Conductivity exponents at the percolation threshold

2016/08/28 by Clinton DeW. Van Siclen, Van Siclen, Clinton DeW.
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Statistical Mechanics (cond-mat.stat-mech) #Stochastic processes and statistical mechanics #Surface and Thin Film Phenomena #Theoretical and Computational Physics

paper · pdf · doi:10.48550/arxiv.1609.01229

openalex publication_date 2016/08/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Connections are found between the two-component percolation problem and the conductor/insulator percolation problem. These produce relations between critical exponents, and suggest formulae connecting the conductivity exponents in different dimensions. Values for the critical exponents are obtained from calculations on the incipient infinite cluster in two and three dimensions.

Citations

• Critical exponents for the conductivity of random resistor lattices

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