Time-delayed feedback control of a flashing ratchet

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 76, Issue 6, 2007, Pages

  Feito, M ^a   Cao, F J ^a,b  

^a UNIVERSIDAD COMPLUTENSE DE MADRID   (Spain)

^b OBSERVATOIRE DE PARIS   (France)

Author keywords

[No Author keywords available]

Indexed keywords

CLOSED LOOP CONTROL SYSTEMS; INFORMATION SYSTEMS; NETWORK PROTOCOLS; NUMERICAL METHODS; OPTIMIZATION; TIME DELAY;

CENTER-OF-MASS VELOCITIES; CLOSED-LOOP PROTOCOL; FLASHING RATCHETS;

FEEDBACK CONTROL;

EID: 37149038517     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.76.061113     Document Type: Article

References (26)

1. M. V. Smoluchowski, Phys. Z. PHZTAO 0369-982X 13, 1069 (1912).
2. R. P. Feynman, R. B. Leighton, and M. Sands, The Feynman Lectures on Physics (Addison-Wesley, Reading, MA, 1963).
3. A. Ajdari and J. Prost, C. R. Acad. Sci., Ser. II: Mec., Phys., Chim., Sci. Terre Univers CRAMED 0764-4450 315, 1635 (1992).
4. M. O. Magnasco, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.71. 1477 71, 1477 (1993).
5. R. D. Astumian and M. Bier, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.72.1766 72, 1766 (1994).
6. P. Reimann, Phys. Rep. PRPLCM 0370-1573 10.1016/S0370-1573(01)00081-3 361, 57 (2002).
7. H. Linke, Appl. Phys. A: Mater. Sci. Process. APAMFC 0947-8396 10.1007/s003390201401 75, 167 (2002).
8. F. J. Cao, L. Dinis, and J. M. R. Parrondo, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.040603 93, 040603 (2004).
9. L. Dinis, J. M. R. Parrondo, and F. J. Cao, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2005-10116-1 71, 536 (2005).
10. M. Feito and F. J. Cao, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.74.041109 74, 041109 (2006).
11. J. Rousselet, L. Salome, A. Ajdari, and J. Prost, Nature (London) NATUAS 0028-0836 10.1038/370446a0 370, 446 (1994).
12. C. Marquet, A. Buguin, L. Talini, and P. Silberzan, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.88.168301 88, 168301 (2002).
13. M. Bier, BioSystems BSYMBO 0303-2647 88, 301 (2007).
14. R. F. Stengel, Optimal Control and Estimation (Dover, New York, 1994).
15. J. Bechhoefer, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.77.783 77, 783 (2005).
16. G. A. Bochanov and F. A. Rihan, J. Comput. Appl. Math. JCAMDI 0377-0427 10.1016/S0377-0427(00)00468-4 125, 183 (2000).
17. T. D. Frank, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.71.031106 71, 031106 (2005).
18. M. Kostur, P. Hänggi, P. Talkner, and J. L. Mateos, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.72.036210 72, 036210 (2005).
19. W. S. Son, J. W. Ryu, D. U. Hwang, S. Y. Lee, Y. J. Park, and C. M. Kim, e-print arXiv:nlin.CD/0612039.
20. S. Guillouzic, I. L'Heureux, and A. Longtin, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.59.3970 59, 3970 (1999).
21. T. D. Frank, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.72.011112 72, 011112 (2005).
22. T. D. Frank, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.66.011914 66, 011914 (2002).
23. H. Risken, The Fokker-Planck Equation, Methods of Solution and Applications (Springer-Verlag, Berlin, 1989).
24. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions (Dover, New York, 1972).
25. F. J. Cao, M. Feito, and H. Touchette, e-print arXiv:cond-mat/0703492.
26. M. Feito and F. J. Cao, Eur. Phys. J. B EPJBFY 1434-6028 10.1140/epjb/e2007-00255-7 59, 63 (2007).