Free energy density for continuous systems with and without superstability assumptions

DOI10.1063/1.528577zbMath0661.46067OpenAlexW1977333217MaRDI QIDQ3810373

Roman Gielerak

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1063/1.528577

zbMATH Keywords

many-body interactionsGibbs grand canonical statesuperstable in an extended sensethermodynamic limit of the free energy density for a large class of continuous, charged systems with stable and sufficiently regular many- body forcestwo-dimensional, neutral Yukawa gas in the monopole phase

Mathematics Subject Classification ID

Axiomatic quantum field theory; operator algebras (81T05) Applications of selfadjoint operator algebras to physics (46L60) Quantum equilibrium statistical mechanics (general) (82B10) Miscellaneous applications of functional analysis (46N99)

Related Items (2)

Existence of the transfer matrix formalism for a class of classical continuous gases ⋮ On the Mayer series of two-dimensional Yukawa gas at inverse temperature in the interval of collapse

Cites Work

• Convergence of grand canonical Gibbs measures
• Asymptotic expansion of the logarithm of the partition function
• Analyticity for one-dimensional systems with long-range superstable interactions
• Equilibrium equations and symmetries of classical Coulomb systems
• Geometric expansion of the boundary free energy of a dilute gas
• Vacuum energy density in \({\mathcal P}(\phi)_ 2\) theories. Independence of (non-classical) boundary conditions (modified version)
• Compactness and the maximal Gibbs state for random Gibbs fields on a lattice
• Random point processes and DLR equations
• Independence of free energy with respect to boundary conditions
• Statistical mechanics of quantum mechanical particles with hard cores. I: The thermodynamic pressure
• Superstable interactions in classical statistical mechanics
• On the DLR equation for the two-dimensional sine–Gordon model
• Rigorous Treatment of the Van Der Waals-Maxwell Theory of the Liquid-Vapor Transition
• Exact Statistical Mechanics of a One-Dimensional System with Coulomb Forces. III. Statistics of the Electric Field
• Quelques Propriétés Générales De L'intégrale De Configuration D'un Système De Particules Avec Interaction
• Statistical Theory of Equations of State and Phase Transitions. I. Theory of Condensation
• Classical and quantum statistical mechanics in one and two dimensions: two-component Yukawa- and Coulomb systems.

This page was built for publication: Free energy density for continuous systems with and without superstability assumptions