Fermi acceleration in non-autonomous billiards

V. Gelfreich; D. Turaev

doi:10.1088/1751-8113/41/21/212003

Fermi acceleration in non-autonomous billiards

V. Gelfreich, D. Turaev

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

45 Scopus citations

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.

Original language	English
Article number	212003
Journal	Journal of Physics A: Mathematical and Theoretical
Volume	41
Issue number	21
DOIs	https://doi.org/10.1088/1751-8113/41/21/212003
State	Published - 30 May 2008

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Statistics and Probability
Modeling and Simulation
Mathematical Physics
Physics and Astronomy (all)

Access to Document

10.1088/1751-8113/41/21/212003

Cite this

@article{95715f05dc4948c6a20320f4849ba32f,

title = "Fermi acceleration in non-autonomous billiards",

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.",

author = "V. Gelfreich and D. Turaev",

year = "2008",

month = may,

day = "30",

doi = "10.1088/1751-8113/41/21/212003",

language = "English",

volume = "41",

journal = "Journal of Physics A: Mathematical and Theoretical",

issn = "1751-8113",

publisher = "IOP Publishing Ltd.",

number = "21",

}

TY - JOUR

T1 - Fermi acceleration in non-autonomous billiards

AU - Gelfreich, V.

AU - Turaev, D.

PY - 2008/5/30

Y1 - 2008/5/30

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=44449169950&partnerID=8YFLogxK

U2 - 10.1088/1751-8113/41/21/212003

DO - 10.1088/1751-8113/41/21/212003

M3 - Article

AN - SCOPUS:44449169950

SN - 1751-8113

VL - 41

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

IS - 21

M1 - 212003

ER -

Fermi acceleration in non-autonomous billiards

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this