Spectral correlations : understanding oscillatory contributions

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Mehlig, B. and Wilkinson, M. (2001) Spectral correlations : understanding oscillatory contributions. Physical Review E: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 63 (4). ISSN 2470-0053 (https://doi.org/10.1103/PhysRevE.63.045203)

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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
    Dates:
    Date
    Event
    28 March 2001
    Published
    Subjects:Science > Physics > Optics. Light
    Department:Faculty of Science > Physics
    Depositing user: Miss Darcy Spiller
    Date deposited:01 Jul 2008
    Last modified:12 Dec 2024 02:08
    URI:https://strathprints.strath.ac.uk/id/eprint/6440
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