An upper critical dimension for dynamo action: A $d$-dimensional closure model study

Fuente: arXiv
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Autori principali: Murugan, Sugan Durai, Krstulovic, Giorgio, Vincenzi, Dario, Ray, Samriddhi Sankar
Natura: Preprint
Pubblicazione: 2024
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author Murugan, Sugan Durai
Krstulovic, Giorgio
Vincenzi, Dario
Ray, Samriddhi Sankar
author_facet Murugan, Sugan Durai
Krstulovic, Giorgio
Vincenzi, Dario
Ray, Samriddhi Sankar
contents We construct a $d$-dimensional Eddy Damped Quasi-Normal Markovian (EDQNM) Closure Model to study dynamo action in arbitrary dimensions. In particular, we find lower $d_L$ and upper $d_U$ 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.
format Preprint
id arxiv_https___arxiv_org_abs_2408_01266
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle An upper critical dimension for dynamo action: A $d$-dimensional closure model study
Murugan, Sugan Durai
Krstulovic, Giorgio
Vincenzi, Dario
Ray, Samriddhi Sankar
Plasma Physics
Solar and Stellar Astrophysics
Chaotic Dynamics
We construct a $d$-dimensional Eddy Damped Quasi-Normal Markovian (EDQNM) Closure Model to study dynamo action in arbitrary dimensions. In particular, we find lower $d_L$ and upper $d_U$ 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.
title An upper critical dimension for dynamo action: A $d$-dimensional closure model study
topic Plasma Physics
Solar and Stellar Astrophysics
Chaotic Dynamics
url https://arxiv.org/abs/2408.01266