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

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

2004-08-11

arxiv.org/abs/cond-mat/0408241v5

Phys. Rev. Lett. 94, 025301 (2005)

Physics

Condensed Matter

Other Condensed Matter

4 pages, RevTex

Scientific paper

10.1103/PhysRevLett.94.025301

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. The 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 [1] and recently developed analytic theory [2]. [1] W.F. Vinen, M. Tsubota and A. Mitani, Phys. Rev. Lett. 91, 135301 (2003). [2] E.V. Kozik and B.V. Svistunov, Phys. Rev. Lett. 92, 035301 (2004).

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