On Lennard-Jones type potentials and hard-core potentials with an attractive tail

Abstract

We revisit an old tree graph formula, namely the Brydges-Federbush tree identity, and use it to get new bounds for the convergence radius of the Mayer series for gases of continuous particles interacting via non absolutely summable pair potentials with an attractive tail including Lennard-Jones type pair potentials.

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Cited by in corpus (4)

• Convergence of Mayer and Virial expansions and the Penrose tree-graph identity
• Correlation of clusters: Partially truncated correlation functions and their decay
• The Mayer series of the Lennard-Jones gas: improved bounds for the convergence radius
• On stable pair potentials with an attractive tail, remarks on two papers by A. G. Basuev