Phase behavior and free interfaces of a lattice-gas nematic-liquid-crystal model

M A  Bates

doi:10.1103/PhysRevE.65.041706

Phase behavior and free interfaces of a lattice-gas nematic-liquid-crystal model

M A Bates

Chemistry

Research output: Contribution to journal › Article › peer-review

Abstract

The phase behavior of a mesogenic lattice-gas model consisting of molecules located at the sites of a three-dimensional cubic lattice has been studied using grand canonical Monte Carlo simulations. When two neighboring sites are occupied, the molecules interact via a potential composed of an isotropic lattice-gas (LG) term and an anisotropic Humphries-Luckhurst-Romano (HLR) term [Mol. Phys. 42, 1205 (1981)]. The LGHLR model is shown to exhibit either nematic-isotropic, nematic-vapor (NV), and isotropic-vapor (IV) coexistence or just nematic-isotropic fluid coexistence, depending on the strength of the isotropic term. The liquid-vapor (i.e., NV and IV) interfaces were studied using canonical Monte Carlo simulations. By controlling the strength of the term that governs the anisotropy in the attractive forces, either planar or homeotropic anchoring is observed at the NV interface. The temperature dependencies of the density and order parameter profiles across the interfaces are determined for these two anchoring geometries.

Original language	English
Pages (from-to)	-
Number of pages	8
Journal	Physical Review E
Volume	65
Issue number	4
DOIs	https://doi.org/10.1103/PhysRevE.65.041706
Publication status	Published - Apr 2002

Keywords

MOLECULAR-DYNAMICS SIMULATION
COMPUTER-SIMULATION
ISOTROPIC INTERFACE
FREE SURFACES
TRANSITION
ORDER

Access to Document

10.1103/PhysRevE.65.041706

Cite this

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title = "Phase behavior and free interfaces of a lattice-gas nematic-liquid-crystal model",

abstract = "The phase behavior of a mesogenic lattice-gas model consisting of molecules located at the sites of a three-dimensional cubic lattice has been studied using grand canonical Monte Carlo simulations. When two neighboring sites are occupied, the molecules interact via a potential composed of an isotropic lattice-gas (LG) term and an anisotropic Humphries-Luckhurst-Romano (HLR) term [Mol. Phys. 42, 1205 (1981)]. The LGHLR model is shown to exhibit either nematic-isotropic, nematic-vapor (NV), and isotropic-vapor (IV) coexistence or just nematic-isotropic fluid coexistence, depending on the strength of the isotropic term. The liquid-vapor (i.e., NV and IV) interfaces were studied using canonical Monte Carlo simulations. By controlling the strength of the term that governs the anisotropy in the attractive forces, either planar or homeotropic anchoring is observed at the NV interface. The temperature dependencies of the density and order parameter profiles across the interfaces are determined for these two anchoring geometries.",

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AB - The phase behavior of a mesogenic lattice-gas model consisting of molecules located at the sites of a three-dimensional cubic lattice has been studied using grand canonical Monte Carlo simulations. When two neighboring sites are occupied, the molecules interact via a potential composed of an isotropic lattice-gas (LG) term and an anisotropic Humphries-Luckhurst-Romano (HLR) term [Mol. Phys. 42, 1205 (1981)]. The LGHLR model is shown to exhibit either nematic-isotropic, nematic-vapor (NV), and isotropic-vapor (IV) coexistence or just nematic-isotropic fluid coexistence, depending on the strength of the isotropic term. The liquid-vapor (i.e., NV and IV) interfaces were studied using canonical Monte Carlo simulations. By controlling the strength of the term that governs the anisotropy in the attractive forces, either planar or homeotropic anchoring is observed at the NV interface. The temperature dependencies of the density and order parameter profiles across the interfaces are determined for these two anchoring geometries.

KW - MOLECULAR-DYNAMICS SIMULATION

KW - COMPUTER-SIMULATION

KW - ISOTROPIC INTERFACE

KW - FREE SURFACES

KW - TRANSITION

KW - ORDER

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