Ising spin glass models versus Ising models: an effective mapping at high temperature: II. Applications to graphs and networks

DOI10.1088/1742-5468/2006/10/P10005zbMath1456.82473arXivcond-mat/0607518MaRDI QIDQ4968893

Massimo Ostilli

Publication date: 9 July 2019

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

Full work available at URL: https://arxiv.org/abs/cond-mat/0607518

zbMATH Keywords

networksrandom graphsexact resultsdisordered systems (theory)phase diagrams (theory)

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) 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) Percolation (82B43) Critical phenomena in equilibrium statistical mechanics (82B27)

Related Items (2)

Ising spin glass models versus Ising models: an effective mapping at high temperature: III. Rigorous formulation and detailed proof for general graphs ⋮ 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
• The Ising model and percolation on trees and tree-like graphs
• On the number of circuits in random graphs
• Statistical mechanics of complex networks
• Loops of any size and Hamilton cycles in random scale-free networks
• Ising spin glass models versus Ising models: an effective mapping at high temperature: I. General result

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