Abstract
We have studied the voltage distribution for a two-component random mixture of conductances σa and σb. A scaling theory is developed for the moments of the distribution, which predicts, for small values ofh=σa/σb, an infinite number of crossover exponents, one for each moment, for Euclidean dimensiond >2, and only one crossover exponent ford=2. Monte Carlo results on the square lattice confirm this prediction.
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de Arcangelis, L., Coniglio, A. Infinite hierarchy of exponents in a two-component random resistor network. J Stat Phys 48, 935–942 (1987). https://doi.org/10.1007/BF01019704
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DOI: https://doi.org/10.1007/BF01019704