Two-dimensional one-component plasma in a quadrupolar field
摘要:
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 chargeu2013surface charge correlation function is performed; an expected universal form is shown to be realized by this correlation function.
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DOI:
10.1142/S0217751X96000432
被引量:
年份:
1996
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