Abstract
Applying scaling and universality arguments, the long-time behavior of the probability distribution for a random walk in a one-dimensional random medium satisfying Sinai's constraint is obtained analytically. The convergence to this asymptotic limit and the fluctuations of this distribution are evaluated by solving numerically the stochastic equations for this walk.
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Nauenberg, M. Random walk in a random medium in one dimension. J Stat Phys 41, 803–810 (1985). https://doi.org/10.1007/BF01010004
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DOI: https://doi.org/10.1007/BF01010004