Gelfreich, Vassili, Rom-Kedar, Vered and Turaev, Dmitry (2014) Oscillating mushrooms : adiabatic theory for a non-ergodic system. Journal of Physics A : Mathematical and Theoretical, Volume 47 (Number 39). Article number 395101 . doi:10.1088/1751-8113/47/39/395101

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Abstract

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.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics
Divisions:	Faculty of Science, Engineering and Medicine > Science > Mathematics
Library of Congress Subject Headings (LCSH):	Dynamics of a particle
Journal or Publication Title:	Journal of Physics A : Mathematical and Theoretical
Publisher:	Institute of Physics Publishing Ltd.
ISSN:	1751-8113
Official Date:	16 May 2014
Dates:	Date Event 16 May 2014 Published 28 July 2014 Accepted 28 May 2014 Submitted
Volume:	Volume 47
Number:	Number 39
Article Number:	Article number 395101
DOI:	10.1088/1751-8113/47/39/395101
Status:	Peer Reviewed
Publication Status:	Published
Access rights to Published version:	Restricted or Subscription Access
Funder:	Engineering and Physical Sciences Research Council (EPSRC), Leverhulme Trust (LT), Royal Society (Great Britain), Israel Science Foundation (ISF)
Grant number:	321/12 (ISF)

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