Effect of noise in open chaotic billiards

Autor:	Altmann, Eduardo G., Leitão, Jorge C., Lopes, João Viana
Rok vydání:	2012
Předmět:	Nonlinear Sciences - Chaotic Dynamics Condensed Matter - Statistical Mechanics
Zdroj:	Chaos 22, 026114 (2012)
Druh dokumentu:	Working Paper
DOI:	10.1063/1.3697408
Popis:	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. Comment: To appear in "Chaos" special issue: "Statistical Mechanics and Billiard-Type Dynamical Systems"; 9 pages, 5 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1203.1791 Zobrazit plný text záznamu View this record from Arxiv