62, 11751 (2000). 10.1103/PhysRevB.62.11751
16. S. I. Davis, P. C. Hendry, and P. V. E. McClintock, Physica B 280, 43 (2000). 10.1016/S0921-4526(99)01442-8
17. D. I. Bradley, D. O. Clubb, S. N. Fisher, A. M. Guenault, R. P. Haley, C. J. Matthews, G. R. Pickett, V. Tsepelin, and K. Zaki, Phys. Rev. Lett. 96, 035301 (2006). 10.1103/PhysRevLett.96.035301
18. P. M. Walmsley, A. I. Golov, H. E. Hall, A. A. Levchenko, and W. F. Vinen, Phys. Rev. Lett. 99, 265302 (2007). 10.1103/PhysRevLett.99.265302
19. C. F. Barenghi, Physica D 237, 2195 (2008). 10.1016/j.physd.2008.01.010
20. S. K. Nemirovskii, Phys. Rev. Lett. 96, 015301 (2006). 10.1103/PhysRevLett.96.015301
21. S. K. Nemirovskii, Phys. Rev. B 77, 214509 (2008). 10.1103/PhysRevB.77. 214509
22. S. K. Nemirovskii, Phys. Rev. B 57, 5972 (1998). 10.1103/PhysRevB.57.5972
23. H. Kleinert, Gauge Fields in Condenced Matter Physics (World Scientific, Singapore, 1990).
24. F. W. Wiegel, Introduction to Path-Intregral Methods in Physics and Polymer Sciencs (World Scientific, Singapore, 1986).
25. E. J. Copeland, T. W. B. Kibble, and D. A. Steer, Phys. Rev. D 58, 043508 (1998). 10.1103/PhysRevD.58.043508
26. K. W. Schwarz, Phys. Rev. B 38, 2398 (1988). 10.1103/PhysRevB.38.2398
27. S. K. Nemirovskii, J. Low Temp. Phys., 142, 769 (2006). 10.1007/s10909-006-9204-x
28. In principal there is a possible artificial situation when parameter ξ 0 is independent. This case can be realized while injecting the loops (rings) of a fixed size into volume. One more case can appear when the loops are emitted as a result of overlapping Kelvin wave sand the mean radius of curvature ξ 0 should be connected to the spectrum of Kelvin waves (Ref.). In this case we have to consider the quantaty ξ 0 to be an additional variable and the whole approach should be significantly modernized.
29. We use the term homogeneous decay, to describe the attenuation of the vortex tangle at zero temperature due to mechanisms such as a cascadelike break down of the loops, a Kelvin waves cascade, acoustic radiation, reconnection loss, etc., as discussed in Ref.. This should be distinguished it from the diffusionlike attenuation of the vortex line density described in the present paper.
30. H. S. Carslaw and J. C. Jaeger, Conduction of Heat in Solids (Clarendon Press, Oxford, 1984).
31. G. E. Volovik, JETP Lett. 78, 553 (2003).
32. L. Skrbek, Pis'ma Zh. Eksp. Teor. Fiz., 80, 541 (2004).
33. B. V. Svistunov, Phys. Rev. B 52, 3647 (1995). 10.1103/PhysRevB.52.3647