Feedback control in a coupled Brownian ratchet

doi:10.1088/1674-1056/21/2/020502

Abstract On the basis of the double-well ratchet potential which can be calculated theoretically and implemented experimentally, the influences of the time delay, the coupling constant, and the asymmetric parameter of the potential on the performance of a delayed feedback ratchet consisting of two Brownian particles coupled mutually with a linear elastic force are investigated. The centre-of-mass velocity of two coupled Brownian particles, the average effective diffusion coefficient, and the Pe number are calculated. It is found that the parameters are affected by not only the time delay and coupling constant but also the asymmetric parameter of the double-well ratchet potential. It is also found that the enhancement of the current may be obtained by varying the coupling constant of the system for the weak coupling case. It is expected that the results obtained here may be observed in some physical and biological systems.

Keywords: delayed feedback ratchet double-well ratchet potential coupling constant center-of-mass velocity

Received: 15 April 2011
Revised: 08 November 2011
Accepted manuscript online:

PACS:	05.40.-a	(Fluctuation phenomena, random processes, noise, and Brownian motion)
	05.40.Jc	(Brownian motion)
	02.30.Yy	(Control theory)

Fund: Project supported by the Foundation for the Doctoral Research Project of Shenyang Normal University, China (Grant No. 054- 55440107021) and the Science Foundation of the Educational Department of Liaoning Province, China (Grant No. 2009A646).

Corresponding Authors: Gao Tian-Fu,tianfugao@163.com;Chen Jin-Can,jcchen@xmu.edu.cn
E-mail: tianfugao@163.com;jcchen@xmu.edu.cn

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Gao Tian-Fu(高天附), Liu Feng-Shan(刘凤山), and Chen Jin-Can(陈金灿) Feedback control in a coupled Brownian ratchet 2012 Chin. Phys. B 21 020502

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Feedback control in a coupled Brownian ratchet

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