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

A. P. Itin; A. I. Neishtadt

doi:10.1063/1.4705101

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arXiv · 1112.3472

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

A. P. Itin·A. I. Neishtadt

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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.

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A. P. Itin, A. I. Neishtadt. 2012-04-08. Fermi acceleration in time-dependent rectangular billiards due to multiple passages through resonances. https://doi.org/10.1063/1.4705101

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