Feedback control in a coupled Brownian ratchet

doi:10.1088/1674-1056/21/2/020502

中国物理B ›› 2012, Vol. 21 ›› Issue (2): 20502-020502.doi: 10.1088/1674-1056/21/2/020502

高天附¹ ²,刘凤山¹,陈金灿²

收稿日期:2011-04-15 修回日期:2011-11-08 出版日期:2012-01-30 发布日期:2012-01-30
通讯作者: 高天附,tianfugao@163.com;陈金灿,jcchen@xmu.edu.cn E-mail:tianfugao@163.com;jcchen@xmu.edu.cn

Feedback control in a coupled Brownian ratchet

Gao Tian-Fu(高天附)^a)b)^†, Liu Feng-Shan(刘凤山)^a), and Chen Jin-Can(陈金灿)^b)^‡

a. College of Physical Science and Technology, Shenyang Normal University, Shenyang 110034, China;
b. Department of Physics, Xiamen University, Xiamen 361005, China

Received:2011-04-15 Revised:2011-11-08 Online:2012-01-30 Published:2012-01-30
Contact: Gao Tian-Fu,tianfugao@163.com;Chen Jin-Can,jcchen@xmu.edu.cn E-mail:tianfugao@163.com;jcchen@xmu.edu.cn
Supported by:
Project supported by the Foundation for the Doctoral Research Project of Shenyang Normal University, China (Grant No. 054- 55440107021) and the Science Foundation of the Educational Department of Liaoning Province, China (Grant No. 2009A646).

摘要/Abstract

Abstract: On the basis of the double-well ratchet potential which can be calculated theoretically and implemented experimentally, the influences of the time delay, the coupling constant, and the asymmetric parameter of the potential on the performance of a delayed feedback ratchet consisting of two Brownian particles coupled mutually with a linear elastic force are investigated. The centre-of-mass velocity of two coupled Brownian particles, the average effective diffusion coefficient, and the Pe number are calculated. It is found that the parameters are affected by not only the time delay and coupling constant but also the asymmetric parameter of the double-well ratchet potential. It is also found that the enhancement of the current may be obtained by varying the coupling constant of the system for the weak coupling case. It is expected that the results obtained here may be observed in some physical and biological systems.

Key words: delayed feedback ratchet, double-well ratchet potential, coupling constant, center-of-mass velocity

中图分类号: (Fluctuation phenomena, random processes, noise, and Brownian motion)

05.40.-a

05.40.Jc (Brownian motion) 02.30.Yy (Control theory)

高天附, 刘凤山, 陈金灿. [J]. 中国物理B, 2012, 21(2): 20502-020502.

Gao Tian-Fu(高天附), Liu Feng-Shan(刘凤山), and Chen Jin-Can(陈金灿) . Feedback control in a coupled Brownian ratchet[J]. Chin. Phys. B, 2012, 21(2): 20502-020502.

参考文献 48

[1]	Howard J 2001 Mechanics of Motor Proteins and the Cytoskeleton (Mass Sunderland: Sinauer)
[2]	Astumian R D and Hänggi P 2002 Phys. Today 55 33
[3]	Reimann P 2002 Phys. Rep. 361 57
[4]	Hänggi P, Marchesoni F and Nori F 2005 Ann. Phys. (Berlin) 14 51
[5]	Linke H 2002 Appl. Phys. A: Mater. Sci. Process. 75 167
[6]	Tessier F and Slater G W 2002 Appl. Phys. A: Mater. Sci. Process. 75 285
[7]	Derenyi I 2002 Appl. Phys. A: Mater. Sci. Process. bf 75 217
[8]	Feringa B L, Koumura N, van Delden R A and ter Wiel M K J 2002 Appl. Phys. A: Mater. Sci. Process. 75 301
[9]	Mogilner A and Oster G 1998 Eur. J. Biophys. 28 235
[10]	Siwy Z and Fulinski A 2004 Am. J. Phys. 72 567
[11]	Cao F J, Dinis L and Parrondo J M R 2004 Phys. Rev. Lett. 93 040603
[12]	Rousselet J, Salome L, Ajdari A and Prost J 1994 Nature (London) 370 446
[13]	Kitano H 2001 Foundations of Systems Biology (Cambridge: MIT Press)
[14]	Serwer P and Struct J 2003 Biol. 141 179
[15]	Kostur M, Hanggi P, Talkner P and Mateos J L 2005 Phys. Rev. E 72 036210
[16]	Wu D and Zhu S 2006 Phys. Rev. E 73 051107
[17]	Zheng Z G, Hu G and Hu B 2001 Phys. Rev. Lett. 86 2273
[18]	Wolfrum M and Yanchuk S 2006 Phys. Rev. Lett. 96 220201
[19]	Leng Y G 2011 Acta Phys. Sin. 60 020503 (in Chinese)
[20]	Mackey M C and Glass L 1977 Science 197 287
[21]	Tyson J J and Othmer H G 1978 Prog. Theor. Biol. 5 1
[22]	Frank T D 2005 Phys. Rev. E 71 031106
[23]	Guillouzic S, L'Heureux I and Longtin A 2000 Phys. Rev. E 61 4906
[24]	Gu X, Zhu S and Wu D 2007 Eur. Phys. J. D 42 461
[25]	Liu C L and Liu F 2011 Acta Phys. Sin. 60 030202 (in Chinese)
[26]	Ling L, Yan Y and Mei D C 2010 Acta Phys. Sin. 59 2240 (in Chinese)
[27]	Vale R D and Milligan R A 2000 Science 288 88
[28]	Klumpp S, Mielke A and Wald C 2001 Phys. Rev. E 63 031914
[29]	Bier M 2003 Phys. Rev. Lett. 91 148104
[30]	Kanada R and Sasaki K 2003 Phys. Rev. E 67 061917
[31]	Dan D, Jayannavar A M and Menon G I 2003 Physica A bf 318 40
[32]	Wang H Y and Bao J D 2004 Physica A 337 13
[33]	de Souza Silva C C, van de Vondel J, Morelle M and Moshchalkov V V 2006 Nature (London) 440 651
[34]	Costantini G and Marchesoni F 2001 Phys. Rev. Lett. bf 87 114102
[35]	Feito M and Cao F J 2007 Eur. Phys. J. B 59 63
[36]	Feito M and Cao F J 2006 Phys. Rev. E 74 041109
[37]	Feito M and Cao F J 2007 Phys. Rev. E 76 061113
[38]	Feito M and Cao F J 2008 Physica A 387 4553
[39]	Liepelt S and Lipowsky R 2007 Phys. Rev. Lett. 98 258102
[40]	Craig E M, Kuwada N J, Lopez B J and Linke H 2008 Ann. Phys. 17 115
[41]	Zheng Z G, Cross M C and Hu G 2002 Phys. Rev. Lett. bf 89 154102
[42]	Freund J A and Schimanasky-Geier L 1999 Phys. Rev. E bf 60 1304
[43]	Lindner B and Schimanasky-Geier L 2002 Phys. Rev. Lett. 89 230602
[44]	Zheng Z G, Liu F Z and Gao J 2003 Chin. Phys. 12 846
[45]	Chen H B, Wang Q W and Zheng Z G 2005 Phys. Rev. E bf 71 031102
[46]	Zhao A K, Zhang H W and Li Y X 2010 Chin. Phys. B bf 19 110506
[47]	Zheng Z G and Chen H B 2010 Europhys. Lett. 92 30004
[48]	Chen H B and Zheng Z G 2011 Mod. Phys. Lett. B 25 1179

Feedback control in a coupled Brownian ratchet

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

参考文献 48

相关文章 15

Metrics

本文评价

推荐阅读 0

[1]	Yong-Tao Yu(于永涛) and Xiao-Li Yang(杨晓丽). Inverse stochastic resonance in modular neural network with synaptic plasticity[J]. 中国物理B, 2023, 32(3): 30201-030201.
[2]	Kheder Suleiman, Xuelan Zhang(张雪岚), Erhui Wang(王二辉),Shengna Liu(刘圣娜), and Liancun Zheng(郑连存). Anomalous diffusion in branched elliptical structure[J]. 中国物理B, 2023, 32(1): 10202-010202.
[3]	Zhi-Kun Li(李智坤) and Dong-Xi Li(李东喜). Inhibitory effect induced by fractional Gaussian noise in neuronal system[J]. 中国物理B, 2023, 32(1): 10203-010203.
[4]	Ya-Hui Sun(孙亚辉), Yuan-Hui Zeng(曾远辉), and Yong-Ge Yang(杨勇歌). Sparse identification method of extracting hybrid energy harvesting system from observed data[J]. 中国物理B, 2022, 31(12): 120203-120203.
[5]	Kheder Suleiman, Xue-Lan Zhang(张雪岚), Sheng-Na Liu(刘圣娜), and Lian-Cun Zheng(郑连存). Diffusion dynamics in branched spherical structure[J]. 中国物理B, 2022, 31(11): 110202-110202.
[6]	Gang Zhang(张刚), Yu-Jie Zeng(曾玉洁), and Zhong-Jun Jiang(蒋忠均). Characteristics of piecewise linear symmetric tri-stable stochastic resonance system and its application under different noises[J]. 中国物理B, 2022, 31(8): 80502-080502.
[7]	Li-Fang He(贺利芳), Qiu-Ling Liu(刘秋玲), and Tian-Qi Zhang(张天骐). Research and application of stochastic resonance in quad-stable potential system[J]. 中国物理B, 2022, 31(7): 70503-070503.
[8]	Yong Huang(黄勇) and Yang Li(李扬). Data-driven modeling of a four-dimensional stochastic projectile system[J]. 中国物理B, 2022, 31(7): 70501-070501.
[9]	Yuhuai Zhang(张宇槐) and Jianjun Zhu(朱建军). Ergodic stationary distribution of a stochastic rumor propagation model with general incidence function[J]. 中国物理B, 2022, 31(6): 60202-060202.
[10]	Wei-Jing Zhu(朱薇静) and Bao-Quan Ai(艾保全). Ratchet transport of self-propelled chimeras in an asymmetric periodic structure[J]. 中国物理B, 2022, 31(4): 40503-040503.
[11]	Qing Yu(虞晴) and Xianbin Liu(刘先斌). A new simplified ordered upwind method for calculating quasi-potential[J]. 中国物理B, 2022, 31(1): 10502-010502.
[12]	Yanping Liu(刘艳平), Da He(何达), Yang Jiao(焦阳), Guoqiang Li(李国强), Yu Zheng(郑钰), Qihui Fan(樊琪慧), Gao Wang(王高), Jingru Yao(姚静如), Guo Chen(陈果), Silong Lou(娄四龙), and Liyu Liu(刘雳宇). Nonlinear dynamics of cell migration in anisotropic microenvironment[J]. 中国物理B, 2021, 30(9): 90505-090505.
[13]	Xiu-Xing Zhang(张修兴), Fang-Jv Li(李芳菊), Kai Wang(王凯), Jing Xue(薛晶), Guang-Wen Huo(霍广文), Ai-Ping Fang(方爱平), and Hong-Rong Li(李宏荣). Detection of multi-spin interaction of a quenched XY chain by the average work and the relative entropy[J]. 中国物理B, 2021, 30(9): 90504-090504.
[14]	Zhao-Rui Li(李召瑞), Bo-Hang Chen(陈博航), Hui-Xian Sun(孙慧贤), Guang-Kai Liu(刘广凯), and Shi-Lei Zhu(朱世磊). A sign-function receiving scheme for sine signals enhanced by stochastic resonance[J]. 中国物理B, 2021, 30(8): 80502-080502.
[15]	Jian-Long Wang(王剑龙), Xiao-Lei Leng(冷小磊), and Xian-Bin Liu(刘先斌). Stationary response of colored noise excited vibro-impact system[J]. 中国物理B, 2021, 30(6): 60501-060501.