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

2024/08/02 by Murugan, Sugan Durai, Krstulovic, Giorgio, Vincenzi, Dario +1
#Chaotic Dynamics (nlin.CD) #FOS: Physical sciences #Plasma Physics (physics.plasm-ph) #Solar and Stellar Astrophysics (astro-ph.SR)

paper · doi:10.48550/arxiv.2408.01266

Abstract

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.

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