Volume 81, Number 3, February 2008
|Number of page(s)||6|
|Published online||19 December 2007|
Efficient numerical method for studying random walks on disordered structures
DNRF centre “Glass and Time”, IMFUFA, Department of Sciences, Roskilde University Postbox 260, DK-4000 Roskilde, Denmark and Nordita - Blegdamsvej 17, DK-2100, Copenhagen Ø, Denmark
Corresponding author: email@example.com
Accepted: 24 November 2007
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.
PACS: 02.70.-c – Computational techniques; simulations / 05.40.Fb – Random walks and Levy flights / 66.30.Dn – Theory of diffusion and ionic conduction in solids
© EPLA, 2008
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