Dresden 2003 – wissenschaftliches Programm

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DY: Dynamik und Statistische Physik

DY 22: Soft matter II

DY 22.2: Vortrag

Dienstag, 25. März 2003, 11:00–11:15, G\"OR/226

Curvature Expansion of Hard-Sphere Density Profiles — •Peter-Michael Koenig, Roland Roth, Klaus Mecke, and Siegfried Dietrich — Max-Planck-Institut für Metallforschung, Heisenbergstr. 3, 70569 Stuttgart

We argue that the density profile of a hard-sphere fluid around an arbitrary shaped convex hard object can be written as a power series of both the mean and the Gaussian curvature of the underlying object. We determine the expansion coefficient functions numerically within density functional theory by studying density profiles in planar, spherical and cylindrical geometry. Using these coefficient functions we can construct the density profile of a hard-sphere fluid around any convex hard body and determine corresponding thermodynamic quantities like the surface tension and the excess adsorption. Our results confirm the prediction that thermodynamic quantities should only depend on curvature measures that are additive.