Spin glass models with Kac interactions

DOI10.1140/epjb/e2008-00287-5zbMath1189.82054arXiv0806.0749OpenAlexW1970744705MaRDI QIDQ978602

J. Martínez

Publication date: 25 June 2010

Published in: The European Physical Journal B. Condensed Matter and Complex Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0806.0749

Mathematics Subject Classification ID

Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Classical equilibrium statistical mechanics (general) (82B05)

Cites Work

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• The thermodynamic limit in mean field spin glass models
• Rigorous treatment of metastable states in the van der Waals-Maxwell theory
• Finite-range spin glasses in the Kac limit: free energy and local observables
• Analytic determination of dynamical and mosaic length scales in a Kac glass model
• Rigorous Treatment of the Van Der Waals-Maxwell Theory of the Liquid-Vapor Transition
• THE KAC LIMIT FOR DILUTED SPIN GLASSES
• Some comments on the connection between disordered long range spin glass models and their mean field version