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Coulomb interaction symmetries and the Mayer series in the two-dimensional dipole gas (1997)

Procacci, Aldo ; Pereira, Emmanuel ; Neves, Armando G. M. ; [et al.]

Springer

Journal of statistical physics 87 (1997), S. 877-889

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ISSN: 1572-9613

Keywords: Coulomb interaction symmetries ; Mayer series ; two-dimensional dipole gas

Source: Springer Online Journal Archives 1860-2000

Topics: Physics

Notes: 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.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF02181248

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