Connection between Dispersive Transport and Statistics of Extreme Events
Statistical Mechanics
2007-05-23 v1
Abstract
A length dependence of the effective mobility in the form of a power law, B ~ L^(1-1/alpha) is observed in dispersive transport in amorphous substances, with 0 < \alpha < 1. We deduce this behavior as a simple consequence of the statistical theory of extreme events. We derive various quantities related to the largest value in samples of n trials, for the exponential and power-law probability densities of the individual events.
Cite
@article{arxiv.cond-mat/9901047,
title = {Connection between Dispersive Transport and Statistics of Extreme Events},
author = {K. W. Kehr and K. P. N. Murthy and H. Ambaye},
journal= {arXiv preprint arXiv:cond-mat/9901047},
year = {2007}
}
Comments
13 pages, 3 Postscript figures