Universality in some classical Coulomb systems of restricted dimension

Abstract

Coulomb systems in which the particles interact through the d-dimensional Coulomb potential but are confined in a flat manifold of dimension d - 1 are considered. The actual Coulomb potential acting is defined by particular boundary conditions involving a characteristic macroscopic distance W in the direction perpendicular to the manifold: either it is periodic of period W in that direction, or it vanishes on one ideal conductor wall parallel to the manifold at a distance W from it, or it vanishes on two parallel walls at a distance W from each other with the manifold equidistant from them. Under the assumptions that classical equilibrium statistical mechanics is applicable and that the syst..