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    Please use this identifier to cite or link to this item: https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/41285

    Title: Electrical potential in a cylindrical double layer: a functional theory approach
    Authors: 曾琇瑱;Tseng, Shio-jenn;Jiang, Ji-Ming;Hsu, Jyh-ping
    Contributors: 淡江大學數學學系
    Keywords: Electrical potential;Cylindrical surface;Poisson–Boltzmann equation;Functional theory
    Date: 2004-05-01
    Issue Date: 2010-01-28 07:11:18 (UTC+8)
    Publisher: Elsevier
    Abstract: Employing an iterative method in functional theory, the electrical potential distribution for the case of a cylindrical surface is solved. Although the analytical result derived is of an iterative nature, the second-order solution is found to be sufficiently accurate under conditions of practical significance. For the case of constant surface potential, the radius and the surface potential of a cylindrical surface can be estimated based on the extreme of the electrical potential distribution. The effects of the key parameters, including the number and the valence of the ions on a surface, the length of a particle, the relative permittivity of the liquid phase, the temperature, and the concentration of electrolyte on the surface potential, are examined. The general behavior of these effects is similar to that for a spherical surface, except that the surface potential of a cylindrical surface is independent of the electrolyte concentration. The present approach is also applicable to the case where a cylindrical surface remains at a constant charge density.
    Relation: Journal of Colloid and Interface Science 273(1), pp.218-223
    DOI: 10.1016/j.jcis.2003.09.029
    Appears in Collections:[Graduate Institute & Department of Mathematics] Journal Article

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