Average Cycle Period in Asymmetrical Flashing Ratchet

The directed motion of a Brownian particle in a flashing potential with various transition probabilities and waiting times in one of two states is studied. An expression for the average cycle period is proposed and the steady current J of the particle is calculated via Langevin simulation. The results show that the optimal cycle period rm,which takes the maximum of J, is shifted to a small value when the transition probability λ from the potential on to the potential off decreases, the maximalcurrent appears in the case of the average waiting time in the potential on being longer than in the potential off, and the direction of current depends on the ratio of the average times waiting in two states.

作 者： WANG Hai-Yan HE Hou-Sheng BAO Jing-dong   作者單位： WANG Hai-Yan,HE Hou-Sheng(Department of Physics, Beijing Normal University, Beijing 100875, China)

BAO Jing-dong(Department of Physics, Beijing Normal University, Beijing 100875, China;The Key Laboratory of Beam Technique and Material Modification of Ministry of Education, Beijing Normal University, Beijing 100875, China) 

刊 名： 理論物理通訊（英文版）  ISTIC SCI 英文刊名： COMMUNICATIONS IN THEORETICAL PHYSICS  年，卷(期)： 2005 43(2)  分類號：   關鍵詞： Brownian motor   current   asymmetrical transition  

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