Kelvin-wave cascade in the vortex filament model


The small-scale 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 (KWs) 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 KWs to date and show, using a specially designed numerical algorithm incorporating the full Biot-Savart equation, that our results are consistent with the nonlocal six-wave KW interactions as proposed by L'vov and Nazarenko.

Publication DOI:
Divisions: College of Engineering & Physical Sciences
Publication ISSN: 1550-235X
Last Modified: 18 Jun 2024 07:14
Date Deposited: 26 Jul 2016 09:05
Full Text Link: http://journals ... sRevB.89.014504
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PURE Output Type: Article
Published Date: 2014-01-09
Submitted Date: 2013-11-07
Authors: Baggaley, Andrew W.
Laurie, Jason (ORCID Profile 0000-0002-3621-6052)



Version: Accepted Version

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