Journal article

Two-dimensional one-component plasma in a quadrupolar field

PJ Forrester, B Jancovici

INTERNATIONAL JOURNAL OF MODERN PHYSICS A | WORLD SCIENTIFIC PUBL CO PTE LTD | Published : 1996

Abstract

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 Lesage1 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 c..

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University of Melbourne Researchers