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A lower bound on the variance of conductance in random resistor networks
Authors:Jan Wehr
Institution:(1) Department of Mathematics, University of Arizona, 85721 Tucson, Arizona
Abstract:We study the conductance of random resistor networks indge2 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.
Keywords:Random media  conductivity  fluctuations  variance bounds
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