Ohshima Hiroyuki
Faculty of Pharmaceutical Sciences and Institute of Colloid and Interface Science, Tokyo University of Science, 2641 Yamazaki, Noda, Chiba 278-8510, Japan.
J Colloid Interface Sci. 2008 Jul 15;323(2):313-6. doi: 10.1016/j.jcis.2008.04.027. Epub 2008 May 27.
Transcendental equations, which avoid integration of the nonlinear Poisson-Boltzmann equations, are presented for obtaining the relationship between the Donnan potential and surface potential of a cylindrical soft particle (i.e., a polyelectrolyte-coated cylindrical particle) in a symmetrical electrolyte solution. Numerical results obtained by the present method are in excellent agreement with exact results obtained by solving the nonlinear cylindrical Poisson-Boltzmann equations both inside and outside the polyelectrolyte layer.
本文提出了超越方程，该方程避免了非线性泊松-玻尔兹曼方程的积分，用于获得对称电解质溶液中圆柱形软颗粒（即聚电解质包覆的圆柱形颗粒）的唐南电位与表面电位之间的关系。通过本方法获得的数值结果与通过求解聚电解质层内外的非线性圆柱形泊松-玻尔兹曼方程得到的精确结果非常吻合。
