A non local shell model of turbulent dynamo

Details A non local shell model of turbulent dynamo A non local shell model of turbulent dynamo

2007-01-11

arxiv.org/abs/physics/0701141v1

Physics

Fluid Dynamics

23 pages, color figures, submitted to NJP

Scientific paper

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.

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