Picture of wind turbine against blue sky

Open Access research with a real impact...

The Strathprints institutional repository is a digital archive of University of Strathclyde research outputs.

The Energy Systems Research Unit (ESRU) within Strathclyde's Department of Mechanical and Aerospace Engineering is producing Open Access research that can help society deploy and optimise renewable energy systems, such as wind turbine technology.

Explore wind turbine research in Strathprints

Explore all of Strathclyde's 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.