MPEJ Volume 14, No. 1, 21 pp.
Received: Nov 1, 2007. Revised: May 8, 2008. Accepted: May 16, 2008.


I.Gallo, P. Contucci
Bipartite mean field spin systems. Existence and solution


ABSTRACT: A mean field spin system consisting two interacting groups each
with homogeneous interaction coefficients is introduced and studied.
Existence of the thermodynamic limit is shown by an asymptotic
sub-addittivity method and factorization of correlation functions is proved
almost everywhere. The free energy solution of the model is obtained by
upper and lower bounds and by showing that their difference vanishes for
large volumes.

http://www.maia.ub.es/mpej/Vol/14/1.ps
http://www.maia.ub.es/mpej/Vol/14/1.pdf

http://www.ma.utexas.edu/mpej/Vol/14/1.ps
http://www.ma.utexas.edu/mpej/Vol/14/1.pdf

http://mpej.unige.ch/mpej/Vol/14/1.ps
http://mpej.unige.ch/mpej/Vol/14/1.pdf