Picture of a sphere with binary code

Making Strathclyde research discoverable to the world...

The Strathprints institutional repository is a digital archive of University of Strathclyde research outputs. It exposes Strathclyde's world leading Open Access research to many of the world's leading resource discovery tools, and from there onto the screens of researchers around the world.

Explore Strathclyde Open Access research content

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

[img]
Preview
PDF (strathprints006440.pdf)
strathprints006440.pdf

Download (168kB) | Preview

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.