Theoretical analysis of quantum turbulence using the Onsager ideal turbulence theory

Tomohiro Tanogami
Phys. Rev. E 103, 023106 – Published 18 February 2021

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 i, the Richardson cascade becomes dominant, whereas at scales much smaller than i, another type of cascade is induced by quantum stress. We then evaluate the corresponding velocity power spectrum using a phenomenological argument. The relation between this cascade, which we call quantum stress cascade, and the Kelvin-wave cascade is also discussed.

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  • Received 23 October 2020
  • Accepted 27 January 2021

DOI:https://doi.org/10.1103/PhysRevE.103.023106

©2021 American Physical Society

Physics Subject Headings (PhySH)

Fluid DynamicsNonlinear DynamicsCondensed Matter, Materials & Applied Physics

Authors & Affiliations

Tomohiro Tanogami*

  • Department of Physics, Kyoto University, Kyoto 606-8502, Japan

  • *tanogami.tomohiro.84c@st.kyoto-u.ac.jp

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Vol. 103, Iss. 2 — February 2021

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