Asymmetric exclusion model for mixed ionic condustors
Abstract
The ionic conductivity of mixed alkali glasses exhibits a deep minimum as a function of the relative concentrations of the two alkali ions. To study this behaviour we consider a simple one-dimensional model for asymmetric diffusion of two kinds of particles. Different particles are assumed to repulse each other. We consider two versions of the model: with or without overtaking of particles. For the case of perfect repulsion we find exact expressions for the stationary current. The model with weaker repulsion is studied by means of numerical simulations. The stationary current as a function of the ratio of particle concentrations is found to exhibit a minimum, related to correlations existing in this system.
Cite
@article{arxiv.cond-mat/9405023,
title = {Asymmetric exclusion model for mixed ionic condustors},
author = {Sven Sandow and Steffen Trimper and David Mukamel},
journal= {arXiv preprint arXiv:cond-mat/9405023},
year = {2008}
}
Comments
revised version (Some minor errors were corrected and some changes made.), 16 pages RevTeX and 3 postscript figures