Homogenization of the Three-dimensional Hall Effect and Change of Sign of the Hall Coefficient

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Homogenization of the three-dimensional Hall effect and change of sign of the Hall coefficient

The notion of a Hall matrix, associated with a possibly anisotropic conducting material in the presence of a small magnetic field, is introduced. Then, for any material having a microstructure we prove a general homogenization result satisfied by the Hall matrix in the framework of the Hconvergence of Murat-Tartar. Extending a result of Bergman, it is shown that the Hall matrix can be computed ...

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ژورنال

عنوان ژورنال: Archive for Rational Mechanics and Analysis

سال: 2008

ISSN: 0003-9527,1432-0673

DOI: 10.1007/s00205-008-0200-y