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Scale-Separation Scheme for Simulating Superfluid Turbulence: Kelvin-Wave Cascade

2004/08/31 by Evgeny Kozik, Boris Svistunov · 4 citations
Earth and Planetary Sciences · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #High-pressure geophysics and materials #Quantum, superfluid, helium dynamics #cond-mat.other

paper · pdf · doi:10.1103/physrevlett.94.025301

published as Phys. Rev. Lett. 94, 025301 (2005) · 4 pages, RevTex

arxiv created 2004/10/08 · openalex publication_date 2005/01/18 · arxiv updated 2010/10/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

A Kolmogorov-type cascade of Kelvin waves-the distortion waves on vortex lines-plays a key part in the relaxation of superfluid turbulence at low temperatures. We propose an efficient numeric scheme for simulating the Kelvin-wave cascade on a single vortex line. This idea is likely to be generalizable for a full-scale simulation of different regimes of superfluid turbulence. With the new scheme, we are able to unambiguously resolve the cascade spectrum exponent, and thus to settle the controversy between recent simulations of Vinen, Tsubota, and Mitani [Phys. Rev. Lett. 91, 135301 (2003)]] and recently developed analytic theory [Phys. Rev. Lett. 92, 035301 (2004)]].

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