Type: Article
Publication Date: 2017-03-01
Citations: 4
DOI: https://doi.org/10.5488/cmp.20.13004
We study the scaling laws of diffusion in two-dimensional media with long-range correlated disorder through exact enumeration of random walks.The disordered medium is modelled by percolation clusters with correlations decaying with the distance as a power law, r -a , generated with the improved Fourier filtering method.To characterize this type of disorder, we determine the percolation threshold p c by investigating cluster-wrapping probabilities.At p c , we estimate the (sub-diffusive) walk dimension d w for different correlation exponents a. Above p c , our results suggest a normal random walk behavior for weak correlations, whereas anomalous diffusion cannot be ruled out in the strongly correlated case, i.e., for small a.