Mutual-friction-driven turbulent statistics in the hydrodynamic regime of superfluid He3-B

Kishore Dutta
Phys. Rev. E 99, 033111 – Published 13 March 2019

Abstract

It is well known that the turbulence that evolves from the tangles of vortices in quantum fluids at scales larger than the typical quantized vortex spacing has a close resemblance with classical turbulence. The temperature-dependent mutual friction parameter α(T) drives the turbulent statistics in the hydrodynamic regime of quantum fluids that involves a self-similar cascade of energy. From a simple theoretical analysis, here we show that superfluid He3-B in the presence of mutual damping exhibits a k5/3 Kolmogorov energy spectrum in the entire inertial range <r<L at temperature T0.2Tc, while at T0.2Tc dissipation begins to dominate larger eddies exhibiting a k3 spectrum toward the energy pumping scale L. At T0.35Tc, eddies of all size, being highly affected by damping, exhibit a k3 spectrum in the entire inertial range. The consistency of this result with the predictions of recent direct numerical simulations indicates that the present theoretical framework is applicable in quantifying the hydrodynamic regime of quantum turbulence.

  • Figure
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  • Received 20 February 2018
  • Revised 5 April 2018

DOI:https://doi.org/10.1103/PhysRevE.99.033111

©2019 American Physical Society

Physics Subject Headings (PhySH)

Fluid Dynamics

Authors & Affiliations

Kishore Dutta*

  • Department of Physics, Handique Girls' College, Guwahati 781 001, India

  • *kdkishore77@gmail.com

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Issue

Vol. 99, Iss. 3 — March 2019

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