Fermi acceleration in non-autonomous billiards

V. Gelfreich, D. Turaev

Research output: Contribution to journalArticlepeer-review

53 Scopus citations


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.

Original languageEnglish
Article number212003
JournalJournal of Physics A: Mathematical and Theoretical
Issue number21
StatePublished - 30 May 2008

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Modeling and Simulation
  • Mathematical Physics
  • General Physics and Astronomy


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