Renewal properties of the d = 1 Ising model

DOI10.1142/S0129055X18500186zbMath1400.82008arXiv1710.02466MaRDI QIDQ4684227

Immacolata Merola, Errico Presutti, Marzio Cassandro

Publication date: 27 September 2018

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

Full work available at URL: https://arxiv.org/abs/1710.02466

zbMATH Keywords

1D Ising modelrenewal processcluster expansioncoarse grainingKac potential

Mathematics Subject Classification ID

Classical equilibrium statistical mechanics (general) (82B05) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Renewal theory (60K05)

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Cites Work

• Unnamed Item
• On the Gibbs phase rule in the Pirogov-Sinai regime
• One-dimensional random field Kac's model: localization of the phases
• Tunneling in two dimensions
• Scaling limits in statistical mechanics and microstructures in continuum mechanics
• Cluster expansion for abstract polymer models
• The low-temperature phase of Kac-Ising models
• Interfaces and typical Gibbs configurations for one-dimensional Kac potentials
• Typical configurations for one-dimensional random field Kac model
• Energy levels of a nonlocal functional
• On the van der Waals Theory of the Vapor-Liquid Equilibrium. III. Discussion of the Critical Region
• On the van der Waals Theory of the Vapor-Liquid Equilibrium. II. Discussion of the Distribution Functions
• On the van der Waals Theory of the Vapor-Liquid Equilibrium. I. Discussion of a One-Dimensional Model
• Rigorous Treatment of the Van Der Waals-Maxwell Theory of the Liquid-Vapor Transition
• Metastability

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