Cascades and dissipation ratio in rotating MHD turbulence at low magnetic Prandtl number

Details Cascades and dissipation ratio in rotating MHD turbulence at low magnetic Prandtl number Cascades and dissipation ratio in rotating MHD turbulence at low magnetic Prandtl number

2010-09-18

arxiv.org/abs/1009.3549v2

Phys.Rev.E82:046311,2010

Physics

Fluid Dynamics

5 figures, 1 table, appear in PRE

Scientific paper

10.1103/PhysRevE.82.046311

A phenomenology of isotropic magnetohydrodynamic turbulence subject to both rotation and applied magnetic field is presented. It is assumed that the triple correlations decay-time is the shortest between the eddy turn-over time and the ones associated to the rotating frequency and Alfv\'en wave period. For $Pm=1$ it leads to four kinds of piecewise spectra, depending on the four parameters, injection rate of energy, magnetic diffusivity, rotation rate and applied field. With a shell model of MHD turbulence (including rotation and applied magnetic field), spectra for $Pm \le 1$ are presented, together with the ratio between magnetic and viscous dissipation.

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