Decay of Classical Chaotic Systems - the Case of the Bunimovich Stadium

Preprint

25 October 1995

preprint
Published by arXiv in arXiv

Abstract

The escape of an ensemble of particles from the Bunimovich stadium via a small hole has been studied numerically. The decay probability starts out exponentially but has an algebraic tail. The weight of the algebraic decay tends to zero for vanishing hole size. This behaviour is explained by the slow transport of the particles close to the marginally stable bouncing ball orbits. It is contrasted with the decay function of the corresponding quantum system.

Keywords

PROBABILITY STARTS
BUNIMOVICH STADIUM
CLASSICAL CHAOTIC
CHAOTIC SYSTEMS
ALGEBRAIC
PARTICLES
ENSEMBLE
STADIUM
DECAY

All Related Versions

Version 1, 1995-06-30, ArXiv
Version 2, 1995-10-25, ArXiv
Version 3, 1995-11-21, ArXiv
Published version: Physical Review E, 53 (3), 2217.

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