PMID: 22587167May 17, 2012Paper

Consequences of flooding on spectral statistics

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Torsten RudolfA Bäcker

Abstract

We study spectral statistics in systems with a mixed phase space, in which regions of regular and chaotic motion coexist. Increasing their density of states, we observe a transition of the level-spacing distribution P(s) from Berry-Robnik to Wigner statistics, although the underlying classical phase-space structure and the effective Planck constant h(eff) remain unchanged. This transition is induced by flooding, i.e., the disappearance of regular states due to increasing regular-to-chaotic couplings. We account for this effect by a flooding-improved Berry-Robnik distribution, in which an effectively reduced size of the regular island enters. To additionally describe power-law level repulsion at small spacings, we extend this prediction by explicitly considering the tunneling couplings between regular and chaotic states. This results in a flooding- and tunneling-improved Berry-Robnik distribution which is in excellent agreement with numerical data.

References

Jul 1, 1986·Physical Review A: General Physics·S J Chang, K J Shi
Oct 1, 1993·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·D M Leitner
Jul 1, 1994·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·S Tomsovic, D Ullmo
Mar 26, 1990·Physical Review Letters·O BohigasD Ullmo
Jan 23, 1995·Physical Review Letters·B V Chirikov, D Shepelyansky
Jan 30, 1995·Physical Review Letters·A Shudo, K S Ikeda
Jul 14, 2001·Nature·W K HensingerB Upcroft
Aug 11, 2001·Physical Review Letters·O BrodierD Ullmo
Aug 11, 2001·Physical Review Letters·H SchanzT Dittrich
Oct 9, 2002·Physical Review Letters·Lars HufnagelHolger Schanz
Mar 24, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Holger SchanzRoland Ketzmerick
Mar 24, 2005·Physical Review Letters·Arnd BäckerAlejandro G Monastra
Mar 16, 2007·Physical Review Letters·Stefan HeuslerFritz Haake
Aug 7, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Arnd BäckerAlejandro G Monastra
Mar 21, 2008·Physical Review Letters·A BäckerL Schilling
Apr 7, 2010·Physical Review Letters·Steffen LöckPeter Schlagheck
Sep 28, 2010·Physical Review Letters·Akiyuki IshikawaAkira Shudo
Jan 15, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Arnd BäckerSteffen Löck
Mar 17, 2011·Physical Review Letters·Arnd BäckerNormann Mertig

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Citations

Apr 16, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Lars BittrichRoland Ketzmerick
Mar 18, 2016·Physical Review. E·C MichelV Doya

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