Theory of single file diffusion in a force field

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Abstract

The dynamics of hard-core interacting Brownian particles in an external potential field is studied in one dimension. Using the Jepsen line we find a very general and simple formula relating the motion of the tagged center particle, with the classical, time dependent single particle reflection R and transmission T coefficients. Our formula describes rich physical behaviors both in equilibrium and the approach to equilibrium of this many body problem.

Original languageEnglish
Article number050602
JournalPhysical Review Letters
Volume102
Issue number5
DOIs
StatePublished - 6 Feb 2009

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