Diffusion scaling through structural templates given by the 3d dynamic Ising model

Abstract

We present new results describing diffusion through networks exhibiting dynamic disorder where diffusion ‘pathways’ are found from dynamic structures obtained from kinetic Monte Carlo (KMC) computer simulations consistent with Kawasaki dynamics in the 3d Ising lattice model.Our simulation results for the diffusion/conductance scaling exponent s are in excellent accord with the most widely quoted theoretical value s=2ν-β, where ν and β are 3d static percolation exponents in cubic lattices. This is in contrast to experimentally obtained values for this scaling exponent where there appears to be substantial disparity between many of these prior published results.