Document Type
Article
Publication Date
5-18-2001
Abstract
We report the results of simulations of the three-dimensional Lebwohl-Lasher model of the nematic-isotropic transition using a single cluster Monte Carlo algorithm. The algorithm, first introduced by Kunz and Zumbach to study two-dimensional nematics, is a modification of the Wolff algorithm for spin systems, and greatly reduces critical slowing down. We calculate the free energy in the neighborhood of the transition for systems up to linear size 70. We find a double well structure with a barrier that grows with increasing system size. We thus obtain an upper estimate of the value of the transition temperature in the thermodynamic limit.
Repository Citation
Priezjev, N. V.,
& Pelcovits, R. A.
(2001). Cluster Monte Carlo Simulations of the Nematic--Isotropic Transition. Physical Review E, 63 (6), 062702.
https://corescholar.libraries.wright.edu/mme/442
DOI
10.1103/PhysRevE.63.062702
