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On Stable Pair Potentials with an Attractive Tail, Remarks on Two Papers by A. G. Basuev

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Abstract

We revisit two old and apparently little known papers by Basuev (Teoret Mat Fiz 37(1):130–134, 1978, Teoret Mat Fiz 39(1):94–105, 1979) 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 (Yuhjtman in J Stat Phys 160(6): 1684–1695, 2015) 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 105 on the current best lower bound recently obtained in de Lima and Procacci (J Stat Phys 157(3):422–435, 2014).

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Authors and Affiliations

  1. Departamento de Matemática, Universidade Federal de Minas Gerais, Belo Horizonte-MG, Brazil

    Bernardo N. B. de Lima & Aldo Procacci

  2. Departamento de Matemática, Universidad de Buenos Aires, Buenos Aires, Argentina

    Sergio Yuhjtman

Authors
  1. Bernardo N. B. de Lima
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  2. Aldo Procacci
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  3. Sergio Yuhjtman
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Correspondence to Aldo Procacci.

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Communicated by H. Spohn

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de Lima, B.N.B., Procacci, A. & Yuhjtman, S. On Stable Pair Potentials with an Attractive Tail, Remarks on Two Papers by A. G. Basuev. Commun. Math. Phys. 343, 445–476 (2016). https://doi.org/10.1007/s00220-015-2529-z

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  • DOI: https://doi.org/10.1007/s00220-015-2529-z

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