1112.3472 (A. P. Itin et al.)

Fermi acceleration in time-dependent rectangular billiards due to
multiple passages through resonances    [PDF]

A. P. Itin, A. I. Neishtadt

We consider a slowly rotating rectangular billiard with moving boundaries and use the canonical perturbation theory to describe the dynamics of a billiard particle. In the process of slow evolution certain resonance conditions can be satisfied. Correspondingly, phenomena of scattering on a resonance and capture into a resonance happen in the system. These phenomena lead to destruction of adiabatic invariance and to unlimited acceleration of the particle.

View original: http://arxiv.org/abs/1112.3472