English

Single-File Diffusion of Externally Driven Particles

Statistical Mechanics 2012-03-06 v1

Abstract

We study 1-D diffusion of NN hard-core interacting Brownian particles driven by the space- and time-dependent external force. We give the exact solution of the NN-particle Smoluchowski diffusion equation. In particular, we investigate the nonequilibrium energetics of two interacting particles under the time-periodic driving. The hard-core interaction induces entropic repulsion which differentiates the energetics of the two particles. We present exact time-asymptotic results which describe the mean energy, the accepted work and heat, and the entropy production of interacting particles and we contrast these quantities against the corresponding ones for the non-interacting particles.

Keywords

Cite

@article{arxiv.1203.0777,
  title  = {Single-File Diffusion of Externally Driven Particles},
  author = {Artem Ryabov and Petr Chvosta},
  journal= {arXiv preprint arXiv:1203.0777},
  year   = {2012}
}
R2 v1 2026-06-21T20:28:49.293Z