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Oscillating mushrooms : adiabatic theory for a non-ergodic system

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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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Official URL: http://dx.doi.org/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:
DateEvent
16 May 2014Published
28 July 2014Accepted
28 May 2014Submitted
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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