Approximate solutions to the Poisson-Boltzmann equation in spherical and cylindrical geometry

被引：46

作者：

Tuinier, R ^{[1
]}

机构：

[1] Forschungszentrum Julich, Inst Festkorperforsch, D-52425 Julich, Germany

来源：

JOURNAL OF COLLOID AND INTERFACE SCIENCE | 2003年 / 258卷 / 01期

关键词：

Poisson-Boltzmann equation; charged colloid; charged sphere; charged cylinder; polyelectrolytes;

D O I：

10.1016/S0021-9797(02)00142-X

中图分类号：

O64 [物理化学（理论化学）、化学物理学];

学科分类号：

070304 ; 081704 ;

摘要：

Approximate solutions of the Poisson-Boltzmann equation are given for the electrostatic potentials around a charged sphere and charged cylinder. The expressions are obtained from combining various results in limits where exact solutions are available. The proposed equations match with numerical solutions to the Poisson-Boltzmann equation for arbitrary values of the double layer thickness. (C) 2003 Elsevier Science (USA). All rights reserved.

引用

页码：45 / 49

页数：5

共 50 条

[1] APPROXIMATE ANALYTICAL SOLUTIONS TO POISSON-BOLTZMANN EQUATION
PARLANGE, JY
[J]. JOURNAL OF CHEMICAL PHYSICS, 1975, 63 (04): : 1699 - 1700
[2] APPROXIMATE ANALYTIC SOLUTION OF POISSON-BOLTZMANN EQUATION FOR A SPHERICAL COLLOIDAL PARTICLE
WHITE, LR
[J]. JOURNAL OF THE CHEMICAL SOCIETY-FARADAY TRANSACTIONS II, 1977, 73 : 577 - 596
[3] SOLUTIONS OF THE POISSON-BOLTZMANN EQUATION FOR A CYLINDRICAL DOUBLE-LAYER
KOVALCHUK, VI
[J]. COLLOID JOURNAL OF THE USSR, 1982, 44 (04): : 739 - 740
[4] Poisson-Boltzmann equation for spherical cell model: approximate analytical solution and applications
Zholkovskij, EK
Dukhin, SS
Mishchuk, NA
Masliyah, JH
Czarnecki, J
[J]. COLLOIDS AND SURFACES A-PHYSICOCHEMICAL AND ENGINEERING ASPECTS, 2001, 192 (1-3) : 235 - 251
[5] On exact-solutions to the cylindrical Poisson-Boltzmann equation with applications to polyelectrolytes
Tracy, CA
Widom, H
[J]. PHYSICA A, 1997, 244 (1-4): : 402 - 413
[6] INTERFACIAL SOLUTIONS OF POISSON-BOLTZMANN EQUATION
STILLINGER, F
[J]. JOURNAL OF CHEMICAL PHYSICS, 1961, 35 (05): : 1584 - &
[7] ASYMPTOTIC RELATIONS FOR SOLUTIONS OF POISSON-BOLTZMANN EQUATION FOR A SPHERICAL-PARTICLE
STOKES, AN
[J]. JOURNAL OF CHEMICAL PHYSICS, 1976, 65 (01): : 261 - 264
[8] Nonlinear Poisson-Boltzmann equation in spherical symmetry
Vishnyakov, V. I.
Dragan, G. S.
Evtuhov, V. M.
[J]. PHYSICAL REVIEW E, 2007, 76 (03):
[9] APPROXIMATE ANALYTICAL SOLUTIONS OF THE POISSON-BOLTZMANN EQUATION AND THEIR APPLICATION TO LIPID-MEMBRANES
TENCHOV, BG
KOYNOVA, RD
RAYTCHEV, BD
[J]. STUDIA BIOPHYSICA, 1984, 100 (02): : 103 - 112
[10] THE CYLINDRICAL POISSON-BOLTZMANN EQUATION .1. TRANSFORMATIONS AND GENERAL-SOLUTIONS
BENHAM, CJ
[J]. JOURNAL OF CHEMICAL PHYSICS, 1983, 79 (04): : 1969 - 1973

← 1 2 3 4 5 →