On stable pair potentials with an attractive tail, remarks on two papers by A. G. Basuev

Abstract

We revisit two old and apparently little known papers by Basuev [2] [3] and show that the results contained there yield strong improvements on current lower bounds of the convergence radius of the Mayer series for continuous particle systems interacting via a very large class of stable and tempered potentials which includes the Lennard-Jones type potentials. In particular we analyze the case of the classical Lennard-Jones gas under the light of the Basuev scheme and, using also some new results [33] on this model recently obtained by one of us, we provide a new lower bound for the Mayer series convergence radius of the classical Lennard-Jones gas which improves by a factor of the order $10^5$ on the current best lower bound recently obtained in [17].

Final version as will appear in Comm. Math. Phys

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• Cluster expansion for abstract polymer models. New bounds from an old approach
• Abstract cluster expansion with applications to statistical mechanical systems
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• Abstract polymer models with general pair interactions
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Cited by in corpus (2)

• Convergence of Mayer and Virial expansions and the Penrose tree-graph identity
• On the Mayer series of two-dimensional Yukawa gas at inverse temperature in the interval of collapse