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The velocity autocorrelation function for a random walk on percolation clusters

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  • Oleksy, Czesław

Abstract

We apply the random Lorentz model to diffusion on percolation clusters on a square lattice. In this model a walker performs a random walk on cluster sites and can visit sites occupied by impurities which play the role of reflectors. The velocity autocorrelation function and the mean-square displacement of a random walker are calculated with high accuracy using a moment-propagation numerical technique. Exponents describing the decay of correlation function are calculated at the percolation threshold and above it.

Suggested Citation

  • Oleksy, Czesław, 1994. "The velocity autocorrelation function for a random walk on percolation clusters," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 205(4), pages 487-496.
    • Handle: RePEc:eee:phsmap:v:205:y:1994:i:4:p:487-496
    DOI: 10.1016/0378-4371(94)90215-1
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    References listed on IDEAS

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    1. Muralidhar, R. & Ramkrishna, D. & Nakanishi, H. & Jacobs, D., 1990. "Anomalous diffusion: A dynamic perspective," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 167(2), pages 539-559.
    2. Charles G. Leathers & John S. Evans, 1974. "Veblen's Ideal and the Contemporary U.S. Economy: A Contrast," American Journal of Economics and Sociology, Wiley Blackwell, vol. 33(4), pages 409-409, October.
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