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| HAL: hal-00372692, version 1 |
| DOI: 10.1016/j.jmaa.2007.07.044 |
| Detailed view |  Export this paper |
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| Journal of Mathematical Analysis and applications 339, 2 (2008) 1468-1484 |
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| Homogenization of the two-dimensional Hall effect |
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| Marc Briane 1David Manceau 1 |
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| (2008) |
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| In this paper, we study the two-dimensional Hall effect in a highly heterogeneous conducting material in the low magnetic field limit. Extending Bergman's approach in the framework of H-convergence we obtain the effective Hall coefficient which only depends on the corrector of the material resistivity in the absence of a magnetic field. A positivity property satisfied by the effective Hall coefficient is then deduced from the homogenization process. An explicit formula for the effective Hall coefficient is derived for anisotropic interchangeable two-phase composites |
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| 1: | Institut de Recherche Mathématique de Rennes (IRMAR) |
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CNRS : UMR6625 – Université de Rennes 1 – École normale supérieure de Cachan - ENS Cachan – Institut National des Sciences Appliquées (INSA) : - RENNES – Université de Rennes II - Haute Bretagne |
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| 2: | Department of Mathematics - University of Utah |
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University of Utah |
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| 3: | Department of Mathematics |
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University of Utah |
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| Subject | : | Mathematics/Numerical Analysis |
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| Homogenization – Hall effect – Dimension two – Two-phase composite |
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| hal-00372692, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00372692 | |
| oai:hal.archives-ouvertes.fr:hal-00372692 | |
| From: Dominique Hervé | |
| Submitted on: Thursday, 2 April 2009 09:22:44 | |
| Updated on: Thursday, 25 February 2010 17:14:09 | |
