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arXiv · 0811.3433

Theory of Single File Diffusion in a Force Field

E. Barkai·R. Silbey
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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 ${\cal R}$ 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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E. Barkai, R. Silbey. 2008-11-20. Theory of Single File Diffusion in a Force Field. https://doi.org/10.1103/physrevlett.102.050602

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