Anomalous crossover behaviors in the two-component random resistor network

K.W. Yu and P.Y. Tong

Physica A: Statistical Mechanics and its Applications, 1994, vol. 205, issue 1, 407-411

Abstract: It has been found from numerical simulation that the minimum current in the two-component random resistor network at percolation scales anomalously with the ratio h of poor to good conductances, Imin(h)≈exp(−constant × (lnh)2). Exact analytic calculations in the hierarchical diamond lattice confirm the result. The exponential prefactor is analogous to the behavior of left-sided multifractality in diffusion limited aggregations.

Date: 1994
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:205:y:1994:i:1:p:407-411

DOI: 10.1016/0378-4371(94)90519-3

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