Phenomenology of turbulent dynamo growth and saturation

Abstract

With a non local shell model of magnetohydrodynamic turbulence we investigate numerically the turbulent dynamo action for low and high magnetic Prandtl numbers ($Pm$). The results obtained in the kinematic regime and along the way to dynamo saturation are understood in terms of a phenomenological approach based on the local ($Pm\ll 1$) or non local ($Pm\gg 1$) nature of the energy transfers. In both cases the magnetic energy grows at small scale and saturates as an inverse `` cascade ''.

17 pages, 6 figures, submitted to ApJ

References in corpus (2)

• Is nonhelical hydromagnetic turbulence peaked at small scales?
• Multi-scale Hall-MHD turbulence in the solar wind

Cited by in corpus (5)

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• Energy transfers in dynamos with small magnetic Prandtl numbers
• Transition from large-scale to small-scale dynamo
• Cascades and dissipation ratio in rotating MHD turbulence at low magnetic Prandtl number