Distribution of Interacting Ionic Particles in Disordered Media
Disordered Systems and Neural Networks
2009-11-07 v1 Soft Condensed Matter
Statistical Mechanics
Abstract
Equilibrium distribution of interacting ionic particles in a charged disordered background is studied using the nonlinear Poisson-Boltzmann equation. For an arbitrarily given realization of the disorder, an exact solution of the equation is obtained in one dimension using a mapping of the nonlinear Poisson-Boltzmann equation to a self-consistent Schrodinger equation. The resulting density profile shows that the ions are delocalized, despite what the equivalent Schrodinger formulation in one dimension would suggest. It is shown that the ions are not distributed so as to locally neutralize the background, presumably due to their mutual interactions.
Cite
@article{arxiv.cond-mat/0106153,
title = {Distribution of Interacting Ionic Particles in Disordered Media},
author = {Ramin Golestanian},
journal= {arXiv preprint arXiv:cond-mat/0106153},
year = {2009}
}