Hard-Sphere Fluids in Contact with Curved Substrates

dc.creatorBryk, P.
dc.creatorRoth, R.
dc.creatorMecke, K. R.
dc.creatorDietrich, S.
dc.date2003-04-11
dc.date.accessioned2026-07-07T02:50:44Z
dc.date.available2026-07-07T02:50:44Z
dc.descriptionThe 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 $γ$ 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 $γ$ 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 $γ$.
dc.description15 pages, 6 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0304267
dc.identifierhttp://arxiv.org/abs/cond-mat/0304267
dc.identifierPhys. Rev. E, 68, 031602 (2003)
dc.identifierdoi:10.1103/PhysRevE.68.031602
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/21205
dc.subjectStatistical Mechanics
dc.titleHard-Sphere Fluids in Contact with Curved Substrates
dc.typetext

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