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

Schomerus, Henning (2008) Statistical correlations in a two-component Coulomb gas on a circle. Journal of Physics A: Mathematical and Theoretical, 41 (33). p. 332002. ISSN 1751-8113

[img]
Preview
PDF (preprint2.pdf)
preprint2.pdf

Download (121kB)

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.

Item Type:
Journal Article
Journal or Publication Title:
Journal of Physics A: Mathematical and Theoretical
Uncontrolled Keywords:
/dk/atira/pure/researchoutput/libraryofcongress/qc
Subjects:
ID Code:
19749
Deposited By:
Deposited On:
06 Nov 2008 16:10
Refereed?:
Yes
Published?:
Published
Last Modified:
27 Nov 2020 01:00