Screening of macroions in colloidal plasmas: Accurate analytical solution of the Poisson-Boltzmann equation

被引：19

作者：

D'yachkov, LG ^{[1
]}

机构：

[1] Russian Acad Sci, Inst High Energy Dens, Moscow 125412, Russia

来源：

PHYSICS LETTERS A | 2005年 / 340卷 / 5-6期

基金：

俄罗斯基础研究基金会;

关键词：

colloidal plasmas; nonlinear screening effects; Poisson-Boltzmann equation;

D O I：

10.1016/j.physleta.2005.04.028

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Accurate analytical solution of the Poisson-Boltzmann equation in the cases of spherical and axial symmetries and planar problem is found. It is expressed by logarithm of power series presented in three different forms. For each of them the recurrence relations between the series coefficients are derived. Identity to the earlier known result for the planar problem is shown. Convergence of the power series in different cases is discussed. (c) 2005 Elsevier B.V. All rights reserved.

引用

页码：440 / 448

页数：9