Systematics of Dynamo Action in a Shell Model for Magnetohydrodynamic Turbulence

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Scientific paper

We carry out high-resolution studies of the dynamo effect in a shell model for magnetohydrodynamic (MHD) turbulence at low magnetic Prandtl numbers (as low as 105). We present the stability diagram for the formation of a turbulent dynamo in this MHD shell model in magnetic Prandtl number and magnetic Reynolds number plane. Our systematic numerical studies show that a fractal-like boundary separates the dynamo and no dynamo regimes in this plane.

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