Scattering dynamics of driven closed billiardsF. Lenz1, F. K. Diakonos2 and P. Schmelcher1, 3
1 Physikalisches Institut, Universität Heidelberg - Philosophenweg 12, 69120 Heidelberg, Germany
2 Department of Physics, University of Athens - GR-15771 Athens, Greece
3 Theoretische Chemie, Institut für Physikalische Chemie, Universität Heidelberg - INF 229, 69120 Heidelberg, Germany
received 23 March 2007; accepted in final form 1 June 2007; published July 2007
published online 2 July 2007
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.
05.45.-a - Nonlinear dynamics and chaos.
05.45.Ac - Low-dimensional chaos.
05.45.Pq - Numerical simulations of chaotic systems.
© Europhysics Letters Association 2007