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Article Dans Une Revue Plasma Physics and Controlled Fusion Année : 2004

The residual energy in freely decaying magnetohydrodynamic turbulence

Résumé

Within the framework of the eddy-damped quasi-normal Markovian approximation for incompressible isotropic magnetohydrodynamic (MHD) turbulence a prediction for the inertial range scaling of the residual energy spectrum, E^{\rm R}_k=|E_k^{\rm kinetic}-E^{\rm magnetic}_k |\sim k^{-7/3} , is obtained. This scaling, while in contradiction to earlier theoretical results, is shown to be in agreement with high-resolution direct numerical simulations of nonhelical decaying MHD turbulence. The underlying phenomenology states a dynamic quasi-equilibrium of the small-scale turbulent dynamo and the Alfvén effect.
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Dates et versions

hal-03785028 , version 1 (23-09-2022)

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Wolf-Christian Müller, Roland Grappin. The residual energy in freely decaying magnetohydrodynamic turbulence. Plasma Physics and Controlled Fusion, 2004, 46, pp.91-B96. ⟨10.1088/0741-3335/46/12B/008⟩. ⟨hal-03785028⟩
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