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Directed transport of coupled Brownian ratchets with time-delayed feedback |
| Gao Tian-Fu (高天附)a b, Zheng Zhi-Gang (郑志刚)c, Chen Jin-Can (陈金灿)b |
a College of Physical Science and Technology, Shenyang Normal University, Shenyang 110034, China;
b Department of Physics, Xiamen University, Xiamen 361005, China;
c Department of Physics and the Beijing-Hong Kong-Singapore Joint Centre for Nonlinear and Complex Studies,Beijing Normal University, Beijing 100875, China |
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Abstract A time-delayed feedback ratchet consisting of two Brownian particles interacting through the elastic spring is considered. The model describes the directed transport of coupled Brownian particles in an asymmetric two-well ratchet potential which can be calculated theoretically and implemented experimentally. We explore how the centre-of-mass velocity is affected by the time delay, natural length of the spring, amplitude strength, angular frequency, external force, and the structure of the potential. It is found that the enhancement of the current can be obtained by varying the coupling strength of the delayed feedback system. When the thermal fluctuation and the harmonic potential match appropriately, directed current evolves periodically with the natural length of the spring and can achieve a higher transport coherence. Moreover, the external force and the amplitude strength can enhance the directed transport of coupled Brownian particles under certain conditions. It is expected that the polymer of large biological molecules may demonstrate a variety of novel cooperative effects in real propelling devices.
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Received: 04 February 2013
Revised: 07 March 2013
Accepted manuscript online:
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PACS:
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05.40.-a
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(Fluctuation phenomena, random processes, noise, and Brownian motion)
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05.40.Jc
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(Brownian motion)
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02.30.Yy
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(Control theory)
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| Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11075016), the Fundamental Research Funds for the Central Universities, China (Grant No. 201001), the Research Fund for the Doctoral Program of Higher Education, China (Grant No. 20100003110007), and the Science Foundation of the Educational Department of Liaoning Province, China (Grant No. L2012386). |
Corresponding Authors:
Zheng Zhi-Gang, Chen Jin-Can
E-mail: zgzheng@bnu.edu.cn; jcchen@xmu.edu.cn
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Cite this article:
Gao Tian-Fu (高天附), Zheng Zhi-Gang (郑志刚), Chen Jin-Can (陈金灿) Directed transport of coupled Brownian ratchets with time-delayed feedback 2013 Chin. Phys. B 22 080502
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