Connection between Dispersive Transport and Statistics of Extreme Events

Details Connection between Dispersive Transport and Statistics of Extreme Events Connection between Dispersive Transport and Statistics of Extreme Events

1999-01-07

arxiv.org/abs/cond-mat/9901047v1

Physica A 253 (1998) 9-22

Physics

Condensed Matter

Statistical Mechanics

13 pages, 3 Postscript figures

Scientific paper

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.

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