An upper critical dimension for dynamo action: A d-dimensional closure model study
t-d diagram of critical dimensions for dynamo action. Light colors correspond to sustained non-linear dynamo action.
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 dL and upper dU 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.
Type
Publication
arXiv:2408.01266