Abstract
An exact solution is given for a two-dimensional model of a Coulomb gas, more general than the previously solved ones. The system is made up of a uniformly charged background, positive particles, and negative particles, on the surface of a sphere. At the special value Γ=2 of the reduced inverse temperature, the classical equilibrium statistical mechanics is worked out: the correlations and the grand potential are calculated. The thermodynamic limit is taken, and as it is approached the grand potential exhibits a finite-size correction of the expected universal form.
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Laboratoire associé au Centre National de la Recherche Scientifique-URA D0063.
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Forrester, P.J., Jancovici, B. The two-dimensional two-component plasma plus background on a sphere: Exact results. J Stat Phys 84, 337–357 (1996). https://doi.org/10.1007/BF02179646
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DOI: https://doi.org/10.1007/BF02179646