论文标题

具有各向异性电导率的轴对称发电机是可能的

Axisymmetric dynamo action is possible with anisotropic conductivity

论文作者

Plunian, Franck, Alboussière, Thierry

论文摘要

Dynamo理论的一个里程碑是Cowling的定理,以现代形式称为轴对称速度场不可能通过Dynamo动作生成轴对称磁场的可能性。使用各向异性电导率,我们表明轴对称发电机实际上是可能的,具有像固体旋转一样简单的运动。最重要的是,不稳定性分析可以完全分析进行,从而导致发电机阈值的明确表达,这是发电机理论中唯一的例子。

A milestone of dynamo theory is Cowling's theorem, known in its modern form as the impossibility for an axisymmetric velocity field to generate an axisymmetric magnetic field by dynamo action. Using an anisotropic electrical conductivity we show that an axisymmetric dynamo is in fact possible with a motion as simple as solid body rotation. On top of that the instability analysis can be conducted entirely analytically, leading to an explicit expression of the dynamo threshold which is the only example in dynamo theory.

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