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Connection between dispersive transport and statistics of extreme events

Author

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

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.

Suggested Citation

  • Kehr, K.W. & Murthy, K.P.N. & Ambaye, H., 1998. "Connection between dispersive transport and statistics of extreme events," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 253(1), pages 9-22.
    • Handle: RePEc:eee:phsmap:v:253:y:1998:i:1:p:9-22
    DOI: 10.1016/S0378-4371(97)00687-0
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