Robust exponential acceleration in time-dependent billiards

Vassili Gelfreich, Vered Rom-Kedar, Kushal Shah, Dmitry Turaev

Research output: Contribution to journalArticlepeer-review

41 Scopus citations


A class of nonrelativistic particle accelerators in which the majority of particles gain energy at an exponential rate is constructed. The class includes ergodic billiards with a piston that moves adiabatically and is removed adiabatically in a periodic fashion. The phenomenon is robust: deformations that keep the chaotic character of the billiard retain the exponential energy growth. The growth rate is found analytically and is, thus, controllable. Numerical simulations corroborate the analytic predictions with good precision. The acceleration mechanism has a natural thermodynamical interpretation and is applied to a hot dilute gas of repelling particles.

Original languageEnglish
Article number074101
JournalPhysical Review Letters
Issue number7
StatePublished - 17 Feb 2011
Externally publishedYes

ASJC Scopus subject areas

  • Physics and Astronomy (all)


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