Kelvin-wave cascade in the vortex filament model

Baggaley, A.W. and Laurie, J. (2014) Kelvin-wave cascade in the vortex filament model. Physical Review B, 89(1), 014504. (doi: 10.1103/PhysRevB.89.014504)

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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.

Item Type:Articles
Glasgow Author(s) Enlighten ID:Baggaley, Dr Andrew and Laurie, Mr John
Authors: Baggaley, A.W., and Laurie, J.
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
College of Medical Veterinary and Life Sciences > School of Biodiversity, One Health & Veterinary Medicine
Journal Name:Physical Review B
Publisher:American Physical Society
ISSN (Online):1550-235X

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