On the equation of state of a dense columnar liquid crystal

Abstract

An accurate description of a columnar liquid crystal of hard disks at high packing fractions is presented using an improved free-volume theory. It is shown that the orientational entropy of the disks in the one-dimensional fluid direction leads to a different high-density scaling pressure compared to the prediction from traditional cell theory. Excellent quantitative agreement is found with recent Monte-Carlo simulation results for various thermodynamic and structural properties of the columnar state.

4 pages, 2 figures, to appear in Phys. Rev. Lett

Cited by in corpus (10)

• Connectivity percolation in suspensions of hard platelets
• Phase diagram of hard colloidal platelets: a theoretical account
• Structure and thermodynamics of platelet dispersions
• Bulk phase behaviour of binary hard platelet mixtures from density functional theory
• Depletion-driven four-phase coexistences in discotic systems
• Algebraic equations of state for the liquid crystalline phase behavior of hard rods
• Elastic response of colloidal smectics: insights from microscopic theory
• Adhesion of surfaces via particle adsorption: Exact results for a lattice of fluid columns
• The spherical coordinate form of three-dimensional generalized dynamics of soft-matter quasicrystals with 12-fold symmetry
• Three-Dimensional Generalized Dynamics of Soft-Matter Quasicrystals