|
|
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 |
|
|
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.
|
Received: 15 April 2011
Revised: 08 November 2011
Accepted manuscript online:
|
PACS:
|
05.40.-a
|
(Fluctuation phenomena, random processes, noise, and Brownian motion)
|
|
05.40.Jc
|
(Brownian motion)
|
|
02.30.Yy
|
(Control theory)
|
|
Fund: 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). |
Corresponding Authors:
Gao Tian-Fu,tianfugao@163.com;Chen Jin-Can,jcchen@xmu.edu.cn
E-mail: tianfugao@163.com;jcchen@xmu.edu.cn
|
Cite this article:
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 2012 Chin. Phys. B 21 020502
|
[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
|
No Suggested Reading articles found! |
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
Cited |
|
|
|
|
Altmetric
|
blogs
Facebook pages
Wikipedia page
Google+ users
|
Online attention
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
View more on Altmetrics
|
|
|