The infinite volume limit in generalized mean field disordered models

Details The infinite volume limit in generalized mean field disordered models The infinite volume limit in generalized mean field disordered models

2002-08-29

arxiv.org/abs/cond-mat/0208579v3

Markov Proc. Rel. Fields vol. 9 No. 2, pp. 195-207 (2003)

Physics

Condensed Matter

Disordered Systems and Neural Networks

13 pages; added references

Scientific paper

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.

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