The Infinite Volume Limit in Generalized Mean Field Disordered Models,

F. Guerra, C. Toninelli

2003, v.9, №2, 195-207

ABSTRACT

We generalize the strategy we recently introduced to prove the existence of the thermodynamic limit for the Sherrington- Kirkpatrick and p-spin models, to a wider class of mean field spin glass systems, including models with multi-component and non-Ising type spins, mean field spin glasses with an additional Curie-Weiss interaction, and systems consisting of several replicas of the spin glass model, where replicas are coupled with terms depending on the mutual overlaps.

Keywords: thermodynamic limit,spin glass,disorder,fluctuations,Sherrington-Kirkpatrick,replicas,overlaps

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