Thermal noise can facilitate energy conversion by a ratchet system

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 60, Issue 4, 1999, Pages 4954-4957

  Takagi, Fumiko ^a   Hondou, Tsuyoshi ^a  

^a TOHOKU UNIVERSITY   (Japan)

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ARTICLE;

EID: 0001288989     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.60.4954     Document Type: Article

References (20)

1. T. Yanagida, T. Arata, and F. Oosawa, Nature (London) 316, 366 (1985).
2. A. Ishijima, H. Kojima, H. Higuchi, Y. Harada, T. Funatsu, and T. Yanagida, Biophys. J. 70, 383 (1996).
3. T. Q. P. Uyeda, S. J. Kron, and J. A. Spudich, J. Mol. Biol. 214, 699 (1990).
4. R. Yasuda, H. Noji, K. Kinosita, F. Motojima, and M. Yoshida, J. Bioenerg. Biomembr. 29, 207 (1997).
5. R. D. Vale and F. Oosawa, Adv. Math. 26, 97 (1990).
6. A. F. Huxley and R. M. Simmons, Nature (London) 233, 533 (1971).
7. See, e.g., F. Jülicher, A. Ajdari, and J. Prost, Rev. Mod. Phys. 69, 1269 (1997), and references therein.
8. M. O. Magnasco, Phys. Rev. Lett. 71, 1477 (1993).
9. H. Kamegawa, T. Hondou, and F. Takagi, Phys. Rev. Lett. 80, 5251 (1998).
10. K. Sekimoto, J. Phys. Soc. Jpn. 66, 1234 (1997).
11. K. Sekimoto and S. Sasa, J. Phys. Soc. Jpn. 66, 3326 (1997).
12. M. Matsuo and S. Sasa, Physica A (to be published).
13. T. Hondou and F. Takagi, J. Phys. Soc. Jpn. 67, 2974 (1998).
14. K. Sekimoto, F. Takagi, and T. Hondou, e-print cond-mat/9904322.
15. In this paper, we discuss the systems that convert mechanical energy into mechanical work, while real molecular motors in biological systems convert chemical energy into mechanical work. Recently, an experiment suggests that the protein can store the chemical energy from ATP hydrolysis 19, the energy of which may be stored in a mechanical way; for example, by conformational change of the protein. Some models have been proposed to explain this kind of energy storage 20.
16. H. Risken, The Fokker-Planck Equation, 2nd ed. (Springer-Verlag Berlin, 1989).
17. We consider the low amplitude regime 9 where the amplitude of (Formula presented) is small. In this case, a particle cannot move over the potential peak without thermal noise, as in the case of the oscillating ratchet.
18. A. Parmeggiani, F. Jülicher, A. Ajdari, and J. Prost, Phys. Rev. E 60, 2127 (1999).
19. A. Ishijima, H. Kojima, T. Funatsu, M. Tokunaga, H. Higuchi, H. Tanaka, and T. Yanagida, Cell 92, 161 (1998).
20. See, for example, N. Nakagawa and K. Kaneko, e-print chao-dyn/9903005.