Distribution of interacting ionic particles in disordered media
Institute for Advanced Studies in Basic Sciences - Zanjan
and Institute for Studies in Theoretical Physics
and Mathematics P.O. Box 19395-5531, Tehran, Iran
Accepted: 14 March 2002
The equilibrium distribution of ionic particles in a charged disordered background is studied using the nonlinear Poisson-Boltzmann equation. For interacting ions in 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 Schrödinger equation. It is shown that the ions are not distributed so as to locally neutralize the background, presumably due to their mutual interactions.
PACS: 66.30.Jt – Diffusion of impurities / 05.60.Cd – Classical transport / 71.55.Jv – Disordered structures; amorphous and glassy solids
© EDP Sciences, 2002