Virial expansion bounds

DOI10.1007/s10955-013-0831-8zbMath1296.82039arXiv1303.6444OpenAlexW3103839326MaRDI QIDQ2016503

Stephen James Tate

Publication date: 20 June 2014

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

Full work available at URL: https://arxiv.org/abs/1303.6444

zbMATH Keywords

convergenceboundscluster expansionLambert W-functionvirial expansion

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Statistical mechanics of gases (82D05)

Related Items

Virial series for a system of classical particles interacting through a pair potential with negative minimum ⋮ On Lennard-Jones type potentials and hard-core potentials with an attractive tail ⋮ Multispecies virial expansions ⋮ A solution to the combinatorial puzzle of Mayer's virial expansion ⋮ Virial inversion and density functionals ⋮ The virial series for a gas of particles with uniformly repulsive pairwise interaction and its relation with the approach to the mean field

Cites Work

• Continuous particles in the canonical ensemble as an abstract polymer gas
• Mayer and virial series at low temperature
• Cluster expansion in the canonical ensemble
• Lagrange inversion: when and how
• Abstract polymer models with general pair interactions
• Abstract cluster expansion with applications to statistical mechanical systems
• Two theorems on classical many-particle systems
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