A non local shell model of turbulent dynamo
Abstract
We derive a new shell model of magnetohydrodynamic (MHD) turbulence in which the energy transfers are not necessary local. Like the original MHD equations, the model conserves the total energy, magnetic helicity, cross-helicity and volume in phase space (Liouville's theorem) apart from the effects of external forcing, viscous dissipation and magnetic diffusion. In the absence of magnetic field the model exhibits a statistically stationary kinetic energy solution with a Kolmogorov spectrum. The dynamo action from a seed magnetic field by the turbulent flow and the non linear interactions are studied for a wide range of magnetic Prandtl numbers in both kinematic and dynamic cases. The non locality of the energy transfers are clearly identified.
Keywords
Cite
@article{arxiv.physics/0701141,
title = {A non local shell model of turbulent dynamo},
author = {F. Plunian and R. Stepanov},
journal= {arXiv preprint arXiv:physics/0701141},
year = {2009}
}
Comments
23 pages, color figures, submitted to NJP