Dobrushin uniqueness techniques and the decay of correlations in continuum statistical mechanics

DOI10.1007/BF01206012zbMath0503.60100MaRDI QIDQ1173343

David Klein

Publication date: 1982

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

zbMATH Keywords

correlation functionDobrushin techniquesgrand canonical Gibbs states

Mathematics Subject Classification ID

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

Related Items (9)

Uniqueness of continuum one-dimensional Gibbs states for slowly decaying interactions ⋮ Absence of phase transitions for continuum models of dimension d>1 ⋮ Disagreement percolation for the hard-sphere model ⋮ Disagreement percolation for Gibbs ball models ⋮ Existence of the transfer matrix formalism for a class of classical continuous gases ⋮ Decay of correlations and uniqueness of Gibbs lattice systems with nonquadratic interaction ⋮ Convergence of grand canonical Gibbs measures ⋮ A correlation decay theorem at high temperature ⋮ Uniqueness of one-dimensional continuum Gibbs states

Cites Work

• A remark on Dobrushin's uniqueness theorem
• Decay of correlations in classical lattice models at high temperature
• Random fields
• Superstable interactions in classical statistical mechanics
• LECTURES ON STATISTICAL PHYSICS
• Prescribing a System of Random Variables by Conditional Distributions
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