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Energy Decay Laws in Strongly Anisotropic Magnetohydrodynamic Turbulence

2007/12/12 by Barbara Bigot, Sébastien Galtier, Sebastien Galtier +2 · 4 citations
Engineering · Physics and Astronomy · #Fluid Dynamics and Turbulent Flows #Ionosphere and magnetosphere dynamics #Solar and Space Plasma Dynamics #physics.flu-dyn #physics.plasm-ph

paper · pdf · doi:10.1103/physrevlett.100.074502

4 pages, 3 figures

arxiv created 2007/12/12 · openalex publication_date 2008/02/19 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We investigate the influence of a uniform magnetic field B(0)=B(0)e( parallel) 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 of 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.

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