A lower bound on the variance of conductance in random resistor networks |
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Authors: | Jan Wehr |
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Institution: | (1) Department of Mathematics, University of Arizona, 85721 Tucson, Arizona |
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Abstract: | We study the conductance of random resistor networks ind2 dimensions. It is shown (under some technical assumptions) that if a network exhibits a nonzero conductivity in the infinite-volume limit, then the variance of a finite-volume conductance grows at least like the volume. |
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Keywords: | Random media conductivity fluctuations variance bounds |
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