Harris, A. BrooksFisch, Ronald2023-05-232023-05-231977-04-112015-08-11https://repository.upenn.edu/handle/20.500.14332/43021We present numerical data and scaling theories for the critical behavior of random resistor networks near the percolation threshold. We determine the critical exponents of a suitably defined resistance correlation function by a Padé analysis of low-concentration expansions as a function of dimensionality. We verify that d=6 is the critical dimensionality for the onset of mean-field behavior. We use the coherent-potential approximation to construct a mean-field scaling function for the critical region.PhysicsArticle