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Fermi acceleration in non-autonomous billiards
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Gelfreich, Vassili and Turaev, Dmitry (2008) Fermi acceleration in non-autonomous billiards. Journal of Physics A-Mathematical and Theoretical, Vol.41 (No.21). doi:10.1088/1751-8113/41/21/212003 ISSN 1751-8113.
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Official URL: http://dx.doi.org/10.1088/1751-8113/41/21/212003
Abstract
Fermi acceleration can be modelled by a classical particle moving inside a time-dependent domain and elastically reflecting from its boundary. In this paper, we describe how the results from the dynamical system theory can be used to explain the existence of trajectories with unbounded energy. In particular, we show for slowly oscillating boundaries that the energy of the particle may increase exponentially fast in time.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics Q Science > QC Physics |
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Library of Congress Subject Headings (LCSH): | Particle acceleration -- Mathematical models, Particles (Nuclear physics), Dynamics of a particle, Hamiltonian systems | ||||
Journal or Publication Title: | Journal of Physics A-Mathematical and Theoretical | ||||
Publisher: | IOP Publishing | ||||
ISSN: | 1751-8113 | ||||
Official Date: | 30 May 2008 | ||||
Dates: |
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Volume: | Vol.41 | ||||
Number: | No.21 | ||||
Number of Pages: | 6 | ||||
DOI: | 10.1088/1751-8113/41/21/212003 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access | ||||
Grant number: | ISF 273/07, MNTI-RFBR 06-01-72023 |
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