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25 April 2024
 
  » arxiv » cond-mat/0101119

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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 ;
Date 9 Dec 2000
Subject Soft Condensed Matter; Materials Science | cond-mat.soft cond-mat.mtrl-sci
Affiliation DFA, Polytechnic University of Catalunya, Barcelona, Spain; DECM, University of Barcelona, Barcelona, Spain; DQF, University of Barcelona, Barcelona, Spain; LPTL, University of Paris VI, Paris, France
AbstractWe 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 $M(t) = 2 m(J, ho_F) sqrt{D_0 t}$, where $D_0$ is the "bare" diffusion coefficient and the prefactor $m(J, ho_F)$ is a non-trivial function of the reservoir density $ ho_F$ and the amplitude $J$ of attractive particle-particle interactions. Behavior of the dynamic density profiles is also discussed.
Source arXiv, cond-mat/0101119
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