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Chin. Phys. B, 2020, Vol. 29(9): 090503    DOI: 10.1088/1674-1056/ab99b7
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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
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.
Keywords:  directed transport      Brownian motors      coupled system      two-dimensional traveling-wave potential  
Received:  08 April 2020      Revised:  26 May 2020      Accepted manuscript online:  05 June 2020
PACS:  05.10.Gg (Stochastic analysis methods)  
  05.60.Cd (Classical transport)  
  05.40.-a (Fluctuation phenomena, random processes, noise, and Brownian motion)  
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

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

[1] Hänggi P and Marchesoni F 2009 Rev. Mod. Phys. 81 387
[2] Remann P 2002 Phys. Rep. 361 57
[3] Peskin C S, Odell G M and Oster G F 1993 Biophys. J. 65 316
[4] Astumian R D 1997 Science 276 917
[5] Reimann P and Hänggi P 2002 Appli. Phys. A 75 169
[6] Hänggi P, Marchesoni F and Nori F 2005 Ann. Phys. (Leipzig) 14 51
[7] Anteneodo C 2007 Phys. Rev. E 76 021102
[8] von Gehlen S, Evstigneev M and Reimann P 2009 Phys. Rev. E 79 031114
[9] Khoury M, Lacasta A M, Sancho J M and Lindenberg K 2011 Phys. Rev. Lett. 106 090602
[10] Martens S, Schmid G, Schimansky-Geier L and Hänggi P 2011 Chaos 21 047518
[11] Hyeon C and Hwang W 2017 Phys. Rev. E 96 012156
[12] Siebert T, Dittrich F, Schmid F, Binder K, Speck T and Virnau P 2018 Phys. Rev. E 98 030601
[13] Reimann P 1997 Phys. Rep. 290 149
[14] Bao J D and Zhuo Y Z 1998 Phys. Lett. A 239 228
[15] Bartussek R, Hänggi P and Kissner J G 1994 Europhys. Lett. 28 459
[16] Magnasco M O 1993 Phys. Rev. Lett. 71 1477
[17] Doering C R, Horsthemke W and Riordan J 1994 Phys. Rev. Lett. 72 2984
[18] Usmani O, Lutz E and Büttiker M 2002 Phys. Rev. E 66 021111
[19] Astumian R D and Bier M 1994 Phys. Rev. Lett. 72 1766
[20] Sarmiento A 1999 Phys. Rev. E 59 4878
[21] Vershnin M, Carter B C, Razafsky D S, King S J and Gross S P 2007 Proc. Natl. Acad. Sci. USA 104 87
[22] Shtridelman Y, Cahyuti T, Townsend B, DeWitt D and Macosko J C 2008 Cell Biochem. Biophys. 52 19
[23] Ali M Y, Lu H, Bookwalter C S, Warshaw D M and Trybus K M 2008 PNAS 105 4691
[24] Jülicher F and Prost J 1995 Phys. Rev. Lett. 75 2618
[25] Csahók Z, Family F and Vicsek T 1997 Phys. Rev. E 55 5179
[26] Li C P, Chen H B, Fan H, Xie G Y and Zheng Z G 2018 Physica A 494 175
[27] Zheng Z G and Chen H B 2010 Europhys. Lett. 92 30004
[28] Wang H Y and Bao J D 2013 Physica A 392 4850
[29] Zhang H W, Wen S T, Chen G R, Li Y X, Cao Z X and Li W 2012 Chin. Phys. B 21 038701
[30] Wang H Y and Bao J D 2004 Physica A 337 13
[31] Wu W X and Zheng Z G 2013 Acta. Phys. Sin. 62 190511 (in Chinese)
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