Hard-Sphere Fluids in Contact with Curved Substrates

Abstract

The properties of a hard-sphere fluid in contact with hard spherical and cylindrical walls are studied. Rosenfeld's density functional theory (DFT) is applied to determine the density profile and surface tension $\gamma$ for wide ranges of radii of the curved walls and densities of the hard-sphere fluid. Particular attention is paid to investigate the curvature dependence and the possible existence of a contribution to $\gamma$ that is proportional to the logarithm of the radius of curvature. Moreover, by treating the curved wall as a second component at infinite dilution we provide an analytical expression for the surface tension of a hard-sphere fluid close to arbitrary hard convex walls. The agreement between the analytical expression and DFT is good. Our results show no signs for the existence of a logarithmic term in the curvature dependence of $\gamma$.

15 pages, 6 figures

References in corpus (9)

• Depletion potential in hard-sphere mixtures: theory and applications
• Wetting of Curved Surfaces
• Theory of asymmetric non-additive binary hard-sphere mixtures
• Binary hard-sphere fluids near a hard wall
• Depletion forces near curved surfaces
• Shapes, contact angles, and line tensions of droplets on cylinders
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