Equivalences of the large deviation principle for Gibbs measures and critical balance in the Ising model

DOI10.1007/BF02180201zbMath0935.82009OpenAlexW2041711402MaRDI QIDQ1285194

Jiaming Sun, Prescilla E. Greenwood

Publication date: 9 May 2000

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

Full work available at URL: https://doi.org/10.1007/bf02180201

zbMATH Keywords

Ising modelGibbs measureslarge-deviation principle

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Large deviations (60F10) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (2)

Colligative properties of solutions. I: Fixed concentrations ⋮ Colligative properties of solutions. II: Vanishing concentrations

Cites Work

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• Large deviations for the 2D Ising model: A lower bound without cluster expansions
• Slow droplet-driven relaxation of stochastic Ising models in the vicinity of the phase coexistence region
• Constrained variational problem with applications to the Ising model.
• Complete analyticity for 2D Ising completed
• Exact large deviation bounds up to \(T_ c\) for the Ising model in two dimensions
• Sequences of capacities, with connections to large-deviation theory
• Upper bounds for large deviations of dependent random vectors
• Convex Analysis

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