论文标题
筛选的一般宏与非零粒子体积的库仑相互作用
Screened Coulomb interactions of general macroions with nonzero particle volume
论文作者
论文摘要
开发了一种半分析方法，以计算具有非变化粒子体积的刚性任意形状的宏观的有效对电势，在线性筛选理论和均值场近似中有效。该框架的基本要素是将粒子映射到奇异电荷分布，可调节有效电荷和形状参数由粒子表面静电电位确定。对于带电的球，此方法繁殖了众所周知的Derjaguin-Landau-verwey-overbeek（DLVO）电位。该方法的进一步示例性基准对于更复杂的情况，例如Tori，三轴椭圆形和添加剂圆环 - 球形混合物，可为所有粒子分离和方向提供准确的闭合形式表达式。这些发现与通过实验和各种粒子形状的实验和模拟来确定宏观行为有关。
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.
