Oscillating mushrooms: adiabatic theory for a non-ergodic system
Oscillating mushrooms: adiabatic theory for a non-ergodic system
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DOI：
10.1088/1751-8113/47/39/395101
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发表时间：
2014-10-03
影响因子：
2.1
通讯作者：
Turaev, D.
中科院分区：
文献类型：
--
作者：
Gelfreich, V.;Rom-Kedar, V.;Turaev, D.
椭圆形岛是否有助于持续的能量增长，因为哈密顿系统的参数随时间缓慢变化？在本文中，我们表明，蘑菇台球与周期性振荡的边界内的粒子加速指数快速。我们提供了一个加速度的估计。我们的数值实验证实了这一理论。我们认为，类似的机制适用于一般系统的混合相空间。
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.