期刊
JOURNAL OF COLLOID AND INTERFACE SCIENCE
卷 268, 期 2, 页码 371-379出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/S0021-9797(03)00454-5
关键词
Poisson-Boltzmann equation; nonuniform fixed charge; network simulation method; spherical particles; soft particles; charged membranes
The Poisson-Boltzmann equation is numerically solved for a suspended spherical particle surrounded by a permeable membrane that contains an inhomogeneous distribution of fixed charges. The calculations are carried out using the network simulation method, which makes it possible to solve the problem in the most general case, extending previous results (J.P. Hsu, YC. Kuo, J. Membrane Sci. 108 (1995) 107). Approximate analytical expressions for the counterion concentration and the electric potential in the membrane are also presented, together with criteria that determine their ranges of validity. The limiting case of a distribution of fixed charges in the membrane that reduces to a surface charge is also analyzed. It is shown that the solution for this case, considering a vanishingly small radius of the core, reduces to a superposition of solutions corresponding to a charged impermeable particle suspended in an electrolyte solution and to a cavity filled with a charged electrolyte solution (J.J. Upez-Garcia, J. Horno, C. Grosse, J. Colloid Interface Sci. 251 (2002) 85). (C) 2003 Elsevier Inc. All rights reserved.
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