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    Title: Electrical Potentials of Two Identical Particles with Fixed Surface Charge Density in a Salt-Free Medium
    Authors: Hsu, Jyh-Ping;Huang, Chih-Hua;Tseng, Shiojenn
    Contributors: 淡江大學數學學系
    Date: 2011-04
    Issue Date: 2011-10-18 14:53:09 (UTC+8)
    Publisher: Maryland Heights: Academic Press
    Abstract: The electrical potentials of two identical planar, cylindrical, and spherical particles immersed in a salt-free dispersion are solved analytically by a perturbation approach for the case of constant surface charge density. The system under consideration simulates, for example, micelles, where the ionic species in the liquid phase come mainly from the dissociation of the functional groups on the droplet surface. We show that for planar particles, the present zero-order perturbation solution is exact, and for cylindrical and spherical particles, the first-order perturbation solution provides sufficiently accurate results, with an averaged percentage deviation on the order of 1% under typical conditions. In general, the higher the surface charge density, the higher the valence of counterions, the smaller the separation distance between two particles, and the smaller the curvature of particle surface, the better the performance of the perturbation solution.
    Relation: Journal of Colloid and Interface Science 356(2), pp.550–556
    DOI: 10.1016/j.jcis.2011.01.037
    Appears in Collections:[數學學系暨研究所] 期刊論文

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