Statistical correlations in a Coulomb gas with a test charge

Details Statistical correlations in a Coulomb gas with a test charge Statistical correlations in a Coulomb gas with a test charge

2008-06-16

arxiv.org/abs/0806.2602v3

J.Phys.A41:332002,2008

Physics

Condensed Matter

Statistical Mechanics

4 pages

Scientific paper

10.1088/1751-8113/41/33/332002

A recent paper [Jokela et al, arxiv:0806.1491 9 June 2008] contains a surmise about an expectation value in a Coulomb gas which interacts with an additional charge xi that sits at a fixed position. Here I demonstrate the validity of the surmised expression and extend it to a certain class of higher cumulants. The calculation is based on the analogy to statistical averages in the circular unitary ensemble of random-matrix theory and exploits properties of orthogonal polynomials on the unit circle.

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