English

Multiscaling in superfluid turbulence: A shell-model study

Chaotic Dynamics 2016-10-12 v2 Quantum Gases Statistical Mechanics Fluid Dynamics

Abstract

We examine the multiscaling behavior of the normal- and superfluid-velocity structure functions in three-dimensional superfluid turbulence by using a shell model for the three-dimensional (3D) Hall-Vinen-Bekharevich-Khalatnikov (HVBK) equations. Our 3D-HVBK shell model is based on the Gledzer-Okhitani-Yamada (GOY) shell model. We examine the dependence of the multiscaling exponents on the normal-fluid fraction and the mutual-friction coefficients. Our extensive study of the 3D-HVBK shell model shows that the multiscaling behavior of the velocity structure functions in superfluid turbulence is more complicated than it is in fluid turbulence.

Keywords

Cite

@article{arxiv.1508.00448,
  title  = {Multiscaling in superfluid turbulence: A shell-model study},
  author = {Vishwanath Shukla and Rahul Pandit},
  journal= {arXiv preprint arXiv:1508.00448},
  year   = {2016}
}

Comments

12 pages, 6 figures

R2 v1 2026-06-22T10:25:05.292Z