Propagation Dynamics of a Particle Phase in a Single-File Pore

A. M. Lacasta; J. M. Sancho; F. Sagues; G. Oshanin

paper

Propagation Dynamics of a Particle Phase in a Single-File Pore

arXiv:cond-mat/0101119

Abstract

We study propagation dynamics of a particle phase in a single-file pore connected to a reservoir of particles (bulk liquid phase). We show that the total mass $M (t)$ of particles entering the pore up to time $t$ grows as $M (t) = 2 m (J, ρ_{F}) D_{0} t$ , where $D_{0}$ is the "bare" diffusion coefficient and the prefactor $m (J, ρ_{F})$ is a non-trivial function of the reservoir density $ρ_{F}$ and the amplitude $J$ of attractive particle-particle interactions. Behavior of the dynamic density profiles is also discussed.

Latex, 12 pages, to appear in the Proceedings of the MRS Fall 2000 Meeting