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}
}
  • M. Briane, G. Milton
  • Published 2009
  • Mathematics
  • Archive for Rational Mechanics and Analysis
  • 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
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