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Reversal of the Hall coefficient sign under homogenization
Author(s) -
Briane Marc,
Milton Graeme
Publication year - 2007
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200700493
Subject(s) - homogenization (climate) , hall effect , sign (mathematics) , dimension (graph theory) , mathematics , condensed matter physics , physics , mathematical analysis , quantum mechanics , pure mathematics , electrical resistivity and conductivity , biodiversity , ecology , biology
This work deals with the homogenization of the Hall effect in dimension three. The effective Hall coefficient preserves the bounds of the local Hall coefficient in dimension two. This is not the case in dimension three. We present a three‐dimensional composite for which the homogenized Hall coefficient has opposite sign to the local Hall coefficient. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)