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

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Statistical correlations in a two-component Coulomb gas on a circle. / Schomerus, Henning.
In: Journal of Physics A: Mathematical and Theoretical, Vol. 41, No. 33, 22.08.2008, p. 332002.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Schomerus, H 2008, 'Statistical correlations in a two-component Coulomb gas on a circle.', Journal of Physics A: Mathematical and Theoretical, vol. 41, no. 33, pp. 332002. https://doi.org/10.1088/1751-8113/41/33/332002

APA

Schomerus, H. (2008). Statistical correlations in a two-component Coulomb gas on a circle. Journal of Physics A: Mathematical and Theoretical, 41(33), 332002. https://doi.org/10.1088/1751-8113/41/33/332002

Vancouver

Schomerus H. Statistical correlations in a two-component Coulomb gas on a circle. Journal of Physics A: Mathematical and Theoretical. 2008 Aug 22;41(33):332002. doi: 10.1088/1751-8113/41/33/332002

Author

Schomerus, Henning. / Statistical correlations in a two-component Coulomb gas on a circle. In: Journal of Physics A: Mathematical and Theoretical. 2008 ; Vol. 41, No. 33. pp. 332002.

Bibtex

@article{ccc9db3317034bb384f295f1a8492f17,
title = "Statistical correlations in a two-component Coulomb gas on a circle.",
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.",
author = "Henning Schomerus",
year = "2008",
month = aug,
day = "22",
doi = "10.1088/1751-8113/41/33/332002",
language = "English",
volume = "41",
pages = "332002",
journal = "Journal of Physics A: Mathematical and Theoretical",
issn = "1751-8113",
publisher = "IOP Publishing Ltd.",
number = "33",

}

RIS

TY - JOUR

T1 - Statistical correlations in a two-component Coulomb gas on a circle.

AU - Schomerus, Henning

PY - 2008/8/22

Y1 - 2008/8/22

N2 - 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.

AB - 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.

U2 - 10.1088/1751-8113/41/33/332002

DO - 10.1088/1751-8113/41/33/332002

M3 - Journal article

VL - 41

SP - 332002

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

SN - 1751-8113

IS - 33

ER -