English

Temperature suppression of Kelvin-wave turbulence in superfluids

Statistical Mechanics 2015-06-05 v3 Other Condensed Matter Fluid Dynamics

Abstract

Kelvin waves propagating on quantum vortices play a crucial role in the phenomenology of energy dissipation of superfluid turbulence. Previous theoretical studies have consistently focused on the zero-temperature limit of the statistical physics of Kelvin-wave turbulence. In this letter, we go beyond this athermal limit by introducing a small but finite temperature in the form of non-zero mutual friction dissipative force; A situation regularly encountered in actual experiments of superfluid turbulence. In this case we show that there exists a new typical length-scale separating a quasi-inertial range of Kelvin wave turbulence from a far dissipation range. The letter culminates with analytical predictions for the energy spectrum of the Kelvin-wave turbulence in both of these regimes.

Keywords

Cite

@article{arxiv.1205.0461,
  title  = {Temperature suppression of Kelvin-wave turbulence in superfluids},
  author = {Laurent Boué and Victor L'vov and Itamar Procaccia},
  journal= {arXiv preprint arXiv:1205.0461},
  year   = {2015}
}