Hard rectangles near curved hard walls: tuning the sign of the Tolman length

Abstract

Combining analytic calculations, computer simulations, and classical density functional theory we determine the interfacial tension of orientable two-dimensional hard rectangles near a curved hard wall. Both a circular cavity holding the particles and a hard circular obstacle surrounded by particles are considered. We focus on moderate bulk densities (corresponding to area fractions up to 50 percent) where the bulk phase is isotropic and vary the aspect ratio of the rectangles and the curvature of the wall. The Tolman length, which gives the leading curvature correction of the interfacial tension, is found to change sign at a finite density, which can be tuned via the aspect ratio of the rectangles.

arXiv comment15 pages, 6 figures

References in corpus (29)

• Two-step melting in two dimensions: First-order liquid-hexatic transition
• Dynamic Density Functional Theory of Fluids
• Dynamical density functional theory and its application to spinodal decomposition
• Phase-field-crystal models for condensed matter dynamics on atomic length and diffusive time scales: an overview
• Direct calculation of the hard-sphere crystal/melt interfacial free energy
• Morphological Thermodynamics of Fluids: Shape Dependence of Free Energies
• Curvature Dependence of Surface Free Energy of Liquid Drops and Bubbles: A Simulation Study
• Large-Scale Simulations of the Two-Dimensional Melting of Hard Disks
• Tension and stiffness of the hard sphere crystal-fluid interface
• Crystallization seeds favour crystallization only during initial growth
• Hard-Sphere Fluids in Contact with Curved Substrates
• Dynamical density functional theory for colloidal particles with arbitrary shape
• Effect of particle geometry on phase transitions in two-dimensional liquid crystals
• Description of hard sphere crystals and crystal-fluid interfaces: a critical comparison between density functional approaches and a phase field crystal model
• Confinement of two-dimensional rods in slit pores and square cavities
• Freezing of parallel hard cubes with rounded edges
• Criticality and phase separation in a two-dimensional binary colloidal fluid induced by the solvent critical behavior
• Ordering and Dynamics of Vibrated Hard Squares
• Domain walls in two-dimensional nematics confined in a small circular cavity
• Ordering in granular rod monolayers driven far from thermodynamic equilibrium
• Determination of the positions and orientations of concentrated rod-like colloids from 3D microscopy data
• Interfacial free energy of a hard-sphere fluid in contact with curved hard surfaces
• Monolayers of hard rods on planar substrates: I. Equilibrium
• Capillary ordering and layering transitions in two-dimensional hard-rod fluids
• Bending rigidity and higher order curvature terms for the hard-sphere fluid near a curved wall
• The existence of a bending rigidity for a hard sphere liquid near a curved hard wall: Helfrich or Hadwiger?
• Liquid-crystal patterns of rectangular particles in a square nanocavity
• A Landau-de Gennes theory for hard colloidal rods: defects and tactoids
• Wall-liquid and wall-crystal interfacial free energies via thermodynamic integration: A molecular dynamics simulation study

Cited by in corpus (5)

• Classical dynamical density functional theory: from fundamentals to applications
• Phase diagram of two-dimensional hard rods from fundamental mixed measure density functional theory
• Liquid crystals of hard rectangles on flat and cylindrical manifolds
• When does Wenzel's extension of Young's equation for the contact angle of droplets apply? A density functional study
• Confinement effects on the random sequential adsorption packings of elongated particles in a slit