Flashing ratchet model with high efficiency

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

Volumn 69, Issue 2 1, 2004, Pages

  Makhnovskii, Yu A ^a,b   Rozenbaum, V M ^a,c   Yang, D Y ^a   Lin, S H ^a   Tsong, T Y ^d,e  

^a INSTITUTE OF ATOMIC AND MOLECULAR SCIENCES   (Taiwan)

^b TOPCHIEV INSTITUTE OF PETROCHEMICAL SYNTHESIS   (Russian Federation)

^c INSTITUTE OF SURFACE CHEMISTRY   (Ukraine)

^d NATIONAL TAIWAN UNIVERSITY   (Taiwan)

^e UNIVERSITY OF MINNESOTA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; DIFFUSION; ENERGY CONVERSION; ENERGY DISSIPATION; ENERGY EFFICIENCY; HIGH ENERGY PHYSICS; INTEGRATION; MARKOV PROCESSES; MATHEMATICAL MODELS; MOTORS; POTENTIAL ENERGY; PROBABILITY; REACTION KINETICS;

BOLTZMANN NUMBER; BROWNIAN MOTORS; ENERGY TRANSDUCTION; HOPPING MOTION; PARTICLE TRANSPORT;

BROWNIAN MOVEMENT;

EID: 37649026906     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.69.021102     Document Type: Article

References (37)

1. P. Reimann, Phys. Rep. 361, 57 (2002).
2. F. Jülicher, A. Ajdari, and J. Prost, Rev. Mod. Phys. 69, 1269 (1997).
3. Appl. Phys. A: Mater. Sci. Process. A75, 167-352 (2002), special issue on rathchets and Brownian motors: basid experiments and applications, edited by H. Linke.
4. E.H. Serpersu and T.Y. Tsong, J. Membr. Biol. 74, 191 (1983); T.Y. Tsong and R.D. Astumian, Bioelectrochem. Bioenerg. 15, 457 (1986); R.D. Astumian, P.B. Chock, T.Y. Tsong, Y.D. Chen, and H.V. Westerhoff, Proc. Natl. Acad. Sci. U.S.A. 84, 434 (1987); R.D. Astumian, P.B. Chock, T.Y. Tsong, and H.V. Westerhoff, Phys. Rev. A 39, 6416 (1989).
5. E.H. Serpersu and T.Y. Tsong, J. Membr. Biol. 74, 191 (1983); T.Y. Tsong and R.D. Astumian, Bioelectrochem. Bioenerg. 15, 457 (1986); R.D. Astumian, P.B. Chock, T.Y. Tsong, Y.D. Chen, and H.V. Westerhoff, Proc. Natl. Acad. Sci. U.S.A. 84, 434 (1987); R.D. Astumian, P.B. Chock, T.Y. Tsong, and H.V. Westerhoff, Phys. Rev. A 39, 6416 (1989).
6. E.H. Serpersu and T.Y. Tsong, J. Membr. Biol. 74, 191 (1983); T.Y. Tsong and R.D. Astumian, Bioelectrochem. Bioenerg. 15, 457 (1986); R.D. Astumian, P.B. Chock, T.Y. Tsong, Y.D. Chen, and H.V. Westerhoff, Proc. Natl. Acad. Sci. U.S.A. 84, 434 (1987); R.D. Astumian, P.B. Chock, T.Y. Tsong, and H.V. Westerhoff, Phys. Rev. A 39, 6416 (1989).
7. E.H. Serpersu and T.Y. Tsong, J. Membr. Biol. 74, 191 (1983); T.Y. Tsong and R.D. Astumian, Bioelectrochem. Bioenerg. 15, 457 (1986); R.D. Astumian, P.B. Chock, T.Y. Tsong, Y.D. Chen, and H.V. Westerhoff, Proc. Natl. Acad. Sci. U.S.A. 84, 434 (1987); R.D. Astumian, P.B. Chock, T.Y. Tsong, and H.V. Westerhoff, Phys. Rev. A 39, 6416 (1989).
8. J.T. Finer, R.S. Simmons, and J.A. Spudich, Nature (London) 368, 113 (1994); J. Howard, ibid. 389, 561 (1997); K. Kitamura, M. Tokunaga, A.H. Iwane, and T. Yanagida, ibid. 397, 129 (1999).
9. J.T. Finer, R.S. Simmons, and J.A. Spudich, Nature (London) 368, 113 (1994); J. Howard, ibid. 389, 561 (1997); K. Kitamura, M. Tokunaga, A.H. Iwane, and T. Yanagida, ibid. 397, 129 (1999).
10. J.T. Finer, R.S. Simmons, and J.A. Spudich, Nature (London) 368, 113 (1994); J. Howard, ibid. 389, 561 (1997); K. Kitamura, M. Tokunaga, A.H. Iwane, and T. Yanagida, ibid. 397, 129 (1999).
11. K. Svoboda, C.F. Schmidt, B.J. Schnapp, and S.M. Block, Nature (London) 365, 721 (1993); S.M. Block, J. Cell Biol. 140, 1281 (1998).
12. K. Svoboda, C.F. Schmidt, B.J. Schnapp, and S.M. Block, Nature (London) 365, 721 (1993); S.M. Block, J. Cell Biol. 140, 1281 (1998).
13. J. Rousselet, L. Salome, A. Ajdari, and J. Prost, Nature (London) 370, 446 (1994); L.P. Faucheux, L.S. Bourdieu, P.D. Kaplan, and A.J. Libchaber, Phys. Rev. Lett. 74, 1504 (1995).
14. J. Rousselet, L. Salome, A. Ajdari, and J. Prost, Nature (London) 370, 446 (1994); L.P. Faucheux, L.S. Bourdieu, P.D. Kaplan, and A.J. Libchaber, Phys. Rev. Lett. 74, 1504 (1995).
15. R.D. Astumian and M. Bier, Phys. Rev. Lett. 72, 1766 (1994); J. Prost, J.-F. Chauwin, L. Peliti, and A. Ajdari, ibid. 72, 2652 (1994); T.Y. Tsong and R.D. Astumian, Prog. Biophys. Mol. Biol. 50, 1 (1987).
16. R.D. Astumian and M. Bier, Phys. Rev. Lett. 72, 1766 (1994); J. Prost, J.-F. Chauwin, L. Peliti, and A. Ajdari, ibid. 72, 2652 (1994); T.Y. Tsong and R.D. Astumian, Prog. Biophys. Mol. Biol. 50, 1 (1987).
17. R.D. Astumian and M. Bier, Phys. Rev. Lett. 72, 1766 (1994); J. Prost, J.-F. Chauwin, L. Peliti, and A. Ajdari, ibid. 72, 2652 (1994); T.Y. Tsong and R.D. Astumian, Prog. Biophys. Mol. Biol. 50, 1 (1987).
18. A.L.R. Bug and B.J. Berne, Phys. Rev. Lett. 59, 948 (1987); A. Ajdari and J. Prost, C. R. Acad. Sci., Ser. II: Mec., Phys., Chim., Sci. Terre Univers 315, 1635 (1992).
19. A.L.R. Bug and B.J. Berne, Phys. Rev. Lett. 59, 948 (1987); A. Ajdari and J. Prost, C. R. Acad. Sci., Ser. II: Mec., Phys., Chim., Sci. Terre Univers 315, 1635 (1992).
20. J.-F. Chauwin, A. Ajdari, and J. Prost, Europhys. Lett. 27, 421 (1994).
21. M.O. Magnasco, Phys. Rev. Lett. 71, 1477 (1993); C.R. Doering, W. Horsthemke, and J. Riordan, ibid. 72, 2984 (1984); R. Bartussek, P. Hänggi, and J.G. Kissner, Europhys. Lett. 28, 459 (1994).
22. M.O. Magnasco, Phys. Rev. Lett. 71, 1477 (1993); C.R. Doering, W. Horsthemke, and J. Riordan, ibid. 72, 2984 (1984); R. Bartussek, P. Hänggi, and J.G. Kissner, Europhys. Lett. 28, 459 (1994).
23. M.O. Magnasco, Phys. Rev. Lett. 71, 1477 (1993); C.R. Doering, W. Horsthemke, and J. Riordan, ibid. 72, 2984 (1984); R. Bartussek, P. Hänggi, and J.G. Kissner, Europhys. Lett. 28, 459 (1994).
24. J.M.R. Parrondo and B.J. de Cisneros, Appl. Phys. A: Mater. Sci. Process. 75, 179 (2002).
25. R.C. Woledge, N.A. Curtin, and E. Homsher, Energetic Aspects of Muscle Contraction (Academic Press, New York, 1985); J. Howard, Mechanics of Motor Proteins and the Cytoskeleton (Sinauer Associates, Sunderland, 2001).
26. R.C. Woledge, N.A. Curtin, and E. Homsher, Energetic Aspects of Muscle Contraction (Academic Press, New York, 1985); J. Howard, Mechanics of Motor Proteins and the Cytoskeleton (Sinauer Associates, Sunderland, 2001).
27. A. Parmeggiani, F. Jülicher, A. Ajdari, and J. Prost, Phys. Rev. E 60, 2127 (1999).
28. I.M. Sokolov, Phys. Rev. E 63, 021107 (2001); e-print cond-mat/0002251; e-print cond-mat/0207685.
29. Interestingly, directional movement of a Brownian particle can be obtained even when a periodic potential is symmetric if the potential fluctuates among three or more states with properly shifted phases in a cyclic way (see Ref. [17]).
30. Y. Chen, Phys. Rev. Lett. 79, 3117 (1997).
31. To make the problem analytically treatable, we use simple exponential force-dependent transition rates. In fact, the load dependence of transition rates is more complicated than the Arrhenius exponential (see Ref. [19]).
32. G. Lattanzi and A. Maritan, J. Chem. Phys. 117, 10 339 (2002).
33. H. Ambaye and K.W. Kehr, Physica A 267, 111 (1999).
34. R.D. Astumian, J. Phys. Chem. 100, 19 075 (1996).
35. V.S. Markin, T.Y. Tsong, R.D. Astumian, and R. Robertson, J. Chem. Phys. 93, 5062 (1990).
36. Y. Chen and T.Y. Tsong, Biophys. J. 66, 2151 (1994).
37. J.M.R. Parrondo, J.M. Blanko, F.J. Chao, and R. Brito, Europhys. Lett. 43, 248 (1998).