Temperature suppression of Kelvin-wave turbulence in superfluids
Department of Chemical Physics, Weizmann Institute of Science - Rehovot 76100, Israel
Received: 2 May 2012
Accepted: 21 July 2012
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.
PACS: 67.25.dk – Vortices and turbulence / 47.37.+q – Hydrodynamic aspects of superfluidity; quantum fluids / 67.10.Fj – Quantum statistical theory
© EPLA, 2012