Abstract
Models for growth in disordered media, which are deterministic once the random environment is specified, can be transformed into stochastic growth processes with a time-dependent noise. The mapping generally induces a memory in the stochastic process. This transformation is proposed and discussed in detail. An approximation scheme is worked out analytically and possible applications are discussed.
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Marsili, M. Run time statistics in models of growth in disrrdered media. J Stat Phys 77, 733–754 (1994). https://doi.org/10.1007/BF02179459
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DOI: https://doi.org/10.1007/BF02179459