A mean-field monomer-dimer model with attractive interaction: Exact solution and rigorous results

DOI10.1063/1.4881725zbMath1296.82071arXiv1311.6551OpenAlexW3098590574WikidataQ58295685 ScholiaQ58295685MaRDI QIDQ5171410

Emanuele Mingione, Pierluigi Contucci, Diego Alberici

Publication date: 26 July 2014

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

Full work available at URL: https://arxiv.org/abs/1311.6551

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Statistical mechanics of polymers (82D60) Critical phenomena in equilibrium statistical mechanics (82B27) Statistical mechanics of magnetic materials (82D40)

Related Items (10)

A Pfaffian formula for monomer-dimer partition functions ⋮ Finite-size corrections for the attractive mean-field monomer-dimer model ⋮ Limit theorems for monomer-dimer mean-field models with attractive potential ⋮ Mean-Field Monomer-Dimer Models. A Review ⋮ Cramér-type moderate deviation theorems for nonnormal approximation ⋮ Two populations mean-fields monomer-dimer model ⋮ Nematic liquid crystal phase in a system of interacting dimers and monomers ⋮ A mean-field monomer-dimer model with randomness: exact solution and rigorous results ⋮ Limit theorems in the imitative monomer-dimer mean-field model via Stein’s method ⋮ Inverse problem for the mean-field monomer-dimer model with attractive interaction

Cites Work

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• Matchings on infinite graphs
• Solution of the monomer-dimer model on locally tree-like graphs. Rigorous results
• Theory of monomer-dimer systems
• The number of matchings in random graphs
• Mathematical aspects of mean field spin glass theory
• Statistical theory of the adsorption of double molecules

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