NDLI: On Developed Superfluid Turbulence

Content Provider	Springer Nature Link
Author	Volovik, G.E.
Copyright Year	2004
Abstract	Superfluid turbulence is governed by two dimensionless parameters. One of them is the intrinsic parameter q which characterizes the relative value of the friction force acting on a vortex with respect to the non-dissipative forces. The inverse parameter q$^{−1}$ plays the same role as the Reynolds number Re = U R/ν in classical hydrodynamics. It marks the transition between the “laminar” and turbulent regimes of vortex dynamics. The developed turbulence, described by a Kolmogorov cascade, occurs when Re ≪ 1 in classical hydrodynamics. In superfluids, the developed turbulence occurs at q ≪ 1. Another parameter of superfluid turbulence is the superfluid Reynolds number Re$_{s}$ = U R/κ, which contains the circulation quantum κ characterizing quantized vorticity in superfluids. The two parameters q and Re$_{s}$ control the crossover or transition between two classes of superfluid turbulence: (i) the classical regime, where the Kolmogorov cascade, probably modifed by the non-canonical dissipation due to mutual friction, is effective, vortices are locally polarized, and the quantization of vorticity is not important; and (ii) the Vinen quantum turbulence where the properties are determined by the quantization of vorticity. The phase diagram of these dynamical vortex states is suggested. PACS numbers: 43.37.+q, 47.32.Cc, 67.40.Vs, 67.57.Fg.
Starting Page	309
Ending Page	327
Page Count	19
File Format	PDF
ISSN	00222291
Journal	Journal of Low Temperature Physics
Volume Number	136
Issue Number	5-6
e-ISSN	15737357
Language	English
Publisher	Kluwer Academic Publishers-Plenum Publishers
Publisher Date	2004-01-01
Publisher Place	New York
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Characterization and Evaluation Materials Condensed Matter Magnetism, Magnetic Materials
Content Type	Text
Resource Type	Article
Subject	Atomic and Molecular Physics, and Optics Condensed Matter Physics Materials Science

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