The Onsager‐type theory for nematic ordering of finite‐length hard ellipsoids

SD Lee - The Journal of chemical physics, 1988 - pubs.aip.org
MC 0.517 0.507 9.786 25.1 Ref. 4 0.484 0.472 7.76 22.3 0.561 Ref. 5 0.330 0.309 0.547
Ref. 6 0.4375 0.4199 5.310 0.5677 Ref. 7 0.494 0.493 0.017 Present work 0.5173 0.5081 …

Finite-density Onsager-type theory for the isotropic-nematic transition of hard ellipsoids

M Baus, JL Colot, XG Wu, H Xu - Physical review letters, 1987 - APS
We propose a simple density-functional theory for the isotropic-nematic transition of a
system of hard ellipsoids which yields results in fair agreement with the computer simulation …

Density-functional, Landau, and Onsager theories of the isotropic-nematic transition of hard ellipsoids

JL Colot, XG Wu, H Xu, M Baus - Physical Review A, 1988 - APS
We propose a density-functional theory for the isotropic-nematic transition of hard ellipsoids
which is in fair quantitative agreement with the recent computer simulations of this system …

A numerical investigation of nematic ordering based on a simple hard‐rod model

SD Lee - The Journal of chemical physics, 1987 - pubs.aip.org
On the basis of a simple functional scaling, we have constructed the direct generalization of
the Carnahan–Starling equation for the free energy of a hard sphere fluid to a nematic liquid …

Phase transitions of the classical hard‐ellipse system

J Vieillard‐Baron - The Journal of Chemical Physics, 1972 - pubs.aip.org
By Monte Carlo calculations in the canonical ensemble, we have studied some properties of
a twodimensional system of 170 long hard ellipses (whose axis ratio equals 6). This system …

The isotropic to nematic liquid crystal transition for hard ellipsoids: An Onsager-like theory and computer simulations

A Samborski, GT Evans, CP Mason, MP Allen - Molecular Physics, 1994 - Taylor & Francis
The phase transition from an isotropic to a nematic phase for a classical fluid of hard
ellipsoids has been studied using a version of a theory originally due to Onsager and by …

Density-functional theory of the nematic phase: results for a system of hard ellipsoids of revolution

J Ram, Y Singh - Physical Review A, 1991 - APS
A second-order density-functional theory is used to study the isotropic-nematic transition in a
system of hard ellipsoids of revolution. The direct pair-correlation functions of the coexisting …

A re‐examination of the phase diagram of hard spherocylinders

SC McGrother, DC Williamson… - The Journal of chemical …, 1996 - pubs.aip.org
The phase transitions exhibited by systems of hard spherocylinders, with a diameter D and
cylinder length L, are re‐examined with the isothermal–isobaric Monte Carlo (MC‐NPT) …

Hard spherocylinders in an anisotropic mean field: a simple model for a nematic liquid crystal

MA Cotter - The Journal of Chemical Physics, 1977 - pubs.aip.org
A simple model for a nematic liquid crystal is presented, in which the short‐range
intermolecular repulsions are represented by repulsions between hard spherocylinders, and …

Nematic ordering of hard rods derived from a scaled particle treatment

G Lasher - The Journal of Chemical Physics, 1970 - pubs.aip.org
A fluid of hard rods is considered as a model for nematic liquid crystals. A direct application
of the scaled particle approach results in an inconsistent thermodynamics. A simplified …