2020/09/30 by Tomohiro Tanogami · 1 citation
Physics and Astronomy · #physics.flu-dyn #cond-mat.other
paper · pdf · doi:10.1103/physreve.103.023106
published as Phys. Rev. E 103, 023106 (2021) · 20 pages, 2 figures. Minor revisions are made in ver. 3
arxiv created 2021/01/27 · arxiv updated 2021/02/24
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 ℓi, the Richardson cascade becomes dominant, whereas at scales much smaller than ℓi, 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.