Convergence of Mayer and Virial expansions and the Penrose tree-graph identity

DOI10.1007/s11005-016-0918-7zbMath1366.82012arXiv1508.07379OpenAlexW3100906632MaRDI QIDQ2361093

Aldo Procacci, Sergio A. Yuhjtman

Publication date: 29 June 2017

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

Full work available at URL: https://arxiv.org/abs/1508.07379

zbMATH Keywords

Mayer seriesclassical continuous gastree-graph identities

Mathematics Subject Classification ID

Trees (05C05) Continuum models (systems of particles, etc.) arising in equilibrium statistical mechanics (82B21)

Related Items (13)

Cluster expansion for the Ising model in the canonical ensemble ⋮ Virial series for a system of classical particles interacting through a pair potential with negative minimum ⋮ Convergence of cluster and virial expansions for repulsive classical gases ⋮ A correction to a remark in a paper by Procacci and Yuhjtman: new lower bounds for the convergence radius of the virial series ⋮ On the analyticity of the pressure for a non-ideal gas with high density boundary conditions ⋮ High-temperature cluster expansion for classical and quantum spin lattice systems with multi-body interactions ⋮ Absolute convergence of the free energy of the BEG model in the disordered region for all temperatures ⋮ Convergence of density expansions of correlation functions and the Ornstein-Zernike equation ⋮ Cluster Expansions for GIBBS Point Processes ⋮ Cluster expansions: necessary and sufficient convergence conditions ⋮ On the Mayer series of two-dimensional Yukawa gas at inverse temperature in the interval of collapse ⋮ Virial inversion and density functionals ⋮ Classical particles in the continuum subjected to high density boundary conditions

Cites Work

• Unnamed Item
• Unnamed Item
• On stable pair potentials with an attractive tail, remarks on two papers by A. G. Basuev
• Continuous particles in the canonical ensemble as an abstract polymer gas
• On Lennard-Jones type potentials and hard-core potentials with an attractive tail
• The Mayer series of the Lennard-Jones gas: improved bounds for the convergence radius
• A sensible estimate for the stability constant of the Lennard-Jones potential
• Coulomb systems at low density: a review.
• Erratum and addendum: ``Abstract polymer models with general pair interactions
• Cluster expansion for abstract polymer models. New bounds from an old approach
• Bounds on the Complex Zeros of (Di)Chromatic Polynomials and Potts-Model Partition Functions
• Convergence of Fugacity Expansions for Fluids and Lattice Gases

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