M Sahimi and H Siddiqui 1985 J. Phys. A: Math. Gen. 18 L727 doi:10.1088/0305-4470/18/12/008
M Sahimi and H Siddiqui
Show affiliationsTwo models of diffusion in superconducting percolation networks are studied on a one-dimensional system. The authors use chains of 5*105 sites and study the scaling properties of the mean-squared displacement of 'termites' which execute random walks on the network, mean number of distinct sites visited and mean number of visits to the origin. They find that although these quantities can be described by well defined scaling laws, the values of the critical exponents appear to depend on the time interval in which the walks are studied. They observe at least four different scaling regimes. The implications of these results for higher-dimensional systems are discussed.
82B80 Numerical methods (Monte Carlo, series resummation, etc.) (See also 65-XX, 81T80)
82B41 Random walks, random surfaces, lattice animals, etc. (See also 60G50, 82C41)
Issue 12 (21 August 1985)
M Sahimi and H Siddiqui 1985 J. Phys. A: Math. Gen. 18 L727
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