论文信息 - Phase Transitions of the Classical Hard‐Ellipse System

Phase Transitions of the Classical Hard‐Ellipse System

By Monte Carlo calculations in the canonical ensemble, we have studied some properties of a two‐dimensional system of 170 long hard ellipses (whose axis ratio equals 6). This system can be considered as a two‐dimensional model for a nematic liquid crystal. We have shown that this system exhibits two first‐order phase transitions: a solid‐nematic type phase transition at high density and a disorientation phase transition at a density 1.5 times smaller. This result suggests that excluded volume effects might play an essential role in the disorientation phase transition of nematic liquid crystals.

Jacques Vieillard‐Baron | J. Vieillard‐Baron

[1] E. Bauer,et al. La dilatation du paraazoxyphénétol et la nature du changement de phase, état mésomorphe-liquide isotrope , 1936 .

[2] L. Verlet. Computer "Experiments" on Classical Fluids. II. Equilibrium Correlation Functions , 1968 .

[3] J. Timmermans. Plastic crystals: A historical review , 1961 .

[4] R. Zwanzig. First-Order Phase Transition in a Gas of Long Thin Rods , 1963 .

[5] I. Chistyakov. Reviews of Topical Problems: Liquid Crystals , 1967 .

[6] B. Alder,et al. Phase Transition in Elastic Disks , 1962 .

[7] B. Alder,et al. Studies in Molecular Dynamics. II. Behavior of a Small Number of Elastic Spheres , 1960 .

[8] Aneesur Rahman,et al. Correlations in the Motion of Atoms in Liquid Argon , 1964 .

[9] W. W. Wood,et al. Equation of State of Classical Hard Spheres at High Density , 1962 .

[10] A. Isihara. Theory of Anisotropic Colloidal Solutions , 1951 .

[11] D. G. Beech,et al. Handbook of Statistical Tables. , 1962 .

[12] F. R. Parker,et al. Monte Carlo Equation of State of Molecules Interacting with the Lennard‐Jones Potential. I. A Supercritical Isotherm at about Twice the Critical Temperature , 1957 .