Temperature suppression of Kelvin-wave turbulence in superfluids

Abstract

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