Theory of Single File Diffusion in a Force Field

Details Theory of Single File Diffusion in a Force Field Theory of Single File Diffusion in a Force Field

2008-11-20

arxiv.org/abs/0811.3433v1

Phys.Rev.Lett.102:050602,2009

Physics

Condensed Matter

Statistical Mechanics

4 Phys. Rev. pages

Scientific paper

10.1103/PhysRevLett.102.050602

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 ${\cal R}$ and transmission ${\cal T}$ coefficients. Our formula describes rich physical behaviors both in equilibrium and the approach to equilibrium of this many body problem.

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