Corrections to scaling for diffusion in disordered media
O. F. de Alcantara Bonfim, Manuel Berrondo · Journal of Physics A Mathematical and General · 1989
The authors study the diffusion of a particle in a d-dimensional lattice where disorder arises from a random distribution of waiting times associated with each site of the lattice. Using scaling arguments they derive, in addition to the leading asymptotic behaviour, the correction-to-scaling terms for the mean square displacement. They also perform detailed Monte Carlo simulations for one, two and three dimensions which give results in substantial agreement with the scaling argument predictions.