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Acta Physica Sinica (Overseas Edition), 1997, Vol. 6(9): 671-676    DOI: 10.1088/1004-423X/6/9/004
THE PHYSICS OF ELEMENTARY PARTICLES AND FIELDS Prev   Next  

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
a Department of Mathematics and Physics,Hebei University of Technology,Tianjin 300130, China; b Changchun Institute of Physics,Academia Sinica,Changchun 130021,China
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.
Received:  03 March 1997      Accepted manuscript online: 
PACS:  61.30.Gd (Orientational order of liquid crystals; electric and magnetic field effects on order)  
  64.70.M- (Transitions in liquid crystals)  
Fund: Project supported in part by the National Natural Science Foundation of China.

Cite this article: 

ZHANG ZHI-DONG (张志东), HUANG XI-MIN (黄锡珉) A TWO PARTICLE CLUSTER THEORY FOR UNIAXIAL NEMATIC LIQUID CRYSTALS FORMED BY BIAXIAL MOLECULES 1997 Acta Physica Sinica (Overseas Edition) 6 671

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