Monte Carlo simulations and pair approximations on the phase transition of the restricted orientational lattice model for liquid crystals
- 30 July 1982
- journal article
- Published by IOP Publishing in Journal of Physics C: Solid State Physics
- Vol. 15 (21) , 4417-4430
- https://doi.org/10.1088/0022-3719/15/21/008
Abstract
The nematic-isotropic phase transition on the SC lattice model of uniaxial molecules is studied by Monte Carlo simulations and the pair approximation method. The interaction between nearest-neighbour sites is assumed to be proportional to (1-3 cos2theta )/2 where theta is the angle between the long axes of molecules. The models of restricted orientation with 3,4,6 and 10 directions are systematically investigated. The phase transitions are shown to be of first order. Analytical estimations by a pair approximation are in agreement with Monte Carlo results.Keywords
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