Fermi acceleration in time-dependent rectangular billiards due to multiple passages through resonances
Chaotic Dynamics
2012-06-26 v2 Statistical Mechanics
Abstract
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.
Cite
@article{arxiv.1112.3472,
title = {Fermi acceleration in time-dependent rectangular billiards due to multiple passages through resonances},
author = {A. P. Itin and A. I. Neishtadt},
journal= {arXiv preprint arXiv:1112.3472},
year = {2012}
}
Comments
20 pages. Presented on School-Conference "Mathematics and Physics of Billiard-Like Systems" (Ubatuba, 2011). Accepted to Chaos