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arXiv · 1305.2624

Oscillating mushrooms: adiabatic theory for a non-ergodic system

V. Gelfreich·V. Rom-Kedar·D. Turaev
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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 confirms the theory. We suggest that a similar mechanism applies to general systems with mixed phase space.

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V. Gelfreich, V. Rom-Kedar, D. Turaev. 2013-05-12. Oscillating mushrooms: adiabatic theory for a non-ergodic system. https://doi.org/10.1088/1751-8113/47/39/395101

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