驱动椭圆台球运动的演化相空间
Evolutionary phase space in driven elliptical billiards
摘要:
我们进行了第一次长期的探索与四维相空间的驱动台球的经典动力学。随着速度的增加,我们观察到的合奏从一个大的混沌海粘性由于定期岛屿薄混沌通道扩散运动导致费米加速的演变。作为一个令人惊讶的结果,我们遇到了一个交叉,这不是参数诱导的,而是动态发生的,从振幅相关的可调子扩散到动量空间中的普遍正常扩散。在高速的情况下,我们观察到粒子在相空间聚焦。
英文摘要:
We perform the first long-time exploration of the classical dynamics of a driven billiard with a four dimensional phase space. With increasing velocity of the ensemble we observe an evolution from a large chaotic sea with stickiness due to regular islands to thin chaotic channels with diffusive motion leading to Fermi acceleration. As a surprising consequence, we encounter a crossover, which is not parameter induced but rather occurs dynamically, from amplitude dependent tunable subdiffusion to universal normal diffusion in momentum space. In the high velocity case we observe particle focusing in phase space.
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