title: Energy growth rate in smoothly oscillating billiards.
abstract: Particle motion in a smoothly oscillating nonintegrable billiard is known to result in unbounded energy growth. The asymptotic energy growth rate of an ensemble of particles in a smoothly oscillating chaotic billiard is known to be quadratic in time. In this paper, it is shown that although this holds for the case of small oscillations, large oscillations in chaotic billiards can lead to faster than quadratic-in-time energy growth. It is also shown that the energy growth rate in oscillating pseudo-integrable billiards could be exponential in time. This is important for applications since slower than exponential-in-time energy growth can be annihilated by dissipation.
authors: School of Computational and Integrative Sciences, Jawaharlal Nehru University, New Delhi 110067, India. shah.kushal@yahoo.com
authors: Kushal
authors: K
authors: Shah