Existence of Gibbs state for continuous gas with many-body interaction

DOI10.1063/1.1644323zbMath1068.82008OpenAlexW2087384399MaRDI QIDQ4833375

Alexei L. Rebenko, Oleksandr Kutoviy

Publication date: 15 December 2004

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

Full work available at URL: https://doi.org/10.1063/1.1644323

Mathematics Subject Classification ID

Continuum models (systems of particles, etc.) arising in equilibrium statistical mechanics (82B21)

Related Items (5)

The Widom -- Rowlinson model under spin flip: immediate loss and sharp recovery of quasilocality ⋮ GIBBS MEASURES OF CONTINUOUS SYSTEMS: AN ANALYTIC APPROACH ⋮ Quasicontinuous approximation in classical statistical mechanics ⋮ Quasilattice approximation of statistical systems with strong superstable interactions: Correlation functions ⋮ CELL GAS MODEL OF CLASSICAL STATISTICAL SYSTEMS

Cites Work

• Analysis and geometry on configuration spaces
• Analysis and geometry on configuration spaces: the Gibbsian case
• A new proof of Ruelle's superstability bounds
• The convergence of cluster expansion for continuous systems with many-body interaction
• The gas phase of continuous systems of hard spheres interacting via \(n\)-body potential.
• Uniqueness of Gibbs state for non-ideal gas in \(\mathbb R^d\): The case of multibody interaction
• Superstable interactions in classical statistical mechanics
• Thermodynamic states of classical systems
• HARMONIC ANALYSIS ON CONFIGURATION SPACE I: GENERAL THEORY

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