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arXiv · 2408.01266

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

Sugan Durai Murugan·Giorgio Krstulovic·Dario Vincenzi·Samriddhi Sankar Ray
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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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Sugan Durai Murugan, Giorgio Krstulovic, Dario Vincenzi, Samriddhi Sankar Ray. 2024-08-02. An upper critical dimension for dynamo action: A $d$-dimensional closure model study. https://doi.org/10.1088/1751-8121%2Fae6d55

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