慢摇摆对称的空间周期哈密顿量：逃逸的作用和巨瞬态定向输运的出现
Slowly rocking symmetric, spatially periodic Hamiltonians: The role of escape and the emergence of giant transient directed transport
摘要：
研究了置于对称空间周期势场中的粒子在周期变化场作用下的不可积哈密顿动力学。这种系统可以表现出丰富多样的不寻常的运输功能。特别是，根据设置的初始阶段的驱动器，一个巨大的瞬态定向运输的可能性，在一个对称的，空间周期性的潜在的驱动时，随时间变化的字段出现。在这里，我们研究的逃逸方案和相应的平均逃逸时间的粒子从捕获区域与随后产生的瞬态定向流的粒子系综。结果表明，对于缓慢的倾斜调制的单向流动进行了巨大的距离。逃逸的方向以及流动的方向，完全取决于调节势的倾斜的周期性力开始时是正的还是负的。在相空间中，这种瞬态定向流与非均匀混沌层中包含的弹道通道内发生的持久运动相关联。我们证明，绝热调制所有逃逸粒子弹道移动到同一个方向，导致一个巨大的定向电流。
英文摘要：
The nonintegrable Hamiltonian dynamics of particles placed in a symmetric, spatially periodic potential and subjected to a periodically varying field is explored. Such systems can exhibit a rich diversity of unusual transport features. In particular, depending on the setting of the initial phase of the drive, the possibility of a giant transient directed transport in a symmetric, space-periodic potential when driven with an adiabatically varying field arises. Here, we study the escape scenario and corresponding mean escape times of particles from a trapping region with the subsequent generation of a transient directed flow of an ensemble of particles. It is shown that for adiabatically slow inclination modulations the unidirectional flow proceeds over giant distances. The direction of escape and, hence, of the flow is entirely governed whether the periodic force, modulating the inclination of the potential, starts out initially positive or negative. In the phase space, this transient directed flow is associated with a long-lasting motion taking place within ballistic channels contained in the non-uniform chaotic layer. We demonstrate that for adiabatic modulations all escaping particles move ballistically into the same direction, leading to a giant directed current.
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