Abstract

Computer simulations confirm Dhar's prediction (ibid., vol.17, p.L257, 1984) that the asymptotic exponent for the RMS distance against time relation is zero right at the percolation threshold, if a particle diffuses under the influence of a constant force in a random medium. For intermediate times and weak force, the exponent for the mean displacement (as a function of time) in the direction of the force confirms the prediction of Ohtsuki and Keyes (Phys. Rev. Lett., vol.52, p.1177, 1984).

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