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具有恒定表面电荷密度的两个平行板之间双层相互作用能的近似表达式。

Approximate Expression for the Double-Layer Interaction Energy between Two Parallel Plates with Constant Surface Charge Density.

作者信息

Ohshima H

机构信息

Faculty of Pharmaceutical Sciences and Institute of Colloid and Interface Science, Science University of Tokyo, 12 Ichigaya Funagawara-machi, Shinjuku-ku, Tokyo, 162-0826, Japan

出版信息

J Colloid Interface Sci. 1999 Apr 1;212(1):130-134. doi: 10.1006/jcis.1998.6026.

DOI:10.1006/jcis.1998.6026
PMID:10072282
Abstract

An approximate expression for the potential energy of the double-layer interaction between two parallel similar plates with constant surface charge density is derived via a novel linearization method, in which the Poisson-Boltzmann is linearized with respect to the deviation of the electric potential from the surface potential (which is a function of the interplate separation h). This approximation works quite well for small plate separations h for all values of the surface charge density (or the unperturbed surface potential) and gives a correct limiting form of the interaction energy (or the interaction force) as h --> 0. Copyright 1999 Academic Press.

摘要

通过一种新颖的线性化方法,推导了两个具有恒定表面电荷密度的平行相似平板之间双层相互作用势能的近似表达式。在该方法中,泊松 - 玻尔兹曼方程针对电势相对于表面电势的偏差进行线性化(表面电势是板间距h的函数)。对于所有表面电荷密度(或未扰动表面电势)值,这种近似在小板间距h时效果很好,并且当h→0时给出了相互作用能(或相互作用力)的正确极限形式。版权所有1999年学术出版社。

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