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The statistical mechanics of the classical two-dimensional Coulomb gas is exactly solved

L. Samaj
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Abstract

The model under consideration is a classical 2D Coulomb gas of pointlike positive and negative unit charges, interacting via a logarithmic potential. In the whole stability range of temperatures, the equilibrium statistical mechanics of this fluid is exactly solvable via an equivalence with the integrable 2D sine-Gordon field theory. The exact solution includes the bulk thermodynamics, special cases of the surface thermodynamics, and the large-distance asymptotic behavior of the two-body correlation functions.

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L. Samaj. 2002-12-16. The statistical mechanics of the classical two-dimensional Coulomb gas is exactly solved. https://doi.org/10.1088/0305-4470%2F36%2F22%2F312

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