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Feedback control in a coupled Brownian ratchet
Authors:Gao Tian-Fu  Liu Feng-Shan and Chen Jin-Can
Institution:College of Physical Science and Technology, Shenyang Normal University, Shenyang 110034, China;Department of Physics, Xiamen University, Xiamen 361005, China;College of Physical Science and Technology, Shenyang Normal University, Shenyang 110034, China;Department of Physics, Xiamen University, Xiamen 361005, China
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
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