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

@article{Briane2009HomogenizationOT,
title={Homogenization of the Three-dimensional Hall Effect and Change of Sign of the Hall Coefficient},
author={M. Briane and G. Milton},
journal={Archive for Rational Mechanics and Analysis},
year={2009},
volume={193},
pages={715-736}
}

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 H-convergence of Murat–Tartar. Extending a result of Bergman, we show that the Hall matrix can be computed from the corrector associated with the homogenization problem when no magnetic field is present. Finally… CONTINUE READING