Two-Dimensional One-Component Plasma in a Quadrupolar Field

The classical two-dimensional one-component plasma is an exactly solvable model at some special temperature even when the one-body potential acting on the particles has a quadrupolar term. As a supplement to a recent work of Di Francesco, Gaudin, Itzykson and Lesage 1 about an N-particle system (N large but finite), a macroscopic argument is given for confirming that the particles form an elliptical blob, the analogy between the classical plasma and a quantum N-fermion system in a magnetic field is used for the microscopic approach, and a microscopic calculation of the surface charge–surface charge correlation function is performed; an expected universal form is shown to be realized by this correlation function.