title: Theory of single file diffusion in a force field.
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.
authors.affiliation: Department of Chemistry, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA.
authors.forename: E
authors.initials: E
authors.lastname: Barkai
authors.forename: R
authors.initials: R
authors.lastname: Silbey