Ohlenbusch, H.-D.; Freeden, W. The electrostatic potential of spherical polyelectrolytes in aqueous solution. (English) Zbl 0645.31009 Math. Methods Appl. Sci. 9, 324-334 (1987). The electrostatic potential in systems of spherical polyelectrolytes is determined by superposition of spherically symmetric solutions of the linearized Poisson-Boltzmann equation. The case of constant surface potential is investigated in detail. Higher-order approximations are given by use of a generalization of the addition theorem for modified Bessel functions. MSC: 31B15 Potentials and capacities, extremal length and related notions in higher dimensions 35A35 Theoretical approximation in context of PDEs 35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation 65M99 Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems 65N99 Numerical methods for partial differential equations, boundary value problems 70C20 Statics 92C50 Medical applications (general) Keywords:electrostatic potential; spherical polyelectrolytes; spherically symmetric solutions; linearized Poisson-Boltzmann equation; constant surface potential; Higher-order approximations PDFBibTeX XMLCite \textit{H. D. Ohlenbusch} and \textit{W. Freeden}, Math. Methods Appl. Sci. 9, 324--334 (1987; Zbl 0645.31009) Full Text: DOI References: [1] Enos, Force Balance in Systems of Spherical Polyelectrolytes, J. Colloid and Interface Sci. 52 pp 289– (1975) · doi:10.1016/0021-9797(75)90202-7 [2] Ohlenbusch , H.-D. The Electrostatic Potential in Systems of Spherical Polyelectrolytes. Lecture presented at the ”Seminar über spezielle Probleme der statistischen Physik” RWTH Aachen. 28. 6. 1983 [3] Overbeek, Theory of the Stability of Lyophobic Colloids (1948) [4] Watson, A Treatise on the Theory of Bessel Functions (1922) · JFM 48.0412.02 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.