2003/10/20 by G. E. Volovik · 2 citations
Physics and Astronomy · #Atomic and Subatomic Physics Research #Classical mechanics #Cold Atom Physics and Bose-Einstein Condensates #Mechanics #Physics #Quantum #Quantum electrodynamics #Quantum mechanics #Quantum turbulence #Quantum, superfluid, helium dynamics #Solid-state physics #Statistical physics #Superfluidity #Turbulence #cond-mat #hep-ph #nlin.CD #physics.flu-dyn
paper · pdf · doi:10.1134/1.1641478
published as Pisma Zh.Eksp.Teor.Fiz. 78 (2003) 1021-1025; JETP Lett. 78 (2003) 533-537 · 12 pages, 1 figure, version accepted in JETP Letters
arxiv created 2003/10/20 · openalex publication_date 2003/11/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We argue that turbulence in superfluids is governed by two dimensionless parameters. One of them is the intrinsic parameter q which characterizes the friction forces acting on a vortex moving with respect to the heat bath, with q −1 playing the same role as the Reynolds number Re= UR/ν in classical hydrodynamics. It marks the transition between the “laminar” and turbulent regimes of vortex dynamics. The developed turbulence described by Kolmogorov cascade occurs when Re≫1 in classical hydrodynamics, and q ≪1 in superfluid hydrodynamics. Another parameter of superfluid turbulence is the superfluid Reynolds number Re s = UR/κ , which contains the circulation quantum κ characterizing quantized vorticity in superfluids. This parameter may regulate the crossover or transition between two classes of superfluid turbulence: (i) the classical regime of Kolmogorov cascade where vortices are locally polarized and the quantization of vorticity is not important; (ii) the quantum Vinen turbulence whose properties are determined by the quantization of vorticity. A phase diagram of the dynamical vortex states is suggested.