Energy decay laws in strongly anisotropic MHD turbulence

Abstract

We investigate the influence of a uniform magnetic field ${\mathbf{B}}_0=B_{0}e//$ on energy decay laws in incompressible magnetohydrodynamic (MHD) turbulence. The nonlinear transfer reduction along $B_0$ is included in a model that distinguishes parallel and perpendicular directions, following a phenomenology {\it à la} Kraichnan. We predict a slowing down of the energy decay due to anisotropy in the limit of strong $B_0$, with distinct power laws for energy decay of shear- and pseudo-Alfvén waves. Numerical results from the kinetic equations of Alfvén wave turbulence recover these predictions, and MHD numerical results clearly tend to follow them in the lowest perpendicular planes.

arXiv comment4 pages, 3 figures

References in corpus (4)

• A weak turbulence theory for incompressible MHD
• Simulations of MHD Turbulence in a Strongly Magnetized Medium
• Weak compressible magnetohydrodynamic turbulence in the solar corona
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