Abstract
We discuss in detail the recently proposed mechanism of dissipation and damping of the vortex motion in Fermi superfluids at temperatures much smaller than the critical one (Silaev, Phys. Rev. Lett., 108:045303, 2012). In the absence of the heat bath of normal component the kinetic energy of the superflow is transferred to the vortex core fermions due to the accelerated vortex motion. The resulting local heating of the vortex cores creates the heat flux carried by non-equilibrium quasiparticles emitted by moving vortices. Here we study this peculiar kinetics of localized quasiparticles beyond relaxation time approximation, calculate the decrement of Kelvin waves and the total power losses in Kelvin wave cascade realized by the turbulent motion of 3He-B.
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References
M.A. Silaev, Phys. Rev. Lett. 108, 045303 (2012)
D. Saint-James, G. Sarma, E.J. Thomas, Type-II Superconductivity (Pergamon press, Oxford, 1969)
W.F. Vinen, J. Low Temp. Phys. 145, 7 (2006)
V.B. Eltsov et al., in Prog. in Low Temp. Phys., ed. by M. Tsubota, vol. 16 (Elsevier, Amsterdam, 2008)
D.I. Bradley et al., Phys. Rev. Lett. 96, 35301 (2006)
V.B. Eltsov et al., Phys. Rev. Lett. 99, 265301 (2007)
P.M. Walmsley et al., Phys. Rev. Lett. 99, 265302 (2007)
D.I. Bradley et al., Nat. Phys. 7, 473 (2011)
J.J. Hosio et al., Phys. Rev. Lett. 107, 135302 (2011)
N.B. Kopnin, M.M. Salomaa, Phys. Rev. B 44, 9667 (1991)
N.B. Kopnin, Rep. Prog. Phys. 65, 1633 (2002)
N.B. Kopnin, Theory of Nonequilibrium Superconductivity (Oxford University Press, London, 2001)
C. Caroli, P.G. de Gennes, J. Matricon Phys. Lett. 9, 307 (1964)
G.E. Volovik, The Universe in a Helium Droplet (Clarendon Press, Oxford, 2003)
G.M. Eliashberg, Zh. Eksp. Teor. Fiz. 61, 1254 (1971). Also in Sov. Phys. JETP 34, 668 (1972)
N.B. Kopnin, A.V. Lopatin, Phys. Rev. B 56, 766 (1997)
N.B. Kopnin, A.S. Melnikov, V.I. Pozdnyakova, D.A. Ryzhov, I.A. Shereshevskii, V.M. Vinokur, Phys. Rev. B 75, 024514 (2007)
N.B. Kopnin, V.M. Vinokur, Phys. Rev. Lett. 81, 3952 (1998)
E. Kozik, B. Svistunov, Phys. Rev. Lett. 92, 035301 (2004)
V. Lvov et al., Phys. Rev. B. 76, 024520 (2007)
V. Lvov, S. Nazarenko, JETP Lett. 91, 428 (2010)
L. Boue et al., Phys. Rev. B 84, 064516 (2011)
E.B. Sonin, Rev. Mod. Phys. 59, 87 (1987)
N.B. Kopnin, Phys. Rev. B. 60, 581 (1999)
W.F. Vinen, Phys. Rev. B 61, 1410 (1999)
Acknowledgements
The work is supported by the Presidential RSS Council Grant No. MK-4211.2011.2 and Russian Foundation for Basic Research Grant No. 11-02-00891. Discussions with G.E. Volovik, N.B. Kopnin, A.S. Mel’nikov, V.B. Eltsov and M. Krusius are greatly acknowledged.
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Silaev, M.A. Dissipative Vortex Motion in Fermi Superfluids at Ultra Low Temperatures. J Low Temp Phys 171, 539–550 (2013). https://doi.org/10.1007/s10909-012-0813-2
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DOI: https://doi.org/10.1007/s10909-012-0813-2