Hard-sphere fluids in contact with curved substrates

Mecke K (2003)


Publication Status: Published

Publication Type: Journal article

Publication year: 2003

Journal

Publisher: AMER PHYSICAL SOC

Book Volume: 68

Journal Issue: 3

DOI: 10.1103/PhysRevE.68.031602

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 which 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.

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How to cite

APA:

Mecke, K. (2003). Hard-sphere fluids in contact with curved substrates. Physical Review E, 68(3). https://doi.org/10.1103/PhysRevE.68.031602

MLA:

Mecke, Klaus. "Hard-sphere fluids in contact with curved substrates." Physical Review E 68.3 (2003).

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