Connection between dispersive transport and statistics of extreme events

K. W. Kehr; K. P.N. Murthy; H. Ambaye

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

Connection between dispersive transport and statistics of extreme events

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

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

A length dependence of the effective mobility in the form of a power law, B ∼ L^⊥-⊥/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.

Original language	English
Pages (from-to)	9-22
Number of pages	14
Journal	Physica A: Statistical Mechanics and its Applications
Volume	253
Issue number	1-4
DOIs	https://doi.org/10.1016/S0378-4371(97)00687-0
State	Published - May 1 1998
Externally published	Yes

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title = "Connection between dispersive transport and statistics of extreme events",

abstract = "A length dependence of the effective mobility in the form of a power law, B ∼ L⊥-⊥/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.",

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AU - Kehr, K. W.

AU - Murthy, K. P.N.

AU - Ambaye, H.

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N2 - A length dependence of the effective mobility in the form of a power law, B ∼ L⊥-⊥/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.

AB - A length dependence of the effective mobility in the form of a power law, B ∼ L⊥-⊥/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.

UR - https://www.scopus.com/pages/publications/0347484475

U2 - 10.1016/S0378-4371(97)00687-0

DO - 10.1016/S0378-4371(97)00687-0

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EP - 22

JO - Physica A: Statistical Mechanics and its Applications

JF - Physica A: Statistical Mechanics and its Applications

IS - 1-4

ER -

Connection between dispersive transport and statistics of extreme events

Abstract

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