Effect of noise in open chaotic billiards

Details Effect of noise in open chaotic billiards Effect of noise in open chaotic billiards

2012-03-08

arxiv.org/abs/1203.1791v1

Nonlinear Sciences

Chaotic Dynamics

To appear in "Chaos" special issue: "Statistical Mechanics and Billiard-Type Dynamical Systems"; 9 pages, 5 figures

Scientific paper

We investigate the effect of white-noise perturbations on chaotic trajectories in open billiards. We focus on the temporal decay of the survival probability for generic mixed-phase-space billiards. The survival probability has a total of five different decay regimes that prevail for different intermediate times. We combine new calculations and recent results on noise perturbed Hamiltonian systems to characterize the origin of these regimes, and to compute how the parameters scale with noise intensity and billiard openness. Numerical simulations in the annular billiard support and illustrate our results.

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