Stadium Billiard with moving walls

D. COHEN AND D. A. WISNIACKI

PHYSICAL REVIEW E - STATISTICAL PHYSICS, PLASMAS, FLUIDS AND RELATED INTERDISCIPLINARY TOPICS

American Physical Society

Año: 2003 vol. 67 p. 262061 - 2620614

1063-651X

We study the evolution of the energy distribution for a stadium with moving walls. We consider a one period driving cycle, which is characterized by an amplitude A and a wall velocity V. This evolving energy distribu- tion has both ‘‘parametric’’ and ‘‘stochastic’’ components. The latter are important for the theory of quantum irreversibility and dissipation in driven mesoscopic devices. For an extremely slow wall velocity V, the spreading mechanism is dominated by transitions between neighboring levels, while for larger nonadiabatic velocities, the spreading mechanism has both perturbative and nonperturbative features. We present a numeri- cal study which is aimed at identifying the latter features. A procedure is developed for the determination of the various V regimes. The possible implications of linear response theory are discussed.