Abstract
It is shown how to derive rigorous mean-field theory from a type of many-body interaction.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
M. Kac, G. E. Uhlenbeck, and P. C. Hemmer,J. Math. Phys. 4:216 (1963).
J. L. Lebowitz and O. Penrose,J. Math. Phys. 7:98 (1966).
D. J. Gates and O. Penrose,Comm. Math. Phys. 15:225 (1969);16:231 (1970);17:194 (1970).
E. H. Lieb,J. Math. Phys. 7:1016 (1966).
P. A. Pearce and C. J. Thompson,Comm. Math. Phys. 41:191 (1975).
D. J. Gates,J. Math. Phys. 12:766 (1970).
D. J. Gates,Physica 81A:47 (1975).
N. E. Frankel and C. J. Thompson, Classical Theory of Amorphous Ferromagnets, Melbourne University research report No. 19 (1975).
J. L. Lebowitz and O. Penrose,J. Stat. Phys. 3:211 (1971).
M. E. Fisher,Physics 3:255 (1967).
M. E. Fisher and B. U. Felderhof,Ann. Phys. (N. Y.) 58:176 (1970).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Gates, D.J. An alternative formulation of rigorous mean-field theory. J Stat Phys 15, 513–516 (1976). https://doi.org/10.1007/BF01020804
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01020804