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Statistical correlations in a two-component Coulomb gas on a circle.

By Henning Schomerus

Abstract

A recent paper (Jokela et al 2008 Preprint arXiv:0806.1491) contains a surmise about an expectation value in a Coulomb gas which interacts with an additional charge ξ 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

Year: 2008
OAI identifier: oai:eprints.lancs.ac.uk:19749
Provided by: Lancaster E-Prints

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Citations

  1. (2005). Orthogonal Polynomials on the Unit Circle: Part 1: Classical Theory; Part 2: Spectral Theory
  2. (1991). Random Matrices, 2nd edition doi

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