Ising spin glass models versus Ising models: an effective mapping at high temperature: III. Rigorous formulation and detailed proof for general graphs

DOI10.1088/1742-5468/2007/09/P09010zbMath1456.82526arXiv0706.1949OpenAlexW3102022090WikidataQ125022785 ScholiaQ125022785MaRDI QIDQ5239412

Massimo Ostilli

Publication date: 22 October 2019

Published in: Journal of Statistical Mechanics: Theory and Experiment (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0706.1949

zbMATH Keywords

networksrandom graphsdisordered systems (theory)spin glasses (theory)phase diagrams (theory)

Mathematics Subject Classification ID

Random graphs (graph-theoretic aspects) (05C80) 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) Classical equilibrium statistical mechanics (general) (82B05) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Statistical thermodynamics (82B30)

Related Items (1)

On forest expansions for two-body partition functions on tree-like interaction graphs

Cites Work

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• Principles of statistical mechanics of uncorrelated random networks
• Loop series for discrete statistical models on graphs
• Ising spin glass models versus Ising models: an effective mapping at high temperature: I. General result
• Ising spin glass models versus Ising models: an effective mapping at high temperature: II. Applications to graphs and networks

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