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

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

1995-06-30

arxiv.org/abs/chao-dyn/9506012v3

Phys. Rev. E 53, 2217 (1996)

Nonlinear Sciences

Chaotic Dynamics

16 pages, RevTex, 3 figures are available upon request from rehfeld@linac.ikp.physik.th-darmstadt.de, to be published in Phys.

Scientific paper

10.1103/PhysRevE.53.2217

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.

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