闭合螺旋线上带电粒子的外场诱导动力学
External field-induced dynamics of a charged particle on a closed helix
摘要：
本文研究了带电粒子在外加随时间变化的电场作用下沿螺旋线运动的动力学行为。分析了线性和圆偏振场的基本相空间。对于小的驱动振幅和线性极化场，我们发现分裂的相空间的混沌部分，防止粒子反转其运动方向。这允许混沌轨迹的非零平均速度，而不破坏通常负责定向传输的众所周知的对称性。在我们所选择的归一化单位内，所得的平均输运速度是恒定的，并且不随驱动振幅而显著变化。在圆偏振场和低驱动振幅的情况下，发现了非常类似的效果。此外，当驱动与圆偏振场，我们解开的混沌相空间区域的分裂非常大的驱动振幅的第二种机制。存在一个广泛的参数值的轨迹可能会穿越一个可渗透的cantorus之间的两个混沌区域。这些现象的局限性，以及它们的影响操纵定向运输螺旋几何形状进行了讨论。
英文摘要：
We investigate the dynamics of a charged particle confined to move on a toroidal helix while being driven by an external time-dependent electric field. The underlying phase space is analyzed for linearly and circularly polarized fields. For small driving amplitudes and a linearly polarized field, we find a split-up of the chaotic part of the phase space which prevents the particle from inverting its direction of motion. This allows for a non-zero average velocity of chaotic trajectories without breaking the well-known symmetries commonly responsible for directed transport. Within our chosen normalized units, the resulting average transport velocity is constant and does not change significantly with the driving amplitude. A very similar effect is found in case of the circularly polarized field and low driving amplitudes. Furthermore, when driving with a circularly polarized field, we unravel a second mechanism of the split-up of the chaotic phase space region for very large driving amplitudes. There exists a wide range of parameter values for which trajectories may travel between the two chaotic regions by crossing a permeable cantorus. The limitations of these phenomena, as well as their implication on manipulating directed transport in helical geometries are discussed.
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