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On the distribution of a second-class particle in the asymmetric simple exclusion process

Craig A Tracy1 and Harold Widom2

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We give an exact expression for the distribution of the position X(t) of a single second-class particle in the asymmetric simple exclusion process (ASEP) where initially the second-class particle is located at the origin and the first-class particles occupy the sites \mathbb {Z}^+=\{ 1,2,\ldots \} .


PACS

05.20.-y Classical statistical mechanics

02.50.Ey Stochastic processes

MSC

82C05 Classical dynamic and nonequilibrium statistical mechanics (general)

Subjects

Computational physics

Statistical physics and nonlinear systems

Dates

Issue 42 (23 October 2009)

Received 25 July 2009

Published 5 October 2009



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