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Updated: May 20, 2026

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
Published on: December 4, 2017
Effect of noise in open chaotic billiards
Eduardo G Altmann1, Jorge C Leitão, João Viana Lopes
1Max Planck Institute for the Physics of Complex Systems, 01187 Dresden, Germany. edugalt@pks.mpg.de
Abstract:
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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