BEHAVIOR OF TRANSPORT CHARACTERISTICS IN SEVERAL ONE-DIMENSIONAL DISORDERED-SYSTEMS

In this paper we examine the behavior of transport characteristics, su ch as the mean square displacement, passage times and average flux thr ough a finite segment of the system, in two models of random walks in one-dimensional disordered systems. The first case is the random walk on a regular one-dimensional lattice with asymmetric random hopping pr obabilities. The second one concerns random motion of particles in a d isordered lattice with distance-dependent transfer rates. The main goa l of this paper is to answer the question of what are the representati ve realizations of disorder which support anomalous behavior of transp ort characteristics. On the basis of such an analysis we recover most of the known results and establish several new ones.