Weak ergodicity breaking and aging of chaotic transport in Hamiltonian systems.
Weak ergodicity breaking and aging of chaotic transport in Hamiltonian systems.
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DOI：
10.1103/physrevlett.113.184101
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发表时间：
2014-10
影响因子：
8.6
通讯作者：
Tony Albers;G. Radons
中科院分区：
文献类型：
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作者：
Tony Albers;G. Radons
动量扩散是一般哈密顿系统中普遍存在的现象。我们表明，对于原型标准图，这意味着超扩散输运在坐标方向上的弱遍历性破缺，分别伴随着平均相关的均方位移（MSD）的二次和三次增加。这是通过积分布朗运动来解释的，为此我们导出了累积平均MSD的老化时间依赖表达式，时间平均MSD的分布，以及遍历性断裂参数。指出了对其他具有动量扩散的系统的推广。
Momentum diffusion is a widespread phenomenon in generic Hamiltonian systems. We show for the prototypical standard map that this implies weak ergodicity breaking for the superdiffusive transport in coordinate direction with an averaging-dependent quadratic and cubic increase of the mean-squared displacement (MSD), respectively. This is explained via integrated Brownian motion, for which we derive aging time dependent expressions for the ensemble-averaged MSD, the distribution of time-averaged MSDs, and the ergodicity breaking parameter. Generalizations to other systems showing momentum diffusion are pointed out.