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Connection between Dispersive Transport and Statistics of Extreme Events

K. W. Kehr·K. P. N. Murthy·H. Ambaye
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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 < α< 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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K. W. Kehr, K. P. N. Murthy, H. Ambaye. 1999-01-07. Connection between Dispersive Transport and Statistics of Extreme Events. https://arxiv.org/abs/cond-mat/9901047

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