Analysis of self--averaging properties in the transport of particles through random media
arXiv:cond-mat/9411106 · doi:10.1103/PhysRevE.51.R1637
Abstract
We investigate self-averaging properties in the transport of particles through random media. We show rigorously that in the subdiffusive anomalous regime transport coefficients are not self--averaging quantities. These quantities are exactly calculated in the case of directed random walks. In the case of general symmetric random walks a perturbative analysis around the Effective Medium Approximation (EMA) is performed.
4 pages, RevTeX , No figures, submitted to Physical Review E (Rapid Communication)