Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2007-10-03
Physics
Condensed Matter
Statistical Mechanics
1 Figure
Scientific paper
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.
Contucci Pierluigi
Gallo Ignacio
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