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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
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 | ||||||||
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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: |
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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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