外力作用下反馈耦合布朗棘轮的定向输运

王莉芳; 高天附; 黄仁忠; 郑玉祥

doi:10.7498/aps.62.070502

摘要

本文研究了处于外力作用下双阱棘轮势中两个反馈耦合布朗粒子的定向输运性能. 通过对过阻尼朗之万方程的数值求解, 详细讨论了外力、热噪声与势阱的不对称参数等对耦合布朗粒子的平均速度、有效扩散系数及Pe数的影响. 研究发现, 平均速度随外力呈周期性的变化规律. 同时耦合系统存在最优噪声强度会使定向输运达到最强. 值得指出的是棘轮系统可通过改变双阱势的结构来获得较强的定向流.

关键词:

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.

Keywords:

作者及机构信息

1.
沈阳师范大学物理科学与技术学院, 沈阳 110034;

2.
复旦大学光科学与工程系, 上海 200433

基金项目: 辽宁省教育厅科学研究一般项目 (批准号: L2012386) 和复旦大学重点实验室高级访问学者计划 (批准号: 11FG065) 资助的课题.

Authors and contacts

1.
College of Physical Science and Technology, Shenyang Normal University, Shenyang 110034, China;

2.
Department of Optical Science and Engineering, Fudan University, Shanghai 200433, China

Funds: Project supported by the Scientific Project of the Educational Department of Liaoning Province, China (Grant No. L2012386) and Fudan University Key Lab Senior Visiting Scholar Project, China (Grant No. 11FG065).

参考文献

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施引文献

[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 物理学报 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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