Scattering Dynamics of Driven Closed Billiards

Abstract

We investigate the classical scattering dynamics of the driven elliptical billiard. Two fundamental scattering mechanisms are identified and employed to understand the rich behavior of the escape rate. A long-time algebraic decay which can be tuned by varying the driving amplitude is established. Pulsed escape rates and decelerated escaping particles are generic properties of the harmonically breathing billiard. This suggests time-dependent billiards as prototype systems to study the nonequilibrium evolution of classical ensembles encountering a multitude of scattering processes off driven targets.

12 pages, 4 figures

References in corpus (5)

• Ray and wave chaos in asymmetric resonant optical cavities
• Hyperacceleration in a stochastic Fermi-Ulam model
• Open circular billiards and the Riemann hypothesis
• Decay of Classical Chaotic Systems - the Case of the Bunimovich Stadium
• Revivals of Coherence in Chaotic Atom-Optics Billiards

Cited by in corpus (8)

• Tunable Fermi acceleration in the driven elliptical billiard
• Evolutionary phase space in driven elliptical billiards
• Phase Space Interpretation of Exponential Fermi Acceleration
• Classical Dynamics of the Time-Dependent Elliptical Billiard
• Quantum response of weakly chaotic systems
• "Weak Quantum Chaos" and its resistor network modeling
• Computational study of the dynamics of an asymmetric wedge billiard
• Dynamics of a Rotated Orthogonal Gravitational Wedge Billiard