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Connection between Dispersive Transport and Statistics of Extreme Events | | K. W. Kehr
; K. P. N. Murthy
; H. Ambaye
; | | Date: |
7 Dec 1998 | | Journal: | Physica A 253 (1998) 9-22 | | Subject: | Statistical Mechanics | cond-mat.stat-mech | | 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. | | Source: | arXiv, cond-mat/9901047 | | Services: | Forum | Review | PDF | Favorites | |
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