Abstract
Anomalous diffusion for continuum percolation is simulated by considering systems of randomly distributed circles and spheres. Universal behavior is obtained for the case of equal local conductances and nonuniversal behavior for diverging distributions of the local conductances. Diffusion in the continuum has a behavior consistent with that of other transport properties in the continuum. In addition, the results suggest that different algorithms for diffusion, which differ only in the random walker sitting times, are equivalent.
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Wagner, N., Balberg, I. Anomalous diffusion and continuum percolation. J Stat Phys 49, 369–382 (1987). https://doi.org/10.1007/BF01009969
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DOI: https://doi.org/10.1007/BF01009969