Oscillating mushrooms: Adiabatic theory for a non-ergodic system

V. Gelfreich, V. Rom-Kedar, D. Turaev

Research output: Contribution to journalArticlepeer-review

15 Scopus citations


Can elliptic islands contribute to sustained energy growth as parameters of a Hamiltonian system slowly vary with time? In this paper we show that a mushroom billiard with a periodically oscillating boundary accelerates the particle inside it exponentially fast. We provide an estimate for the rate of acceleration. Our numerical experiments corroborate the theory. We suggest that a similar mechanism applies to general systems with mixed phase space.

Original languageEnglish
Article number395101
JournalJournal of Physics A: Mathematical and Theoretical
Issue number39
StatePublished - 3 Oct 2014
Externally publishedYes


  • Fermi acceleration
  • adiabatic theory
  • non-autonomous billiards
  • non-ergodic system

ASJC Scopus subject areas

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


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