Oscillating mushrooms: Adiabatic theory for a non-ergodic system

V. Gelfreich; V. Rom-Kedar; D. Turaev

doi:https://doi.org/10.1088/1751-8113/47/39/395101

Oscillating mushrooms: Adiabatic theory for a non-ergodic system

V. Gelfreich, V. Rom-Kedar, D. Turaev

Department of Computer Science and Applied Mathematics

Weizmann Institute of Science

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

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.

Original language	American English
Article number	395101
Journal	Journal of Physics A: Mathematical and Theoretical
Volume	47
Issue number	39
DOIs	https://doi.org/10.1088/1751-8113/47/39/395101
State	Published - 3 Oct 2014

Keywords

Fermi acceleration
adiabatic theory
non-autonomous billiards
non-ergodic system

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
General Physics and Astronomy
Statistics and Probability
Mathematical Physics
Modelling and Simulation

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https://doi.org/10.1088/1751-8113/47/39/395101

Cite this

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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.",

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Oscillating mushrooms: Adiabatic theory for a non-ergodic system

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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