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

A. M. Lacasta·J. M. Sancho·F. Sagues·G. Oshanin
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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 $M(t) = 2 m(J,ρ_F) \sqrt{D_0 t}$, 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.

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A. M. Lacasta, J. M. Sancho, F. Sagues, G. Oshanin. 2001-01-09. Propagation Dynamics of a Particle Phase in a Single-File Pore. https://arxiv.org/abs/cond-mat/0101119

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