Propagation Dynamics of a Particle Phase in a Single-File Pore
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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.
Latex, 12 pages, to appear in the Proceedings of the MRS Fall 2000 Meeting
Latex, 12 pages, to appear in the Proceedings of the MRS Fall 2000 Meeting