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)
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
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.