The Poisson-Boltzmann Theory for The Two-Plates Problem: Some Exact Results
Classical Physics
2010-10-26 v1 Materials Science
Statistical Mechanics
Abstract
The general solution to the nonlinear Poisson-Boltzmann equation for two parallel charged plates, either inside a symmetric elecrolyte, or inside a 2q:-q asymmetric electrolyte, is found in terms of Weierstrass elliptic functions. From this we derive some exact asymptotic results for the interaction between charged plates, as well as the exact form of the renormalized surface charge density.
Keywords
Cite
@article{arxiv.1010.4944,
title = {The Poisson-Boltzmann Theory for The Two-Plates Problem: Some Exact Results},
author = {Xiangjun Xing},
journal= {arXiv preprint arXiv:1010.4944},
year = {2010}
}
Comments
4 pages, 5 eps figures