Virial expansions in an inhomogeneous system
- 9 December 1985
- journal article
- Published by The Royal Society in Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
- Vol. 402 (1822) , 67-82
- https://doi.org/10.1098/rspa.1985.0108
Abstract
The grand potential, the density and the molecular distribution functions are obtained in the form of virial expansions for systems of arbitrary size and inhomogeneity by using an external field to replace the conventional fixed geometric boundaries of a system. The equations are applied first to the calculation of the density and of different representations of the pressure tensor for a system of gaussian (repulsive) molecules in a simple harmonic potential, and, secondly, to obtaining an expression for the isosteric heat of absorption of interacting molecules in the pores of a zeolite.Keywords
This publication has 9 references indexed in Scilit:
- Potential reliefs and sorption thermodynamic characteristics of non-polar molecules in relation to their mobility in NaX zeoliteZeolites, 1984
- Molecular theory of the liquid surfacePhysica B: Condensed Matter, 1984
- The pressure tensor at the planar surface of a liquidMolecular Physics, 1983
- Statistical mechanics of a fluid dropProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1982
- Statistical mechanics of inhomogeneous fluidsProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1982
- The surface second virial coefficientMolecular Physics, 1980
- Thermodynamics of interfacial monolayersAdvances in Colloid and Interface Science, 1980
- Fourth virial coefficient for a hard-sphere gas interacting with a hard wallPhysical Review A, 1978
- Statistical mechanics of surface phenomena: I. A cluster expansion for the surface tensionPhysica, 1962