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

Journal of Physics A Mathematical and Theoretical 2026 Open access

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Authors: Sugan Durai Murugan, Giorgio Krstulovic, Dario Vincenzi, Samriddhi Sankar Ray
DOI: 10.1088/1751-8121/ae6d55
Cited by: 0
References: 37

Abstract

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.

Fields of Study & Subjects

Geomagnetism and Paleomagnetism Studies Structural Analysis and Optimization Fluid dynamics and aerodynamics studies

Publication details

Journal / source
Journal of Physics A Mathematical and Theoretical
Publisher
IOP Publishing
Volume
59
Issue
21
Pages
215702–215702
Publication date
13 May 2026
Language
EN