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The directed transport performance of two coupled Brownian particles in the double-well ratchet potential under the external force has been studied in this paper. Langevin equation in the overdamped regime is solved numerically. The influence of the external force, the thermal noise, and the asymmetric parameter of the potential on the transport properties of the coupled Brownian particles including the average velocity, the effective diffusion coefficient Deff , and the Pe number, is discussed in detail. It is found that the average velocity changes periodically under the external force. Meanwhile, there is an optimal value of the intensity of the thermal noise at which the current reaches the maximum. It is worthwhile to point out that the enhancement of the current can be achieved by changing the structure of the ratchet potential.
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Keywords:
- coupled Brownian ratchet /
- external force /
- double-well ratchet potential /
- average velocity
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[28] Cao F J, Feito M, Touchette H 2009 Physica A 388 113
[29] de Souza Silva C C, van de Vondel J, Morelle M, Moshchalkov V V 2006 Nature 440 651
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[33] Wang H Y, Bao J D 2005 Physica A 357 373
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[1] Vale R D, Milligan R A 2000 Science 288 88
[2] Vale R D 2003 Cell 112 467
[3] Oster G, Wang H 2003 Trends Cell Biol. 13 114
[4] Reimann P 2002 Phys. Rep. 361 57
[5] Li F Z, Jiang L C 2010 Chin. Phys. B 19 020503
[6] Zeng C H, Wang H 2012 Chin. Phys. B 21 050502
[7] Linke H 2002 Appl. Phys. A: Mater. Sci. Process. 75 167
[8] van den Heuvel M G L, Dekker C 2007 Science 317 333
[9] Braun O M, Kivshar Y S 1998 Phys. Rep. 306 1
[10] Landa P S, McClintock P V E 2000 Phys. Rep. 323 1
[11] Dan D, Jayannavarar A M, Menon G I 2003 Physica A 318 40
[12] Yi S T, Song H, Ou Z E, Ai B Q, Xiong J W 2012 Commun. Theor. Phys. 57 223
[13] Csahk Z, Family F,Vicsek T 1997 Phys. Rev. E 55 5197
[14] Li Y X, Wu X Z, Zhuo Y Z 2000 Mod. Phys. Lett. B 14 479
[15] Feito M, Cao F J 2006 Phys. Rev. E 74 041109
[16] Feito M, Cao F J 2007 Eur. Phys. J. B 59 63
[17] Feito M, Cao F J 2007 Phys. Rev. E 76 061113
[18] Feito M, Cao F J 2008 Physica A 387 4553
[19] Gao T F, Chen J C 2009 J. Phys. A: Math. Theor. 42 065002
[20] Zhao A K, Zhang H W, Li Y X 2010 Chin. Phys. B 19 110506
[21] Rousselet J, Salome L, Ajdari A, Prost J 1994 Nature 370 446
[22] Evstigneev M, Gehlen S, Reimann P 2010 Phys. Rev. E 79 011116
[23] Gao T F, Liu F S, Chen J C 2012 Chin. Phys. B 21 020502
[24] Bier M 2007 Biosystems 88 301
[25] Zhang H W, Wen S T, Chen G R, Li Y X, Cao Z X, Li W 2012 Chin. Phys. B 21 038701
[26] Bustamante C, Chemla Y R, Forde N R, Izhaky D 2004 Annu. Rev. Biochem. 73 705
[27] Lv Y, Wang H Y, Bao J D 2010 Acta Phys. Sin. 59 4466 (in Chinese) [吕艳, 王海燕, 包景东 2010 59 4466]
[28] Cao F J, Feito M, Touchette H 2009 Physica A 388 113
[29] de Souza Silva C C, van de Vondel J, Morelle M, Moshchalkov V V 2006 Nature 440 651
[30] Costantini G, Marchesoni F 2001 Phys. Rev. Lett. 87 114102
[31] Zheng Z G, Cross M C, Hu G 2002 Phys. Rev. Lett. 89 154102
[32] Lindner B, Schimanasky-Geier L 2002 Phys. Rev. Lett. 89 230602
[33] Wang H Y, Bao J D 2005 Physica A 357 373
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