Effect of time delay on feedback control of a flashing ratchet

EPL

Volumn 81, Issue 1, 2008, Pages

  Craig, E M ^a   Long, B R ^a   Parrondo, J M R ^b   Linke, H ^a  

^a UNIVERSITY OF OREGON   (United States)

^b UNIVERSIDAD COMPLUTENSE DE MADRID   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 79051469434     PISSN: 02955075     EISSN: 12864854     Source Type: Journal    
DOI: 10.1209/0295-5075/81/10002     Document Type: Article

References (27)

1. Ajdari A. and Prost J. 1992 C. R. Acad. Sci. Ser. II: Mec. Phys. Chim. Sci. Terre Univers 315 1635
2. Astumian R. D. and Bier M. 1994 Phys. Rev. Lett. 72 1766
3. Bug A. L. R. and Berne B. J. 1987 Phys. Rev. Lett. 59 948
4. Prost J., Chauwin J.-F., Peliti L. and Ajdari A. 1994 Phys. Rev. Lett. 72 2652
5. Reimann P. 2002 Phys. Rep. 361 57
6. Linke H. (ed) 2002 Ratchets and Brownian Motors: Experiments and Applications, Appl. Phys. A: Mater. Sci. Process. 75 167
7. Bader J. S., Hammond R. W., Henck S. A., Deem M. W., McDermott G. A., Bustillo J. M., Simpson J. W., Mulhern G. T. and Rothberg J. M. 1999 Proc. Natl. Acad. Sci. U.S.A. 96 13165
8. Bader J. S., Deem M. W., Hammond R. W., Henck S. A., Simpson J. W. and Rothberg J. M. 2002 Appl. Phys. A 275 275
9. Downton M. T., Zuckermann M. J., Craig E. M., Plischke M. and Linke H. 2006 Phys. Rev. E 73 011909
10. Kay E. R., Leigh D. A. and Zerbetto F. 2007 Angew. Chem. Int. Ed. 46 72
11. Astumian R. D. 1997 Science 276 917
12. Cao F. J., Dinis L. and Parrondo J. M. R. 2004 Phys. Rev. Lett. 93 040603
13. Dinis L., Parrondo J. M. R. and Cao F. J. 2005 Europhys. Lett. 71 536
14. Kostur M., Hänggi P., Talkner P. and Mateos J. L. 2005 Phys. Rev. E 72 036210
15. Son W.-S., Ryu J.-W., Hwang D.-U., Lee S.-Y., Park Y.-J. and Kim C.-M. 2006 nlin.CD/0612039 preprint
16. Wu D. and Zhu S. 2006 Phys. Rev. E 73 051107
17. Wolfrum M. and Yanchuk S. 2006 Phys. Rev. Lett. 96 220201
18. Mackey M. C. and Glass L. 1977 Science 197 287
19. May R. M. (ed) 1976 Theoretical Ecology (Oxford: Blackwell Scientific Publishers)
20. Tyson J. J. and Othmer H. G. 1978 Prog. Theor. Biol. 5 1
21. Frank T. D. 2005 Phys. Rev. E 71 031106
22. Guillouzic S., L'Heureux I. and Longtin A. 2000 Phys. Rev. E 61 4906
23. Gu X., Zhu S. and Wu D. 2007 Eur. Phys. J. D 42 461
24. Cao F. J., Feito M. and Touchette H. 2007 Eur. Phys. J. B 59 63
25. Cohen A. E. and Moerner W. E. 2006 Proc. Natl. Acad. Sci. U.S.A. 103 4362
26. Feito M. and Cao F. J. 2007 Time-delayed feedback control of a flashing ratchet arXiv:0706.1496 [cond-mat] preprint
27. Cao F. J. and Feito M. 2007 Flux enhancement and multistability induced by time delays in a feedback controlled flashing ratchet an improved version will be published in Phys. Rev. E arXiv:0706.4466 [cond-mat]