Directed transport of an inertial particle in a washboard potential induced by delayed feedback

被引:29
作者
Hennig, D. [1 ]
Schimansky-Geier, L. [1 ]
Haenggi, P. [2 ]
机构
[1] Humboldt Univ, Inst Phys, D-12489 Berlin, Germany
[2] Univ Augsburg, Inst Phys, D-86135 Berlin, Germany
来源
PHYSICAL REVIEW E | 2009年 / 79卷 / 04期
关键词
Brownian motion; delays; phase space methods; thermal noise; transport processes; DIFFUSION; NOISE; CHAOS;
D O I
10.1103/PhysRevE.79.041117
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
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 noiseless case.
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页数:6
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