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Coulomb interaction symmetries and the Mayer series in the two-dimensional dipole gas

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Abstract

We study the Mayer series of the two-dimensional dipole gas in the high-temperature, low-density regime. Without performing any multiscale analysis, we obtain bounds showing that the Mayer coefficients are finite in the thermodynamic limit. These bounds are obtained by exploiting a particular partial symmetry of the interaction (which we nameO-symmetry), already used in some problems related to the two-dimensional Coulomb gas. By direct bounds on some Mayer graphs we also conjecture that any technique based uniquely on theO-symmetry will not be sufficient to prove analyticity of the series.

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Authors and Affiliations

  1. Departamento de Matemática-ICEx, UFMG, CP 702, MG 30.161-970, Belo Horizonte, Brazil

    Aldo Procacci & Armando G. M. Neves

  2. Departamento de Física-ICEx, UFMG, CP 702, MG 30.161-970, Belo Horizonte, Brazil

    Emmanuel Pereira

  3. Instituto de Física, Universidade de São Paulo, 01452, São Paulo, SP, Brazil

    Domingos H. U. Marchetti

Authors
  1. Aldo Procacci
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  2. Emmanuel Pereira
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  3. Armando G. M. Neves
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  4. Domingos H. U. Marchetti
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Procacci, A., Pereira, E., Neves, A.G.M. et al. Coulomb interaction symmetries and the Mayer series in the two-dimensional dipole gas. J Stat Phys 87, 877–889 (1997). https://doi.org/10.1007/BF02181248

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  • DOI: https://doi.org/10.1007/BF02181248

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