A Two-Particle Cluster Theory of the Transformed Chiral System for Liquid Crystals.
- Resource Type
- Article
- Authors
- Zhidong, Zhang; Jinwei, Liu; Wu, Zhang
- Source
- International Journal of Modern Physics B: Condensed Matter Physics; Statistical Physics; Applied Physics. 2/20/2000, Vol. 14 Issue 5, p475. 9p.
- Subject
- *PARTICLES
*CHIRALITY
*PHYSICS
- Language
- ISSN
- 0217-9792
The chiral molecules are confined to the sites of a simple cubic lattice with their long axes in the XY-plane and the helix axis along the Z direction. The intermolecular interaction takes the form proposed by van der Meer et al. which is the simplest possible for chiral nematic liquid crystals. The chiral potential can thus be transformed to that for an achiral system but with different interactions between molecules in the same layer and those in neighboring layers. We have presented a generalized two-particle cluster theory which is suited for treating the model system with different neighboring intermolecular interactions. Such a theory has been used to study the transformed chiral system. The equation for the equilibrium distribution is solved by an iterative method. The temperature dependences of the order parameters T[sub 2] and T[sub 4] and of the internal energy per particle are calculated. The single orientational distribution function is shown at the scaled temperature t = 2.3, i.e. near the phase transition in the simulation. The present theory, taking into account the short range correlations between molecules, yields improved results compared with the mean field theory. [ABSTRACT FROM AUTHOR]