Peter J. Forrester

Large $N$ expansions of the partition function for Coulomb systems on the surface of a cylinder

The two-dimensional one-component plasma forms a droplet in the case that the one-body potential is proportional to the number of charges. Our interest is in studying the large $N$ form of the corresponding partition function, with the plasma confined to the surface of the cylinder. The one-body potential is (up to tec...