粒子体积非零的一般大离子的屏蔽库仑相互作用
Screened Coulomb interactions of general macroions with nonzero particle volume
摘要：
一个半解析的方法来计算刚性任意形状的宏离子与非零粒子体积，有效的线性屏蔽理论和平均场近似的有效对电位。这个框架的基本成分是一个映射的粒子到一个奇异的电荷分布与可调的有效电荷和形状参数确定的粒子表面静电势。对于带电球体，该方法再现了著名的Derjaguin-Landau-Verwey-Overbeek（DLVO）势。更复杂的情况下，如环面，三轴椭球体，和添加剂环面球混合物的方法的进一步的示例性基准，导致精确的封闭形式的积分表达式的所有粒子的分离和取向。研究结果是相关的确定宏离子的相行为与实验和模拟各种粒子形状。
英文摘要：
A semianalytical approach is developed to calculate the effective pair potential of rigid arbitrarily shaped macroions with a nonvanishing particle volume, valid within linear screening theory and the mean-field approximation. The essential ingredient for this framework is a mapping of the particle to a singular charge distribution with adjustable effective charge and shape parameters determined by the particle surface electrostatic potential. For charged spheres this method reproduces the well-known Derjaguin-Landau-Verwey-Overbeek (DLVO) potential. Further exemplary benchmarks of the method for more complicated cases, like tori, triaxial ellipsoids, and additive torus-sphere mixtures, leads to accurate closed-form integral expressions for all particle separations and orientations. The findings are relevant for determining the phase behaviour of macroions with experiments and simulations for various particle shapes.
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