Two-dimensional nematics in bulk and confined geometries
arXiv:1207.3256 · doi:10.1016/j.molliq.2012.08.014
Abstract
Two-dimensional nematics possess peculiar properties that have been studied recently using computer simulation and various theoretical models. Here we review our own contribution to the field using density-functional theory, and present some preliminary simulation results on confined two-dimensional nematics. First we discuss the possible stable bulk phases and phase diagrams and the relation between phases and particle geometry. We then explore the adsorption properties on a single substrate and the confinement effects that arise when the fluid is confined between parallel walls. Next, confinement in circular cavities is presented; this geometry allows us to measure some properties of the simplest defects that arise in two-dimensional nematics. Finally, preliminary Monte Carlo simulation results of confined nematics in circular geometry are shown.
19 pages, 10 figures
References in corpus (9)
- Tetratic Order in the Phase Behavior of a Hard-Rectangle System
- Effect of particle geometry on phase transitions in two-dimensional liquid crystals
- Orientational ordering in hard rectangles: The role of three-body correlations
- Capillary ordering and layering transitions in two-dimensional hard-rod fluids
- Demixing behavior in two-dimensional mixtures of anisotropic hard bodies
- Demixing and orientational ordering in mixtures of rectangular particles
- Enhanced stability of tetratic phase due to clustering
- Density-functional study of defects in two-dimensional circular nematic nanocavities
- Phase behavior of mixtures of hard ellipses: A scaled particle density functional study
Cited by in corpus (8)
- Self-Propelled Rods: Insights and Perspectives for Active Matter
- Domain walls in two-dimensional nematics confined in a small circular cavity
- Active Brownian Rods
- Liquid crystals of hard rectangles on flat and cylindrical manifolds
- Ordering of adsorbed rigid rods mediated by the Boussinesq interaction on a soft substrate
- Confinement effects on the random sequential adsorption packings of elongated particles in a slit
- Exotic liquid crystalline phases in monolayers of vertically vibrated granular particles
- Capillary-driven biaxial planar and homeotropic nematization of hard cylinders