Dynamic percolation in microemulsions

Abstract

We study a model for dynamic percolation relevant to the electrical conductivity of water in oil microemulsions. The charge carriers reside on percolation cluster sites and can propagate by hopping between nearest-neighbor sites. The cluster sites also undergo diffusion, so that the clusters continuously rearrange themselves. The conductivity below the percolation threshold pc is finite and, as ppc, increases as pc-p-s where s differs from the static exponent s. In the neighborhood of pc, the conductivity depends as a power law on the rate of cluster rearrangement. © 1986 The American Physical Society.