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Two-Dimensional One-Component Plasma on Flamm’s Paraboloid

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Abstract

We study the classical non-relativistic two-dimensional one-component plasma at Coulomb coupling Γ=2 on the Riemannian surface known as Flamm’s paraboloid which is obtained from the spatial part of the Schwarzschild metric. At this special value of the coupling constant, the statistical mechanics of the system are exactly solvable analytically. The Helmholtz free energy asymptotic expansion for the large system has been found. The density of the plasma, in the thermodynamic limit, has been carefully studied in various situations.

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Authors and Affiliations

  1. Istituto Nazionale per la Fisica della Materia and Dipartimento di Chimica Fisica, Università di Venezia, S. Marta DD 2137, 30123, Venezia, Italy

    Riccardo Fantoni

  2. Grupo de Física Téorica de la Materia Condensada, Departamento de Física, Universidad de Los Andes, A.A. 4976, Bogotá, Colombia

    Gabriel Téllez

Authors
  1. Riccardo Fantoni
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  2. Gabriel Téllez
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Correspondence to Gabriel Téllez.

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Fantoni, R., Téllez, G. Two-Dimensional One-Component Plasma on Flamm’s Paraboloid. J Stat Phys 133, 449–489 (2008). https://doi.org/10.1007/s10955-008-9616-x

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  • DOI: https://doi.org/10.1007/s10955-008-9616-x

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