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.

15 pages, 6 figures

References in corpus (6)

• Phase-field-crystal models for condensed matter dynamics on atomic length and diffusive time scales: an overview
• 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
• Determination of the positions and orientations of concentrated rod-like colloids from 3D microscopy data
• Capillary ordering and layering transitions in two-dimensional hard-rod fluids

Cited by in corpus (4)

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• Phase diagram of two-dimensional hard rods from fundamental mixed measure density functional theory
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• Confinement effects on the random sequential adsorption packings of elongated particles in a slit