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Directed transport of coupled Brownian motors in a two-dimensional traveling-wave potential |
| Wei-Xia Wu(吴魏霞)1, Zhi-Gang Zheng(郑志刚)2, Yan-Li Song(宋艳丽)3, Ying-Rong Han(韩英荣)4, Zhi-Cheng Sun(孙志成)5, Chen-Pu Li(李晨璞)6 |
1 Science Education Department, Beijing Institute of Graphic Communication, Beijing 102600, China;
2 Institute of Systems Science and College of Information Science and Engineering, Huaqiao University, Xiamen 361021, China;
3 School of Science, Tianjin University, Tianjin 300072, China;
4 School of Science, Hebei University of Technology, Tianjin 300401, China;
5 School of Printing and Packaging Engineering, Beijing Institute of Graphic Communication, Beijing 102600, China;
6 College of Science, Hebei Institute of Architecture and Civil Engineering, Zhangjiakou 075000, China |
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Abstract Considering an elastically coupled Brownian motors system in a two-dimensional traveling-wave potential, we investigate the effects of the angular frequency of the traveling wave, wavelength, coupling strength, free length of the spring, and the noise intensity on the current of the system. It is found that the traveling wave is the essential condition of the directed transport. The current is dominated by the traveling wave and varies nonmonotonically with both the angular frequency and the wavelength. At an optimal angular frequency or wavelength, the current can be optimized. The coupling strength and the free length of the spring can locally modulate the current, especially at small angular frequencies. Moreover, the current decreases rapidly with the increase of the noise intensity, indicating the interference effect of noise on the directed transport.
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Received: 08 April 2020
Revised: 26 May 2020
Accepted manuscript online: 05 June 2020
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PACS:
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05.10.Gg
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(Stochastic analysis methods)
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05.60.Cd
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(Classical transport)
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05.40.-a
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(Fluctuation phenomena, random processes, noise, and Brownian motion)
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| Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11875135), Quanzhou Scientific and Technological Foundation, China (Grant No. 2018C085R), the Key Project of Beijing Institute of Graphic Communication, China (Grant No. Ea201702), and the International Ability Improvement Project of Teaching Staff of Beijing Institute of Graphic Communication, China (Grant No. 12000400001). |
Corresponding Authors:
Zhi-Gang Zheng, Chen-Pu Li
E-mail: zgzheng@hqu.edu.cn;lichenpu2005@126.com
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Cite this article:
Wei-Xia Wu(吴魏霞), Zhi-Gang Zheng(郑志刚), Yan-Li Song(宋艳丽), Ying-Rong Han(韩英荣), Zhi-Cheng Sun(孙志成), Chen-Pu Li(李晨璞) Directed transport of coupled Brownian motors in a two-dimensional traveling-wave potential 2020 Chin. Phys. B 29 090503
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