中国物理B ›› 1997, Vol. 6 ›› Issue (9): 671-676.doi: 10.1088/1004-423X/6/9/004

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A TWO PARTICLE CLUSTER THEORY FOR UNIAXIAL NEMATIC LIQUID CRYSTALS FORMED BY BIAXIAL MOLECULES

黄锡珉1, 张志东2   

  1. (1)Changchun Institute of Physics,Academia Sinica,Changchun 130021,China; (2)Department of Mathematics and Physics,Hebei University of Technology,Tianjin 300130, China; Changchun Institute of Physics,Academia Sinica,Changchun 130021,China
  • 收稿日期:1997-03-03 出版日期:1997-09-20 发布日期:1997-09-20
  • 基金资助:
    Project supported in part by the National Natural Science Foundation of China.

A TWO PARTICLE CLUSTER THEORY FOR UNIAXIAL NEMATIC LIQUID CRYSTALS FORMED BY BIAXIAL MOLECULES

ZHANG ZHI-DONG (张志东)ab, HUANG XI-MIN (黄锡珉)b   

  1. a Department of Mathematics and Physics,Hebei University of Technology,Tianjin 300130, China; b Changchun Institute of Physics,Academia Sinica,Changchun 130021,China
  • Received:1997-03-03 Online:1997-09-20 Published:1997-09-20
  • Supported by:
    Project supported in part by the National Natural Science Foundation of China.

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摘要： A two-particle cluster theory is presented to study uniaxial nematic liquid crystals formed by biaxial molecules, which interact with each other via dispersion forces. The equation for the molecular orientational distribution functions in two-particle cluster approximation is obtained and is solved by an terativemethod. The temperature dependences of the order parameter and of the internal energy per particle are calculated, and the values of the relevant quantities at the nematic isotropic phase transition are given. The present theory, by taking into account the short range correlations between molecules , yields improved results compared with the mean field theory.

Abstract: A two-particle cluster theory is presented to study uniaxial nematic liquid crystals formed by biaxial molecules, which interact with each other via dispersion forces. The equation for the molecular orientational distribution functions in two-particle cluster approximation is obtained and is solved by an terativemethod. The temperature dependences of the order parameter and of the internal energy per particle are calculated, and the values of the relevant quantities at the nematic isotropic phase transition are given. The present theory, by taking into account the short range correlations between molecules , yields improved results compared with the mean field theory.

中图分类号:  (Orientational order of liquid crystals; electric and magnetic field effects on order)

  • 61.30.Gd
64.70.M- (Transitions in liquid crystals)