Article Dans Une Revue Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal Année : 2009

Giant Hall Effect in Composites

Résumé

This paper deals with the homogenization of the Hall effect in three-dimensional composites. We prove that the homogenized Hall coefficients are bounded from above by means of prescribed bounds on the local conductivity and the local Hall coefficient. Then, three microstruc-tures of different nature are presented in order to show that arbitrarily large effective Hall coefficients may be obtained in dimension three if the previous prescribed bounds do not hold.

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hal-01427898 , version 1 (06-01-2017)

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Marc Briane, Graeme W Milton. Giant Hall Effect in Composites. Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 2009, 7 (3), pp.1405-1427. ⟨10.1137/08073189X⟩. ⟨hal-01427898⟩
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