Please wait a minute...
Chin. Phys. B, 2012, Vol. 21(7): 078701    DOI: 10.1088/1674-1056/21/7/078701
INTERDISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY Prev   Next  

A feedback controlled Brownian ratchet operated by temperature switch

Zhang Hong-Wei(张红卫)a)b), Wen Shu-Tang(文书堂)c)†, Zhang Hai-Tao(张海涛)a), Li Yu-Xiao(李玉晓)a), and Chen Gai-Rong(陈改荣)c)
a School of Physics and Engineering, Zhengzhou University, Zhengzhou 450052, China;
b Department of Physics, Zhengzhou Normal University, Zhengzhou 450044, China;
c School of Chemistry and Chemical Engineering, Xinxiang University, Xinxiang 453003, China
Abstract  In this paper, we present a model of the Brownian motor in a feedback controlled ratchet, in which the application of the flashing potential depends on the state of the particle to be controlled. We derive an analytical expression for the velocity induced by the feedback ratchet, which is a function of several parameters, including the ratio of the two switching temperatures and the asymmetry parameter of the potential field. The motor shows a current inversion when either parameter is varied.
Keywords:  feedback      temperature switch      asymmetry parameter  
Received:  10 March 2012      Revised:  05 April 2012      Accepted manuscript online: 
PACS:  87.15.B- (Structure of biomolecules)  
  87.15.H- (Dynamics of biomolecules)  
  87.15.R- (Reactions and kinetics)  
  87.15.La (Mechanical properties)  
Fund: Project supported by the Educational Commission of Henan Province, China (Grant No. 2006140015) and the Science and Technology Planning Project of Henan Province, China (Grant No. 092300410142).
Corresponding Authors:  Wen Shu-Tang     E-mail:  wensttnn@163.com

Cite this article: 

Zhang Hong-Wei(张红卫), Wen Shu-Tang(文书堂), Zhang Hai-Tao(张海涛), Li Yu-Xiao(李玉晓), and Chen Gai-Rong(陈改荣) A feedback controlled Brownian ratchet operated by temperature switch 2012 Chin. Phys. B 21 078701

[1] Parrondo J M R and Cisneros de B J 2002 Appl. Phys. A 75 179
[2] Li W, Zhao T J, Guo H Y, Ji Q and Zhan Y 2004 Acta Phys. Sin. 53 3684 (in Chinese)
[3] Zhang S H, An H L, Liu Y Z, Zhang Z D, Geng J P and Zhan Y 2011 Acta Phys. Sin. 60 048701 (in Chinese)
[4] Gao X Y and Zheng Z G 2011 Acta Phys. Sin. 60 044401 (in Chinese)
[5] Zhang T X and Zheng Z G 2009 Chin. Phys. B 18 4187
[6] Nakagawa N and Komatsu T S 2006 Europhys. Lett. 75 22
[7] Asfaw M and Bekele M 2007 Physica A 384 346
[8] Lin F and Bao J D 2011 Chin. Phys. B 20 040502
[9] Cao F J, Feito M and Touchette H 2007 Phys. A 388 113
[10] Cao F J, Dinis L and Parrondo J M R 2004 Phys. Rev. Lett. 93 040603
[11] Zhang H W, Wen S T, Chen G R, Li Y X, Cao Z X and Li W 2012 Chin. Phys. B 21 038701
[12] Bustamante C, Chemla Y R, Forde N R and Izhaky D 2004 Annu. Rev. Biochem. 73 705
[13] Wang H Y and Oster G 1998 Nature 391 510
[14] Lv Y, Wang H Y and Bao J D 2010 Acta Phys. Sin. 59 4466 (in Chinese)
[15] Mermall V, Post P L and Mooseker M S 1998 Science 279 527
[16] Feito M and Cao F J 2007 Eur. Phys. J. B 59 63
[17] Cao F J and Feito M 2009 Physica A 59 113
[18] Zhao K H and Luo W Y2004 New Concept Physics (1st edn.) (Beijing: Higher Education Press) pp. 40--45
[19] Gomez-Martin A and Sancho J M 2005 Phys. Rev. E 71 021101
[1] Feedback control and quantum error correction assisted quantum multi-parameter estimation
Hai-Yuan Hong(洪海源), Xiu-Juan Lu(鲁秀娟), and Sen Kuang(匡森). Chin. Phys. B, 2023, 32(4): 040603.
[2] Localized nonlinear waves in a myelinated nerve fiber with self-excitable membrane
Nkeh Oma Nfor, Patrick Guemkam Ghomsi, and Francois Marie Moukam Kakmeni. Chin. Phys. B, 2023, 32(2): 020504.
[3] Coupling characteristics of laterally coupled gratings with slots
Kun Tian(田锟), Yonggang Zou(邹永刚), Linlin Shi(石琳琳), He Zhang(张贺), Yingtian Xu(徐英添), Jie Fan(范杰), Hui Tang(唐慧), and Xiaohui Ma(马晓辉). Chin. Phys. B, 2022, 31(11): 114208.
[4] Explosive synchronization in a mobile network in the presence of a positive feedback mechanism
Dong-Jie Qian(钱冬杰). Chin. Phys. B, 2022, 31(1): 010503.
[5] Numerical investigation on photonic microwave generation by a sole excited-state emitting quantum dot laser with optical injection and optical feedback
Zai-Fu Jiang(蒋再富), Zheng-Mao Wu(吴正茂), Wen-Yan Yang(杨文艳), Chun-Xia Hu(胡春霞), Yan-Hong Jin(靳艳红), Zhen-Zhen Xiao(肖珍珍), and Guang-Qiong Xia(夏光琼). Chin. Phys. B, 2021, 30(5): 050504.
[6] A 795 nm gain coupled distributed feedback semiconductor laser based on tilted waveguides
De-Zheng Ma(马德正), Yong-Yi Chen(陈泳屹), Yu-Xin Lei(雷宇鑫), Peng Jia(贾鹏), Feng Gao(高峰), Yu-Gang Zeng(曾玉刚), Lei Liang(梁磊), Yue Song(宋悦), Chun-Kao Ruan(阮春烤), Xia Liu(刘夏), Li Qin(秦莉), Yong-Qiang Ning(宁永强), and Li-Jun Wang(王立军). Chin. Phys. B, 2021, 30(5): 050505.
[7] Effective suppression of beta oscillation in Parkinsonian state via a noisy direct delayed feedback control scheme
Hai-Tao Yu(于海涛), Zi-Han Meng(孟紫寒), Chen Liu(刘晨), Jiang Wang(王江), and Jing Liu(刘静). Chin. Phys. B, 2021, 30(3): 038703.
[8] Sensitivity to external optical feedback of circular-side hexagonal resonator microcavity laser
Tong Zhao(赵彤), Zhi-Ru Shen(申志儒), Wen-Li Xie(谢文丽), Yan-Qiang Guo(郭龑强), An-Bang Wang(王安帮), and Yun-Cai Wang(王云才). Chin. Phys. B, 2021, 30(12): 120513.
[9] Random-injection-based two-channel chaos with enhanced bandwidth and suppressed time-delay signature by mutually coupled lasers: Proposal and numerical analysis
Shi-Rong Xu(许世蓉), Xin-Hong Jia (贾新鸿), Hui-Liang Ma(马辉亮), Jia-Bing Lin(林佳兵), Wen-Yan Liang(梁文燕), and Yu-Lian Yang(杨玉莲). Chin. Phys. B, 2021, 30(1): 014203.
[10] Quantum noise of a harmonic oscillator under classical feedback control
Feng Tang(汤丰), Nan Zhao(赵楠). Chin. Phys. B, 2020, 29(9): 090303.
[11] Asymmetric stochastic resonance under non-Gaussian colored noise and time-delayed feedback
Ting-Ting Shi(石婷婷), Xue-Mei Xu(许雪梅), Ke-Hui Sun(孙克辉), Yi-Peng Ding(丁一鹏), Guo-Wei Huang(黄国伟). Chin. Phys. B, 2020, 29(5): 050501.
[12] Optimal parameter estimation of open quantum systems
Yinghua Ji(嵇英华), Qiang Ke(柯强), and Juju Hu(胡菊菊). Chin. Phys. B, 2020, 29(12): 120303.
[13] Influence of homodyne-based feedback control on the entropic uncertainty in open quantum system
Juju Hu(胡菊菊), Qin Xue(薛琴). Chin. Phys. B, 2019, 28(7): 070303.
[14] Energy feedback and synchronous dynamics of Hindmarsh-Rose neuron model with memristor
K Usha, P A Subha. Chin. Phys. B, 2019, 28(2): 020502.
[15] Quantum discord of two-qutrit system under quantum-jump-based feedback control
Chang Wang(王畅), Mao-Fa Fang(方卯发). Chin. Phys. B, 2019, 28(12): 120302.
No Suggested Reading articles found!