M. Vendruscolo et M. Marsili, DIFFUSION IN DISORDERED MEDIA AS A PROCESS WITH MEMORY, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 54(2), 1996, pp. 1021-1024
The problem of a random walk in disordered media is mapped into a mode
l of a random walk: with memory. The latter model, as opposed to the f
ormer one, does not make reference to a particular realization of the
disorder. The equivalence of the two models implies that the latter mo
del retrieves dynamically a realization of disorder; the only one whic
h is consistent with its dynamics. In this latter approach to the dyna
mics in disordered media, effects of memory, aging and the peculiar lo
calization properties of the random walker, appear quite natural.