The Onsager theory of the isotropic–nematic liquid crystal transition: Incorporation of the higher virial coefficients

B Tjipto‐Margo, GT Evans - The Journal of chemical physics, 1990 - pubs.aip.org
In the Onsager theory for the phase transition from the isotropic fluid to the nematic liquid
crystal phase, the Helmholtz free energy of a fluid of hard convex bodies (HCBs) is …

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 …

Generalized van der Waals theory of the isotropic–nematic phase transition

WM Gelbart, BA Baron - The Journal of Chemical Physics, 1977 - pubs.aip.org
We extend the generalized van der Waals (GVDW) theory to fluids of anisotropic molecules
interacting through angle‐dependent potentials which can be broken up into strong short …

The Onsager theory of the isotropic–nematic liquid–crystal transition: Biaxial particles in uniaxial phases

B Tjipto‐Margo, GT Evans - The Journal of chemical physics, 1991 - pubs.aip.org
Dense fluids of biaxial hard convex bodies exhibit a phase transition from an isotropic to a
nematic (I–N) liquid–crystalline state. In the Onsager theory, the I–N transition is attributed to …

The isotropic–nematic transition for the hard Gaussian overlap fluid: Testing the decoupling approximation

P Padilla, E Velasco - The Journal of chemical physics, 1997 - pubs.aip.org
The isotropic–nematic phase transition in a fluid of moderately long molecules interacting
via a hard Gaussian overlap potential is studied using the decoupling approximation and …

The effect of quasispherical and chainlike solutes on the nematic to isotropic phase transition in liquid crystals

GA Oweimreen, DE Martire - The Journal of Chemical Physics, 1980 - pubs.aip.org
The effects of solute molecular structure (size, shape and flexibility) and solvent molecular
structure (length‐to‐breadth ratio and end‐chain flexibility) on nematic phase stability in …

A generalisation of the Onsager trial-function approach: describing nematic liquid crystals with an algebraic equation of state

M Franco-Melgar, AJ Haslam, G Jackson - Molecular Physics, 2008 - Taylor & Francis
The molecular theory of Onsager [L. Onsager, Ann. NY Acad. Sci. 51, 627 (1949)] for liquid
crystals is developed and extended to describe ordering transitions in systems of generic …

Molecular shape and volume effects on the orientational ordering of simple liquid crystals

BA Baron, WM Gelbart - The Journal of Chemical Physics, 1977 - pubs.aip.org
The parameters characterizing the isotropic–nematic phase transition in liquid crystals have
been calculated using a generalized van der Waals theory. The molecules are assumed to …

Computations of the phase equilibrium, elastic constants, and viscosities of a hard‐rod nematic liquid crystal

SD Lee, RB Meyer - The Journal of chemical physics, 1986 - pubs.aip.org
Using an iterative solution to the Onsager integral equation for the orientational distribution
function of spherocylinders in the nematic liquid crystal phase, we have studied several …

The effect of quasispherical solutes on the nematic to isotropic transition in liquid crystals

DE Martire, GA Oweimreen, GI Ågren… - The Journal of …, 1976 - pubs.aip.org
When nonmesomorphic solutes are added to nematic liquid crystals, the nematic-isotropic
transition temperature is depressed and a two-phase region is observed. The slopes, 13M …