A theoretical study of the Lebwohl-Lasher model in higher dimensions
- 1 September 1989
- journal article
- research article
- Published by Taylor & Francis in Molecular Physics
- Vol. 68 (1) , 181-189
- https://doi.org/10.1080/00268978900102041
Abstract
We re-examine the Lebwohl-Lasher model of the isotropic-nematic liquid crystal phase transition as a function of dimensionality d, using the Bethe-Peierls approximation. Our results suggest that the transition temperature approaches the mean-field limit asymptotically as d -1, not, as suggested by recent computer simulations, as d -1·5.Keywords
This publication has 7 references indexed in Scilit:
- Finite-size effects at temperature-driven first-order transitionsPhysical Review B, 1986
- A Molecular Statistical Calculation of Pretransitional Effects in Nematic Liquid CrystalsMolecular Crystals and Liquid Crystals, 1976
- A molecular statistical treatment of pretransitional effects in nematic liquid crystalsJournal de Physique, 1976
- Exact solution of the Maier-Saupe model for a nematic liquid crystal on a one-dimensional latticeJournal of Physics C: Solid State Physics, 1973
- Ordering, metastability and phase transitions in two-dimensional systemsJournal of Physics C: Solid State Physics, 1973
- Classical Heisenberg Magnet in Two DimensionsPhysical Review B, 1970
- Possibility of a Phase Transition for the Two-Dimensional Heisenberg ModelPhysical Review Letters, 1966