Kelvin Wave Cascade and Decay of Superfluid Turbulence

Details Kelvin Wave Cascade and Decay of Superfluid Turbulence Kelvin Wave Cascade and Decay of Superfluid Turbulence

2003-08-10

arxiv.org/abs/cond-mat/0308193v1

Physics

Condensed Matter

4 pages, RevTeX

Scientific paper

10.1103/PhysRevLett.92.035301

Kelvin waves (kelvons)--the distortion waves on vortex lines--play a key part in the relaxation of superfluid turbulence at low temperatures. We present a weak-turbulence theory of kelvons. We show that non-trivial kinetics arises only beyond the local-induction approximation and is governed by three-kelvon collisions; corresponding kinetic equation is derived. On the basis of the kinetic equation, we prove the existence of Kolmogorov cascade and find its spectrum. The qualitative analysis is corroborated by numeric study of the kinetic equation. The application of the results to the theory of superfluid turbulence is discussed.

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