The virial expansion of the grand potential at spherical and planar walls
- 10 April 1987
- journal article
- research article
- Published by Taylor & Francis in Molecular Physics
- Vol. 60 (5), 977-989
- https://doi.org/10.1080/00268978700100651
Abstract
The graphs of the virial expansion of the grand potential of molecules in a spherical cavity are related to the graphs of the virial coefficients of a homogeneous gas mixture. The second virial coefficient is obtained for hard spheres in a spherical cavity with a square-well wall, and for square-well molecules in a cavity with a hard wall. The planar limit of these results is used to analyse several different proposals for separating the grand potential into a bulk and surface part for arbitrary wall potentials. It is shown that none of these is entirely satisfactory and that, for systems of arbitrary geometry, no unique division is possible.Keywords
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