Phenomenologies of intermittent Hall MHD turbulence
Mimi Dai
TL;DR
This paper introduces the intermittency dimension in Hall MHD turbulence, deriving phenomenological laws and providing estimates that align with predicted scalings for energy spectra and structure functions.
Contribution
It presents a novel concept of intermittency dimension for Hall MHD and derives new scaling laws for turbulence with and without the Hall effect.
Findings
Derived phenomenological laws for intermittent MHD turbulence.
Predicted scaling laws for dissipation wavenumber, energy spectra, and structure functions.
Provided estimates consistent with the predicted scalings.
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsSolar and Space Plasma Dynamics · Ionosphere and magnetosphere dynamics · Geomagnetism and Paleomagnetism Studies