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低磁普朗特数下的磁动力发电机作用。

Magnetic dynamo action at low magnetic Prandtl numbers.

机构信息

Department of Astronomy and Astrophysics, University of Chicago, 5640 South Ellis Avenue, Chicago, Illinois 60637, USA.

出版信息

Phys Rev Lett. 2010 Nov 19;105(21):215002. doi: 10.1103/PhysRevLett.105.215002. Epub 2010 Nov 17.

Abstract

Amplification of magnetic field due to kinematic turbulent dynamo action is studied in the regime of small magnetic Prandtl numbers. Such a regime is relevant for planets and stars interiors, as well as for liquid-metal laboratory experiments. A comprehensive analysis based on the Kazantsev-Kraichnan model is reported, which establishes the dynamo threshold and the dynamo growth rates for varying kinetic helicity of turbulent fluctuations. It is proposed that in contrast with the case of large magnetic Prandtl numbers, the kinematic dynamo action at small magnetic Prandtl numbers is significantly affected by kinetic helicity, and it can be made quite efficient with an appropriate choice of the helicity spectrum.

摘要

由于运动学湍动发电机效应而导致的磁场放大在小磁普朗特数的情况下进行研究。这种情况与行星和恒星内部以及液态金属实验室实验有关。基于 Kazantsev-Kraichnan 模型进行了全面分析,该模型确定了随湍动波动的动理学螺旋变化的发电机阈值和增长率。据提出,与大磁普朗特数的情况相反,在小磁普朗特数的情况下,运动学发电机效应受到动理学螺旋的显著影响,并且通过适当选择螺旋谱,可以使其非常有效。

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