Mean Field Theory and Infinite Dimensionality in Widom—Rowlinson Model
- 1 January 1972
- journal article
- Published by AIP Publishing in The Journal of Chemical Physics
- Vol. 56 (1) , 332-336
- https://doi.org/10.1063/1.1676869
Abstract
It is known for the Ising model that the mean field theory describes exactly the limit of infinite dimensionality in the one-phase region. It is shown in this article that the same statement applies also to the Widom—Rowlinson model of penetrable cubes. This model has nonpairwise-additive, many-body interactions such as one finds in the ionic solution theory. Mayer's cluster expansion scheme is used to show that the equation of state in the limit of infinite dimensionality is identical to the mean field result.Keywords
This publication has 2 references indexed in Scilit:
- Geometrical Aspects of the Penetrable-Sphere ModelThe Journal of Chemical Physics, 1971
- New Model for the Study of Liquid–Vapor Phase TransitionsThe Journal of Chemical Physics, 1970