Analysis of self--averaging properties in the transport of particles through random media
J. M. Lopez, M. A. Rodriguez, L. Pesquera
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.
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