Abstract
For hopping models on cubic lattices with a fractionc of impurity bonds, time-dependent transport properties and correlation functions (long-time tails) are calculated through a systematicc-expansion (in the percolation literature referred to as “high-density expansion”), using a method developed in an earlier paper. The time-dependent diffusion coefficient, velocity autocorrelation function (VACF), and Burnett functions are calculated exact toO(c) for allt, and exact toO(c 2 ) for long times only. A comparison is made with the results of the effective medium approximation, and numerical results are given for the square lattice.
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Ernst, M.H. Time-dependent correlation functions for random walks on bond disordered cubic lattices. J Stat Phys 48, 645–676 (1987). https://doi.org/10.1007/BF01019691
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DOI: https://doi.org/10.1007/BF01019691