Exact results for a two-dimensional one-component plasma on a sphere

J.M. Caillol

In order to study the properties of the two-dimensional classical one-component plasma, we propose to confine the particles to the surface of a sphere. For a special value To of the temperature, the partition and the distribution function can be calculated explicitly. The thermodynamic limit of this system coincides, for T = To, with the one obtained previously for a planar system.

Mots clés: plasma theory; statistical mechanics; thermodynamics; two dimensional one component plasma; sphere; distribution function; thermodynamic limit; partition function; equilibrium statistical mechanics

Domaines: Articles anciens

J.M. Caillol. Exact results for a two-dimensional one-component plasma on a sphere. Journal de Physique Lettres, 1981, 42 (12), pp.245-247. ⟨10.1051/jphyslet:019810042012024500⟩. ⟨jpa-00231919⟩