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Influences of the system symmetry and memory on the transport behavior of Brownian motor

Wang Fei Xie Tian-Ting Deng Cui Luo Mao-Kang

Influences of the system symmetry and memory on the transport behavior of Brownian motor

Wang Fei, Xie Tian-Ting, Deng Cui, Luo Mao-Kang
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  • Received Date:  21 March 2014
  • Accepted Date:  28 April 2014
  • Published Online:  05 August 2014

Influences of the system symmetry and memory on the transport behavior of Brownian motor

  • 1. College of Mathematics, Sichuan University, Chengdu 610065, China;
  • 2. Science and Technology on Electronic Information Control Laboratory, Chengdu 610036, China;
  • 3. Southwest Institute of Technical Physics, Chengdu 610041, China
Fund Project:  Project supported by the National Natural Science Foundation of China (Grant No. 11171238) and the Foundation of Science and Technology on Electronic Information Control Laboratory, China (Grant No. 2013035).

Abstract: Based on the research on transport phenomenon of fractional Brownian motor, a systematic parameter (i.e. symmetry parameter) which describes the asymmetry of the periodic potential field is introduced, and the influences of the symmetry parameter and the memory parameter (i.e. the fractional order) on the transport behavior are also investigated. The numerical results show that the combined effect of fractional order and symmetry parameter can result in the reverse flow of Brownian particle's transport, and the fractional order corresponding to the maximal averaged velocity is irrelevant to the frequency of the external periodic force, but it will still increase monotonically as the symmetry parameter increases.

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