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A method for efficient numerical calculation of the frequency-dependent diffusion coefficient of random walks on disordered structures is presented. The method relies on solving the linear system of equations for probability currents in the frequency domain; consequently, the noise associated with traditional Monte Carlo simulation is avoided, and systems with extremely long relaxation times can be studied. Results are reported for two models on the square lattice: i) the random site-energy model and ii) a random walk at the percolation threshold for site percolation.
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Thomas B. Schrøder (2007) studied this question.
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