延迟反馈诱导的搓板势中的定向惯性粒子输运
Delayed feedback induced directed inertia particle transport in a washboard potential
摘要：
本文研究了在无偏时间周期外场作用下的搓衣板势中欠阻尼布朗粒子的运动。而在有限确定性系统中，依赖于外部场的强度和相位，可以存在定向净运动，对于有限温度，净运动平均为零。引人注目的是，与应用程序的一个额外的时间延迟反馈项定向粒子运动可以完成坚持到相当高的水平的热噪声。详细地，存在反馈项执行振荡的反馈强度和延迟时间的值，所述反馈强度和延迟时间的值被锁相到时间周期性外部场。这产生了有效的偏置摇摆力，促进了不同持续时间的向前和向后运动的周期，并因此促进了定向运动。在相空间动力学方面，我们表明，与应用反馈desymmetrization共存的吸引子发生离开的支持无论是积极或消极的速度作为唯一幸存的。此外，我们发现的参数范围，在热噪声的存在下，定向运输相比，无噪声的情况下，增强。
英文摘要：
We consider motion of an underdamped Brownian particle in a washboard potential that is subjected to an unbiased time-periodic external field. While in the limiting deterministic system in dependence of the strength and phase of the external field directed net motion can exist, for a finite temperature the net motion averages to zero. Strikingly, with the application of an additional time-delayed feedback term directed particle motion can be accomplished persisting up to fairly high levels of the thermal noise. In detail, there exist values of the feedback strength and delay time for which the feedback term performs oscillations that are phase locked to the time-periodic external field. This yields an effective biasing rocking force promoting periods of forward and backward motion of distinct duration, and thus directed motion. In terms of phase space dynamics we demonstrate that with applied feedback desymmetrization of coexisting attractors takes place leaving the ones supporting either positive or negative velocities as the only surviving ones. Moreover, we found parameter ranges for which in the presence of thermal noise the directed transport is enhanced compared to the noise-less case.
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