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arXiv 1003.4639cond-mat.stat-mech
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Hamilton系统中连续有向流的出现

Emergence of continual directed flow in Hamiltonian systems

D. Hennig, A. D. Burbanks, C. Mulhern, A. H. Osbaldestin

摘要:

我们提出了一个极小模型的出现,一个有向流的自治哈密顿系统。它表明,内部打破时空对称性,通过本地化的初始条件,这是公正的运输自由度,和瞬态混沌合谋形成的物理机制发生的电流。最重要的是,在通过瞬态混沌后,轨迹只执行规则的传输运动,因此产生的电流是连续的弹道性质。这必须区别于以前报道的特点,运输驱动的哈密顿系统与混合相空间,其中运输是由间歇性的行为表现出定期弹道周期的持续时间的幂律衰减统计。

英文摘要:

We propose a minimal model for the emergence of a directed flow in autonomous Hamiltonian systems. It is shown that internal breaking of the spatio-temporal symmetries, via localised initial conditions, that 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 behaviour exhibiting power-law decay statistics of the duration of regular ballistic periods.

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