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Integral Eqution Approach for Solving the Nonlinear Poisson–Boltzmann Equation

✍ Scribed by Byung Jun Yoon

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
86 KB
Volume
192
Category
Article
ISSN
0021-9797

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✦ Synopsis

ARTICLE NO. CS975019 NOTE Integral Equation Approach for Solving the Nonlinear Poisson-Boltzmann Equation density of the ith ionic species, and n 0

i the corresponding number density in the bulk. We recast Eq. [1] into A simple iterative method is devised for solving the nonlinear Poisson-Boltzmann equation. The method is based on the integral

] representation of the Poisson-Boltzmann equation and can be readily implemented for determining the potential and charge denwhich is the inhomogeneous Helmholtz equation. Here k is the reciprocal sity around particles of various shapes. As an illustrative example Debye length defined by the method is applied for computing the potential and surface charge density of the spherical double layer.

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