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Strong-field magneto-transport in a composite electrical conductor: Exact asymptotic results

机译:复合导体中的强磁场磁传输:精确渐近结果

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摘要

When the Hall resistivities of all the constituents of a composite conductor are much greater than the corresponding Ohmic resistivities, the local electric field and current distributions in the system become simpler than in the absence of a magnetic field. Simple, exact, closed-form asymptotic expressions are consequently found for some elements of the macroscopic resistivity tensor of a composite conductor with arbitrary microstructure. Two critical points are identified in the macroscopic response of a composite with a disordered microstructure that does not have to be isotropic.
机译:当复合导体的所有成分的霍尔电阻率远大于对应的欧姆电阻率时,系统中的局部电场和电流分布会比没有磁场时更简单。因此,对于具有任意微结构的复合导体的宏观电阻率张量的某些元素,发现了简单,精确,闭合形式的渐近表达式。在具有无序各向同性的无序微观结构的复合材料的宏观响应中,确定了两个临界点。

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