Convergence of grand canonical Gibbs measures

DOI10.1007/BF01210724zbMath0538.60095OpenAlexW1969901225MaRDI QIDQ793449

David Klein

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1007/bf01210724

zbMATH Keywords

existence of Gibbs statesexistence of thermodynamic limithard-core potentials

Mathematics Subject Classification ID

Random fields (60G60) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Classical equilibrium statistical mechanics (general) (82B05)

Related Items (5)

Uniqueness of continuum one-dimensional Gibbs states for slowly decaying interactions ⋮ Free energy density for continuous systems with and without superstability assumptions ⋮ Disagreement percolation for the hard-sphere model ⋮ Asymptotic Properties of Takacs-Fiksel Estimation Method for GIBBS Point Processes ⋮ Uniqueness of one-dimensional continuum Gibbs states

Cites Work

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• A remark on Dobrushin's uniqueness theorem
• Decay of correlations in classical lattice models at high temperature
• A covariance estimate for Gibbs measures
• Decay of correlations under Dobrushin's uniqueness condition and its applications
• Dobrushin uniqueness techniques and the decay of correlations in continuum statistical mechanics
• Random fields
• Stochastic processes. A survey of the mathematical theory
• Superstable interactions in classical statistical mechanics
• Prescribing a System of Random Variables by Conditional Distributions

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