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The classical two-dimensional one-component plasma is an exactly solvablemodel, at some special temperature, even when the one-body potential acting onthe particles has a quadrupolar term. As a supplement to a recent work of DiFrancesco, Gaudin, Itzykson, and Lesage [{\it Int. J. Mod. Phys.} {\bf A9},4257 (1994)] about an $N$-particle system ($N$ large but finite), a macroscopicargument is given for confirming that the particles form an elliptical blob,the analogy between the classical plasma and a quantum $N$-fermion system in amagnetic field is used for the microscopic approach, and a microscopiccalculation of the surface charge-surface charge correlation function isperformed; an expected universal form is shown to be realized by thiscorrelation function.Comment: 11 pages,TE

TWO-DIMENSIONAL ONE-COMPONENT PLASMA IN A QUADRUPOLAR FIELD