Abstract
We study the conductance of random resistor networks ind≥2 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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Communicated by J. L. Lebowitz
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Wehr, J. A lower bound on the variance of conductance in random resistor networks. J Stat Phys 86, 1359–1365 (1997). https://doi.org/10.1007/BF02183627
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DOI: https://doi.org/10.1007/BF02183627