Emergence of continual directed flow in hamiltonian systems.
Emergence of continual directed flow in hamiltonian systems.
复制标题
哈密顿系统中连续定向流的出现。
DOI：
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发表时间：
2010
期刊：
影响因子：
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通讯作者：
A. Osbaldestin
中科院分区：
文献类型：
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作者：
D. Hennig;A. Burbanks;C. Mulhern;A. Osbaldestin
我们提出了一个在自治哈密尔顿系统中出现定向流的最小模型。结果表明，时空对称性的内部破缺，通过局部初始条件（相对于传输自由度而言是无偏的）和瞬态混沌共同形成了电流发生的物理机制。最重要的是，在穿过短暂的混沌之后，轨迹仅执行规则的传输运动，因此产生的电流具有连续的弹道性质。这必须与之前报道的具有混合相空间的驱动哈密顿系统的输运特征区分开来，其中输运是由间歇行为决定的，表现出规则弹道周期持续时间的幂律衰减统计。
We propose a minimal model for the emergence of a directed flow in autonomous hamiltonian systems. It is shown that internal breaking of the spatiotemporal symmetries, via localized initial conditions, which are unbiased with respect to the transporting degree of freedom, and transient chaos conspire to form the physical mechanism for the occurrence of a current. Most importantly, after passage through the transient chaos, trajectories perform solely regular transporting motion so that the resulting current is of continual ballistic nature. This has to be distinguished from the features of transport reported previously for driven hamiltonian systems with mixed phase space where transport is determined by intermittent behavior exhibiting power-law decay statistics of the duration of regular ballistic periods.