用差速旋转法制备的轴对称发电机action,具有各向异性的电导率和各向异性的磁导率
Axisymmetric dynamo action produced by differential rotation, with anisotropic electrical conductivity and anisotropic magnetic permeability
摘要:
考虑了与各向异性磁导率共轭的各向异性电导率对发电机作用的影响。发电机不仅是完全轴对称的,而且它只需要一个简单的微分旋转,这两次挑战了成熟的发电机理论。稳定性分析进行完全解析,导致发电机阈值的明确表达。结果表明,电导率各向异性和磁导率各向异性之间存在竞争,当两种各向异性相同时,发电机效应是不可能的。对于各向同性的电导率,考林的中性点论证确实意味着电流密度的方位角分量的缺失,但只要磁导率是各向异性的,就不能阻止发电机效应。
英文摘要:
The effect on dynamo action of an anisotropic electrical conductivity conjugated to an anisotropic magnetic permeability is considered. Not only is the dynamo fully axisymmetric, but it requires only a simple differential rotation, which twice challenges the well-established dynamo theory. Stability analysis is conducted entirely analytically, leading to an explicit expression of the dynamo threshold. The results show a competition between the anisotropy of electrical conductivity and that of magnetic permeability, the dynamo effect becoming impossible if the two anisotropies are identical. For isotropic electrical conductivity, Cowling's neutral point argument does imply the absence of an azimuthal component of current density, but does not prevent the dynamo effect as long as the magnetic permeability is anisotropic.
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