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The residual energy in freely decaying magnetohydrodynamic turbulence

Wolf-Christian Müller, Roland Grappin2004年Plasma Physics and Controlled FusionIF 2.2出版社

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, , 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.

日本語訳

非圧縮性磁気流体力学(MHD)乱流に対する渦減衰準正規マルコフ近似の枠組みにおいて、残留エネルギー・スペクトルの慣性領域スケーリングに関する予測が得られる。このスケーリングは、これまでの理論的結果とは矛盾するものの、非螺旋性減衰MHD乱流の高分解能直接数値シミュレーションと一致することが示される。その根底にある物理は、小規模ダイナモとアルフヴェン効果の動的準平衡を主張するものである。

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Magnetohydrodynamics
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