Energy decay laws in strongly anisotropic magnetohydrodynamic turbulence

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 phenome...

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Bibliographic Details
Published in:Physical review letters 2008-02, Vol.100 (7), p.074502-074502, Article 074502
Main Authors: Bigot, Barbara, Galtier, Sébastien, Politano, Hélène
Format: Article
Language:English
Subjects:
ALFVEN WAVES
ANISOTROPY
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
KINETIC EQUATIONS
MAGNETIC FIELDS
MAGNETOHYDRODYNAMICS
NONLINEAR PROBLEMS
Sciences of the Universe
SLOWING-DOWN
TURBULENCE
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Summary: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.
ISSN:0031-9007
1079-7114
DOI:10.1103/physrevlett.100.074502