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Global versus Local Billiard Level Dynamics: The Limits of Universality

1999/01/31 by M. Barth, Michael Barth, Ulrich Kuhl +3
Computer Science · Physics and Astronomy · #Chaos control and synchronization #Nonlinear Dynamics and Pattern Formation #Quantum chaos and dynamical systems #cond-mat

paper · pdf · doi:10.1103/physrevlett.82.2026

published as Phys. Rev. Lett. 82, 2026 (1999)

arxiv created 1999/02/25 · openalex publication_date 1999/03/08 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Level dynamics measurements have been performed in a Sinai microwave billiard as a function of a single length, as well as in rectangular billiards with randomly distributed disks as a function of the position of one disk. In the first case the field distribution is changed globally, and velocity distributions and autocorrelation functions are well described by universal functions derived by Simons and Altshuler. In the second case the field distribution is changed locally. Here another type of universal correlation is observed. It can be derived under the assumption that chaotic wave functions may be described by a random superposition of plane waves.

Citations