The infinite volume limit in generalized mean field disordered models

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.

13 pages; added references

References in corpus (2)

• Broken Replica Symmetry Bounds in the Mean Field Spin Glass Model
• Thermodynamical Limit for Correlated Gaussian Random Energy Models

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