The two-dimensional two-component plasma plus background on a sphere : Exact results

Details The two-dimensional two-component plasma plus background on a sphere : Exact results The two-dimensional two-component plasma plus background on a sphere : Exact results

1995-09-19

arxiv.org/abs/cond-mat/9509112v2

J.Stat.Phys. 84 (1996) 337

Physics

Condensed Matter

23 pages, Plain TeX

Scientific paper

10.1007/BF02179646

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 of a uniformly charged background, positive particles, and negative particles, on the surface of a sphere. At the special value $\Gamma = 2$ 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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