Temperature suppression of Kelvin-wave turbulence in superfluids

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.

References in corpus (2)

• Rapid Cooling of the Neutron Star in Cassiopeia A Triggered by Neutron Superfluidity in Dense Matter
• Scanning Superfluid-Turbulence Cascade by Its Low-Temperature Cutoff

Cited by in corpus (9)

• Cascades and transitions in turbulent flows
• Structure of quantum vortex tangle in He-4 counterflow turbulence
• Energy and Vorticity Spectra in Turbulent Superfluid ${}^4$He from $T=0$ to $T_{\lambda }$
• Rotating quantum turbulence in the unitary Fermi gas
• Rotating quantum wave turbulence
• Dissipation enhancement from a single vortex reconnection in superfluid helium
• Kelvin waves and the decay of quantum superfluid turbulence
• Quantum turbulence in superfluids with wall-clamped normal component
• Kelvin waves from vortex reconnection in superfluid helium at low temperatures