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Spectral correlations: Understanding oscillatory contributions

Mehlig, B. and Wilkinson, M. (2001) Spectral correlations: Understanding oscillatory contributions. Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 63 (4). 045203-1. ISSN 1063-651X

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Abstract

We give a different derivation of a relation obtained using a supersymmetric nonlinear sigma model by Andreev and Altshuler [Phys. Rev. Lett. 72, 902 (1995)], which connects smooth and oscillatory components of spectral correlation functions. We show that their result is not specific to the random matrix theory. Also, we show that despite an apparent contradiction, the results obtained using their formula are consistent with earlier perspectives on random matrix models.

Item type: Article
ID code: 6440
Keywords: matrix theory, spectral correlation, matrix models, sigma model, oscillatory contribution, Optics. Light, Physics and Astronomy(all), Mathematical Physics, Statistical and Nonlinear Physics, Condensed Matter Physics
Subjects: Science > Physics > Optics. Light
Department: Unknown Department
Depositing user: Miss Darcy Spiller
Date Deposited: 01 Jul 2008
Last modified: 18 Jun 2015 08:45
Related URLs:
URI: http://strathprints.strath.ac.uk/id/eprint/6440

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