中国物理B ›› 2003, Vol. 12 ›› Issue (8): 846-850.doi: 10.1088/1009-1963/12/8/305

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Directed transport of coupled systems in symmetric periodic potentials

郑志刚1, 高建1, 刘凤芝2   

  1. (1)Department of Physics, Beijing Normal University, Beijing 100875, China; (2)Department of Physics, Xuzhou Normal University, Xuzhou 221009, China
  • 收稿日期:2003-04-17 修回日期:2002-12-22 出版日期:2003-08-16 发布日期:2005-03-16
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No 10175009), the Special Foundation for State Major Basic Research Program (Grant No G2000077304), Foundation for the Authors of National Excellent Doctoral Dissertation of Chin

Directed transport of coupled systems in symmetric periodic potentials

Zheng Zhi-Gang (郑志刚)a, Liu Feng-Zhi (刘凤芝)b, Gao Jian (高建)a   

  1. a Department of Physics, Beijing Normal University, Beijing 100875, China; b Department of Physics, Xuzhou Normal University, Xuzhou 221009, China
  • Received:2003-04-17 Revised:2002-12-22 Online:2003-08-16 Published:2005-03-16
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No 10175009), the Special Foundation for State Major Basic Research Program (Grant No G2000077304), Foundation for the Authors of National Excellent Doctoral Dissertation of Chin

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摘要： In this paper, we discuss the damped unidirectional motions of a coupled lattice in a periodic potential. Each particle in the lattice is subject to a time-periodic ac force. Our studies reveal that a directed transport process can be observed when the ac forces acting on the coupled lattice have a phase shift (mismatch). This directed motion is a collaboration of the coupling, the substrate potential, and the periodic force, which are all symmetric. The absence of any one of these three factors will not give rise to a directed current. We discuss the complex relations between the directed current and parameters in the system. Results in this paper can be accomplished in experiments. Moreover, our results can be generalized to the studies of directed transport processes in more complicated spatially extended systems.

Abstract: In this paper, we discuss the damped unidirectional motions of a coupled lattice in a periodic potential. Each particle in the lattice is subject to a time-periodic ac force. Our studies reveal that a directed transport process can be observed when the ac forces acting on the coupled lattice have a phase shift (mismatch). This directed motion is a collaboration of the coupling, the substrate potential, and the periodic force, which are all symmetric. The absence of any one of these three factors will not give rise to a directed current. We discuss the complex relations between the directed current and parameters in the system. Results in this paper can be accomplished in experiments. Moreover, our results can be generalized to the studies of directed transport processes in more complicated spatially extended systems.

Key words: Frenkel－Kontorova model, molecular motor, directed transport, broken symmetry

中图分类号:  (Synchronization; coupled oscillators)

  • 05.45.Xt
05.60.-k (Transport processes)