Abstract: Mathematical models for particle adsorbing polymer chains from polyelelctrolyte solution and the interaction between two particles adsorbing polymer were derived by adopting predecessor-determined random walk model (PDRWM) on the basis of self-consistent field and statistical thermodynamics. The interactions among particle, polymer segment and solvent molecule, as well as the effect of charged groups in polymer chains were taken into account in these models. The profile of segment density distribution was derived. The change of free energy of the interaction between two particles adsorbing polymer was also derived according to the change in particle surface free energy.

摘要： 以自洽场 (CSF)理论为基础 ,综合粒子、溶剂分子和聚合物链节之间的相互作用及聚合物分子链电荷的作用对粒子在溶液中吸附聚合物的影响 ,采用前末端链节决定随机行走模型 (PRDWM)建立了粒子在聚合物溶液中吸附平衡后的粒子表面的链节密度分布的数学模型———链节密度分布函数 ,并通过吸附前后粒子表面自由能的变化建立了吸附聚合物分子链的粒子间的相互作用势能模型