Connection between dispersive transport and statistics of extreme events

K.W. Kehr, K.P.N. Murthy and H. Ambaye

Physica A: Statistical Mechanics and its Applications, 1998, vol. 253, issue 1, 9-22

Abstract: A length dependence of the effective mobility in the form of a power law, B∼L1−1/α, 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.

Date: 1998
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:253:y:1998:i:1:p:9-22

DOI: 10.1016/S0378-4371(97)00687-0

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