6533b7d2fe1ef96bd125ed06

RESEARCH PRODUCT

Fluids of hard ellipsoids: Phase diagram including a nematic instability from Percus-Yevick theory

Martin LetzArnulf Latz

subject

DiagramIsotropyMonte Carlo methodFOS: Physical sciencesCondensed Matter - Soft Condensed MatterInstabilityCondensed Matter::Soft Condensed MatterClassical mechanicsLiquid crystalOrientation (geometry)Phase (matter)Soft Condensed Matter (cond-mat.soft)Statistical physicsPhase diagramMathematics

description

An important aspect of molecular fluids is the relation between orientation and translation parts of the two-particle correlations. Especially the detailed knowledge of the influence of orientation correlations is needed to explain and calculate in detail the occurrence of a nematic phase. The simplest model system which shows both orientation and translation correlations is a system of hard ellipsoids. We investigate an isotropic fluid formed of hard ellipsoids with Percus-Yevick theory. Solving the Percus-Yevick equations self-consistently in the high density regime gives a clear criterion for a nematic instability. We calculate in detail the equilibrium phase diagram for a fluid of hard ellipsoids of revolution. Our results compare well with Monte Carlo Simulations and density functional theory.

https://doi.org/10.1103/physreve.60.5865