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arXiv 1802.09607astro-ph.SRphysics.flu-dyn
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分层湍流对流模拟中的小尺度发电机

Small-scale dynamos in simulations of stratified turbulent convection

Petri J. Käpylä, Maarit J. Käpylä, Axel Brandenburg

摘要:

小规模的发电机行动往往被认为是造成宁静的太阳磁场。我们的目的是确定在非旋转湍流对流在低磁普朗特数的小规模发电机的激励条件和饱和水平。我们使用高分辨率的直接数值模拟弱分层湍流对流。我们发现,发电机激励的临界磁雷诺数增加的磁普朗特数减少,这可能表明,小规模的发电机行动是不自动明显的机构与小磁普朗特数的太阳。作为磁雷诺数(${\rm Rm}$)的函数,发电机的增长率是一致的${\rm Rm}^{1/2}$缩放。未发现${\rm Rm}$的生长速率对数增加的证据。

英文摘要:

Small-scale dynamo action is often held responsible for the generation of quiet-Sun magnetic fields. We aim to determine the excitation conditions and saturation level of small-scale dynamos in non-rotating turbulent convection at low magnetic Prandtl numbers. We use high resolution direct numerical simulations of weakly stratified turbulent convection. We find that the critical magnetic Reynolds number for dynamo excitation increases as the magnetic Prandtl number is decreased, which might suggest that small-scale dynamo action is not automatically evident in bodies with small magnetic Prandtl numbers as the Sun. As a function of the magnetic Reynolds number (${\rm Rm}$), the growth rate of the dynamo is consistent with an ${\rm Rm}^{1/2}$ scaling. No evidence for a logarithmic increase of the growth rate with ${\rm Rm}$ is found.

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