Diffusion of interacting particles in discrete geometries
Statistical Mechanics
2013-09-18 v2
Abstract
We evaluate the self-diffusion and transport diffusion of interacting particles in a discrete geometry consisting of a linear chain of cavities, with interactions within a cavity described by a free-energy function. Exact analytical expressions are obtained in the absence of correlations, showing that the self-diffusion can exceed the transport diffusion if the free-energy function is concave. The effect of correlations is elucidated by comparison with numerical results. Quantitative agreement is obtained with recent experimental data for diffusion in a nanoporous zeolitic imidazolate framework material, ZIF-8.
Keywords
Cite
@article{arxiv.1305.2095,
title = {Diffusion of interacting particles in discrete geometries},
author = {T. Becker and K. Nelissen and B. Cleuren and B. Partoens and C. Van den Broeck},
journal= {arXiv preprint arXiv:1305.2095},
year = {2013}
}
Comments
5 pages main text (3 figures); 9 pages supplemental material (2 figures). (minor changes, published version)