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arXiv 0812.3269astro-ph
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剪切发电机问题:准线性运动学理论

Shear dynamo problem: Quasilinear kinematic theory

S. Sridhar, Kandaswamy Subramanian

摘要:

本文研究了线性剪切流中湍流引起的大尺度发电机效应。我们的处理是准线性的和运动的,但在剪切强度是非微扰的。利用剪切坐标变换和线性剪切流的伽利略不变性,导出了平均磁场演化的积分微分方程。对于非螺旋湍流,平均场的交叉切变分量的时间演化不依赖于除其自身外的任何其它分量。这对任何伽利略不变的速度场都是有效的,与其动力学无关。因此,剪切电流辅助发电机基本上是不存在的,虽然大规模的非螺旋发电机的行动不排除。

英文摘要:

Large-scale dynamo action due to turbulence in the presence of a linear shear flow is studied. Our treatment is quasilinear and kinematic but is non perturbative in the shear strength. We derive the integro-differential equation for the evolution of the mean magnetic field, by systematic use of the shearing coordinate transformation and the Galilean invariance of the linear shear flow. For non helical turbulence the time evolution of the cross-shear components of the mean field do not depend on any other components excepting themselves. This is valid for any Galilean-invariant velocity field, independent of its dynamics. Hence the shear-current assisted dynamo is essentially absent, although large-scale non helical dynamo action is not ruled out.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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