Statistical distribution of the Wigner-Smith time-delay matrix moments for chaotic cavities

2014/12/31 by Fabio Deelan Cunden · 1 citation
Mathematics · Physics and Astronomy · #cond-mat.mes-hall #cond-mat.stat-mech #math-ph #math.MP #nlin.CD

paper · pdf · doi:10.1103/physreve.91.060102

published as Phys. Rev. E 91, 060102(R) (2015) · 5 pages, 1 table, 2 figures

arxiv created 2015/06/16 · arxiv updated 2016/03/17

Abstract

We derive the joint distribution of the moments Tr Q^κ (κ≥0) of the Wigner-Smith matrix for a chaotic cavity supporting a large number of scattering channels n. This distribution turns out to be asymptotically Gaussian, and we compute explicitly averages and covariances. The results are in a compact form and have been verified numerically. The general methodology of proof and computations has a wide range of applications.

Cited by

• Random Matrix Theory for Chaotic Wave Scattering and Transport

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