The Kelvin-wave cascade in the vortex filament model

Abstract

The energy transfer mechanism in zero temperature superfluid turbulence of helium-4 is still a widely debated topic. Currently, the main hypothesis is that weakly nonlinear interacting Kelvin waves transfer energy to sufficiently small scales such that energy is dissipated as heat via phonon excitations. Theoretically, there are at least two proposed theories for Kelvin-wave interactions. We perform the most comprehensive numerical simulation of weakly nonlinear interacting Kelvin-waves to date and show, using a specially designed numerical algorithm incorporating the full Biot-Savart equation, that our results are consistent with nonlocal six-wave Kelvin wave interactions as proposed by L'vov and Nazarenko.

6 pages, 6 figures

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Cited by in corpus (20)

• Introduction to quantum turbulence
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• Numerical Studies of Quantum Turbulence
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• Energy and Vorticity Spectra in Turbulent Superfluid ${}^4$He from $T=0$ to $T_{\lambda }$
• Spatio-temporal detection of Kelvin waves in quantum turbulence simulations
• Kelvin waves and the decay of quantum superfluid turbulence
• Kolmogorov and Kelvin wave cascades in a generalized model for quantum turbulence
• Nanomechanical resonators for cryogenic research
• Amplitude of waves in the Kelvin-wave cascade
• Direct excitation of Kelvin waves on quantized vortices
• Glitches: the exact quantum signatures of pulsars metamorphosis
• A note on the propagation of quantized vortex rings through a quantum turbulence tangle: Energy transport or energy dissipation?
• Active and finite-size particles in decaying quantum turbulence at low temperature
• Inviscid diffusion of vorticity in low temperature superfluid helium
• Kelvin waves in nonequilibrium universal dynamics of relativistic scalar field theories
• Evidence for pulsars metamorphism and their possible connection to black holes and dark matter in cosmology
• Coarse-grained pressure dynamics in superfluid turbulence
• Comment on "Amplitude of waves in the Kelvin-wave cascade"
• Quantum vortex driven Kelvin wave in the thermal background of superfluid helium