title: The Poisson-Boltzmann theory for the two-plates problem: some exact results.
abstract: The general solution to the nonlinear Poisson-Boltzmann equation for two parallel charged plates, either inside a symmetric electrolyte, 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.
authors.affiliation: Institute of Natural Sciences and Department of Physics, Shanghai Jiao Tong University, Shanghai, China. xxing@sjtu.edu.cn
authors.forename: Xiang-Jun
authors.initials: XJ
authors.lastname: Xing
mesh_terms: D004573:Electrolytes / Q000737:chemistry*; D055641:Mathematical Concepts; D008956:Models, Chemical; D016012:Poisson Distribution; D012996:Solutions / Q000737:chemistry*; D013816:Thermodynamics
chemical_list: D004573:Electrolytes; D012996:Solutions