42 citations · 98 across the 20 of their papers we have counts for
6 papers · 1 filter
A confined rod: mean field theory for hard rod-like particles
Jamie M. Taylor, Thomas G. Fai, Epifanio G. Virga +2
In this paper, we model the configurations of a system of hard rods by viewing each rod in a cell formed by its neighbors. By minimizing the free energy in the model and performing…
Leaky Cell Model of Hard Spheres
Thomas G. Fai, Jamie M. Taylor, Epifanio G. Virga +2
We study packings of hard spheres on lattices. The partition function, and therefore the pressure, may be written solely in terms of the accessible free volume, i.e. the volume of…
The excluded volume of two-dimensional convex bodies: Shape reconstruction and non-uniqueness
Jamie M. Taylor
In the Onsager model of one-component hard-particle systems, the entire phase behaviour is dictated by a function of relative orientation, which represents the amount of space excl…
Contributions of Repulsive and Attractive Interactions to Nematic Order
Peter Palffy-Muhoray, Jamie M. Taylor, Epifanio G. Virga +1
Both repulsive and attractive molecular interactions can be used to explain the onset of nematic order. The object of this paper is to combine these two nematogenic molecular inter…
Density functional theory for dense nematics with steric interactions
Eduardo S. Nascimento, Peter Palffy-Muhoray, Jamie M. Taylor +2
The celebrated work of Onsager on hard particle systems, based on the truncated second order virial expansion, is valid at relatively low volume fractions for large aspect ratio pa…
Non-Gaussian chain statistics and finite extensibility in liquid crystal elastomers
Jamie M. Taylor
In this work we will derive an anisotropic generalisation of the finitely extensible chain model, due to Kuhn and Grün, which is well known in rubber elasticity. This provides a ch…