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 -London- a Mathematical and General, 41 (33). p. 332002. ISSN 0305-4470

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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 -London- a Mathematical and General
Uncontrolled Keywords: /dk/atira/pure/researchoutput/libraryofcongress/qc
Subjects:
Departments: Faculty of Science and Technology > Physics
ID Code: 19749
Deposited By: Dr Henning Schomerus
Deposited On: 06 Nov 2008 16:10
Refereed?: Yes
Published?: Published
Last Modified: 18 Sep 2019 00:25
URI: https://eprints.lancs.ac.uk/id/eprint/19749

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