English

Phenomenologies of intermittent Hall MHD turbulence

Analysis of PDEs 2020-12-22 v1

Abstract

We introduce the concept of intermittency dimension for the magnetohydrodynamics (MHD) to quantify the intermittency effect. With dependence on the intermittency dimension, we derive phenomenological laws for intermittent MHD turbulence with and without the Hall effect. In particular, scaling laws of dissipation wavenumber, energy spectra and structure functions are predicted. Moreover, we are able to provide estimates for energy spectra and structure functions which are consistent with the predicted scalings.

Keywords

Cite

@article{arxiv.2012.10781,
  title  = {Phenomenologies of intermittent Hall MHD turbulence},
  author = {Mimi Dai},
  journal= {arXiv preprint arXiv:2012.10781},
  year   = {2020}
}

Comments

27 pages, 6 figures