The theoretical model, which is based on the density functional approach, has been developed for studying the electrostatic properties of colloidal dispersions (modified colloidal primitive model; MCPM) containing hard-spherical ions with a homogeneous surface charge distribution. The mean-spherical approximation for the multi-component charged ions has been used to account for the electrostatic ion correlation effects. The present study reflects the importance of the charge distribution of macroion in determining the ionic structure and mean forces acting on the macroions. Compared with the MCPM, the colloidal primitive model (CPM), on which the colloidal charge is assumed to be in the center of particle, shows very long-range electrostatic properties and mean force acting on the macroions because of the strong cross correlation between the hard-sphere contribution and the Coulomb interaction. The long-range attractions and repulsions in the charged colloidal dispersions originate from the entropic effects and are found at high packing fractions of the colloidal ions.

已经开发了基于密度泛函方法的理论模型，用于研究包含具有均匀表面电荷分布的硬球形离子的胶体分散体的静电性质（改进的胶体原始模型； MCPM）。多组分带电离子的平均球面近似已用于说明静电离子相关效应。本研究反映了在确定离子结构和作用在大分子上的平均力方面，大分子的电荷分布的重要性。与MCPM相比，假定胶体电荷位于粒子中心的胶体原始模型（CPM），由于硬球贡献与库仑相互作用之间具有很强的互相关性，因此显示了非常长的静电特性和作用在大分子上的平均力。带电胶体分散液中的长距离引力和排斥力来自熵效应，并在胶体离子的高填充分数下发现。