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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Official URL: https://doi.org/10.1088/1751-8113/41/33/332002
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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