A VARIATIONAL SOLUTION OF THE NONLINEAR POISSON-BOLTZMANN EQUATION INSIDE A SPHERICAL CAVITY

被引:13
作者
CURRY, JE
FELLER, SE
MCQUARRIE, DA
机构
[1] UNIV CALIF DAVIS,DEPT CHEM,DAVIS,CA 95616
[2] UNIV CALIF DAVIS,INST THEORET DYNAM,DAVIS,CA 95616
基金
美国国家科学基金会;
关键词
D O I
10.1016/0021-9797(91)90285-G
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
The nonlinear Poisson-Boltzmann equation is solved variationally to obtain the electrostatic potential profile in a spherical cavity containing an aqueous electrolyte solution. The variational solution is based on the linear solution to the Poisson-Boltzmann equation. It is found that a three-parameter trial function provides sufficient accuracy to make the variational potential profile indistinguishable from exact numerical results. The variational solution is valid over the concentration, size, and surface potential ranges typical of phospholipid vesicles. It is anticipated that this solution will be useful in determining the stability of membraneous vesicles and reverse micelles. © 1991.
引用
收藏
页码:527 / 531
页数:5
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