On the thermodynamics of the two-dimensional jellium

Abstract

Considers the two-dimensional classical jellium in a circular domain. Using a careful extrapolation method of the exact results for systems with a small number of particles (N=1, 2, 3, 4), the authors obtain an estimate of the free-energy density and the kinetic pressure in the thermodynamic limit for some discrete values of the plasma parameter 2<or= gamma <or=14. An ansatz for the free-energy density is then constructed which is in good agreement with the theoretical estimation and the numerical results of a recent Monte Carlo simulation of the system. A similar agreement is obtained for the kinetic or virial pressure.