A simple one dimensional glassy Kac model

DOI10.1088/1742-5468/2007/08/P08004zbMath1456.82513arXiv0705.0054OpenAlexW2040450826MaRDI QIDQ5239386

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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/0705.0054

zbMATH Keywords

exact resultsdisordered systems (theory)structural glasses (theory)

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) Phase transitions (general) in equilibrium statistical mechanics (82B26) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Cites Work

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• Rigorous inequalities between length and time scales in glassy systems
• Two solutions to diluted \(p\)-spin models and XORSAT problems
• Satisfiability threshold for random XOR-CNF formulas
• On the dynamics of the glass transition on Bethe lattices
• 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
• Optimization problems and replica symmetry breaking in finite connectivity spin glasses
• THE KAC LIMIT FOR DILUTED SPIN GLASSES
• Gibbs states and the set of solutions of random constraint satisfaction problems

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