V Gelfreich and D Turaev 2008 J. Phys. A: Math. Theor. 41 212003 doi:10.1088/1751-8113/41/21/212003
Fermi acceleration in non-autonomous billiards
FREE ARTICLEV Gelfreich1 and D Turaev2,3
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Fermi acceleration can be modelled by a classical particle moving inside a time-dependent domain and elastically reflecting from its boundary. In this paper, we describe how the results from the dynamical system theory can be used to explain the existence of trajectories with unbounded energy. In particular, we show for slowly oscillating boundaries that the energy of the particle may increase exponentially fast in time.
- PACS
- MSC
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37D45 Strange attractors, chaotic dynamics
70K55 Transition to stochasticity (chaotic behavior) (See also 37D45)
37D50 Hyperbolic systems with singularities (billiards, etc.)
- Subjects
- Dates
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Issue 21 (30 May 2008)
Received 17 March 2008, in final form 21 April 2008
Published 7 May 2008
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Fermi acceleration in non-autonomous billiards
V Gelfreich and D Turaev 2008 J. Phys. A: Math. Theor. 41 212003
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