Theoretical analysis of quantum turbulence using the Onsager "ideal turbulence" theory
arXiv:2009.11057 · doi:10.1103/PhysRevE.103.023106
Abstract
We investigate three-dimensional quantum turbulence as described by the Gross-Pitaevskii model using the analytical method exploited in the Onsager "ideal turbulence" theory. We derive the scale-independence of the scale-to-scale kinetic energy flux and establish a double-cascade scenario: at scales much larger than the mean intervortex , the Richardson cascade becomes dominant, whereas at scales much smaller than , another type of cascade is induced by quantum stress. We then evaluate the corresponding velocity power spectrum using a phenomenological argument. The relation between the novel cascade, which we call quantum stress cascade, and the Kelvin-wave cascade is also discussed.
arXiv comment20 pages, 2 figures. Minor revisions are made in ver. 3
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