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arXiv 0801.0641nlin.CD
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驱动椭圆台球中的可调费米加速

Tunable Fermi acceleration in the driven elliptical billiard

Florian Lenz, Fotis K. Diakonos, Peter Schmelcher

摘要:

我们探讨了非相互作用粒子系综在椭圆台球中自由传播的动力学演化。费米加速的存在,从而驳斥了既定的假设,顺利驱动台球的静态同行是可积不表现出加速动力学。的基本机制的基础上的间歇阶段的层流和随机行为的强相关的角动量和速度运动的确定和研究与不同的参数。速度空间中的扩散过程是反常的,我们发现,相应的特征指数单调依赖于呼吸幅度的台球边界。因此,可以以直接可控的方式调谐加速定律。

英文摘要:

We explore the dynamical evolution of an ensemble of non-interacting particles propagating freely in an elliptical billiard with harmonically driven boundaries. The existence of Fermi acceleration is shown thereby refuting the established assumption that smoothly driven billiards whose static counterparts are integrable do not exhibit acceleration dynamics. The underlying mechanism based on intermittent phases of laminar and stochastic behavior of the strongly correlated angular momentum and velocity motion is identified and studied with varying parameters. The diffusion process in velocity space is shown to be anomalous and we find that the corresponding characteristic exponent depends monotonically on the breathing amplitude of the billiard boundaries. Thus it is possible to tune the acceleration law in a straightforwardly controllable manner.

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