| Issue |
Europhys. Lett.
Volume 58, Number 5, June 2002
|
|
|---|---|---|
| Page(s) | 712 - 717 | |
| Section | Condensed matter: structure, mechanical and thermal properties | |
| DOI | https://doi.org/10.1209/epl/i2002-00407-y | |
| Published online | 01 May 2002 | |
Distribution of interacting ionic particles in disordered media
Institute for Advanced Studies in Basic Sciences - Zanjan
45195-159, Iran
and Institute for Studies in Theoretical Physics
and Mathematics P.O. Box 19395-5531, Tehran, Iran
Received:
17
August
2001
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
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