FREE ENERGY IN THE GENERALIZED SHERRINGTON–KIRKPATRICK MEAN FIELD MODEL

DOI10.1142/S0129055X05002455zbMath1102.82014arXivmath/0405362OpenAlexW2066482659MaRDI QIDQ5709223

Dmitriy Panchenko

Publication date: 29 November 2005

Published in: Reviews in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0405362

zbMATH Keywords

spin glassesSherrington-Kirkpatrick modelParisi solution

Mathematics Subject Classification ID

Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30)

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Cites Work

• Unnamed Item
• The generalized Parisi formula
• On Guerra's broken replica-symmetry bound.
• On the meaning of Parisi's functional order parameter.
• The thermodynamic limit in mean field spin glass models
• Broken replica symmetry bounds in the mean field spin glass model
• A question about the Parisi functional