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

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

2002-12-16

arxiv.org/abs/cond-mat/0212365v1

J.Phys.A36:5913-5920,2003

Physics

Condensed Matter

Statistical Mechanics

Talk presented at the SCCS02 meeting in Santa Fe, to appear in J.Phys. A: Math. Gen

Scientific paper

10.1088/0305-4470/36/22/312

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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