化学学报 ›› 2003, Vol. 61 ›› Issue (10): 1561-1566. 上一篇    下一篇

研究论文

用重整化群理论研究胶体模型体系的相行为

付东;本总成;李以圭;陆九芳   

  1. 华北电力大学环境工程系(保定);清华大学化工系
  • 发布日期:2003-10-15

Investigation of the Phase Behaviour for Colloidal Model Systems by Renormalization-Group Theory

Fu Dong;Li Zongcheng;Li Yigui;Lu Jiufang   

  1. Department of Environment Engineering,North China Electric Power University;Department of Chemical Engineering, Tsinghua University
  • Published:2003-10-15

用yukawa势能函数表达胶体颗粒之间的吸引作用。用Duh-Mier-Y-Teran状态方 程表达液相Helmholtz自由能。用一阶微扰理论、固体硬球径向分布函数解析式和 改进的胞腔模型建立固相状态方程,结合建立的状态方程和重整化群理论。研究了 胶体模型体系的液-液相平衡和液-固相平衡。研究表明,颗粒之间色散作用量程参 数的变化对胶休到本世纪末茶杯 系的相行为有特殊需要影响。所得结果与分子模 拟数据吻合良好。

关键词: 胶体, 相平衡, 重整, 液固平衡, 液液平衡

The Yukawa potential was used for the attractive interaction of colloidal particles. The Duh-Mier-Y-Teran's equation of state (EOS) was used to express the Helmholtz free energy for the fluid phase. The first-order perturbation theory, the analytical expression of the radial distribution function (RDF) for the hard sphere potential in the FCC-crystal structure and the modified cell model were combined to establish the EOS for the solid phase. By using the established EOS and the renormalization-group (RG) theory, the fluid-fluid and fluid- solid equilibria for colloidal model systems were studied. Investigation shows that the attractive range parameter plays an important role in the phase transition of colloidal model systems. The obtained results agree well with the simulation data.

Key words: COLLOID, PHASE EQUILIBRIUM, REFORMING, LIQUID-SOLID EQUILIBRIUM, LIQUID-LIQUID EQUILIBRIUM

中图分类号: