Theory of Single File Diffusion in a Force Field

E. Barkai and R. Silbey

Phys. Rev. Lett. 102, 050602 – Published 5 February 2009

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.

Received 21 November 2008

DOI:https://doi.org/10.1103/PhysRevLett.102.050602

Authors & Affiliations

E. Barkai^1,2 and R. Silbey¹

¹Department of Chemistry, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA
²Department of Physics, Bar Ilan University, Ramat-Gan 52900 Israel

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Issue

Vol. 102, Iss. 5 — 6 February 2009

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