An upper critical dimension for dynamo action: A $d$-dimensional closure model study
Plasma Physics
2024-08-05 v1 Solar and Stellar Astrophysics
Chaotic Dynamics
Abstract
We construct a -dimensional Eddy Damped Quasi-Normal Markovian (EDQNM) Closure Model to study dynamo action in arbitrary dimensions. In particular, we find lower and upper critical dimensions for sustained dynamo action in this incompressible problem. Our model is adaptable for future studies incorporating helicity, compressible effects and a wide range of magnetic Reynolds and Prandtl numbers.
Keywords
Cite
@article{arxiv.2408.01266,
title = {An upper critical dimension for dynamo action: A $d$-dimensional closure model study},
author = {Sugan Durai Murugan and Giorgio Krstulovic and Dario Vincenzi and Samriddhi Sankar Ray},
journal= {arXiv preprint arXiv:2408.01266},
year = {2024}
}
Comments
15 pages, 5 figures