材料期刊网

We analyze the anomalous transport properties in a disordered medium, whose disorder is described by a log-normal waiting-time density (WTD), PSI-(t) approximately (A/t) exp[a2ln2(t/T)]. Using the theory of the continous time of a random walk, we find that the anomalous transport behaviour can be expressed as ln [r2(t)] approximately a2ln2(t/T). The probabilities for finding the random walker at large displacements and long times, and returning to the origin are first presented here.