https://scholars.lib.ntu.edu.tw/handle/123456789/409422
標題: | Solution to linearized Poisson-Boltzmann equation with mixed boundary condition | 作者: | Hsu J.-P. Tseng M.-T. |
公開日期: | 1996 | 卷: | 104 | 期: | 1 | 起(迄)頁: | 242-247 | 來源出版物: | Journal of Chemical Physics | 摘要: | The Poisson-Boltzmann equation governing the electrostatic potential distribution for a charged surface immersed in an electrolyte solution is discussed. The conventional analysis on a constant potential/charge density problem is extended to a mixed boundary condition problem in which a linear combination of potential and its derivative is specified at the charged surface. We show that the difficulty of solving this type of problem can be circumvented by adopting a finite dimension, least square approximation method coupled by a random selection algorithm. The solution procedure provides an efficient and accurate way for the estimation of the unknown coefficients in the general solution of a linearized Poisson-Boltzmann equation. It is essentially independent of the geometry of a charged surface and the type of boundary condition specified, as long as the general solution can be expressed as a linear combination of harmonic functions. ? 1995 American Institute of Physics. |
URI: | https://scholars.lib.ntu.edu.tw/handle/123456789/409422 | ISSN: | 00219606 | DOI: | 10.1063/1.470894 |
顯示於: | 化學工程學系 |
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