DIFFUSION IN DISORDERED MEDIA AS A PROCESS WITH MEMORY

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.