Transformation of dynamical fluctuation into coherent energy

Journal of the Physical Society of Japan

Volumn 67, Issue 6, 1998, Pages 1818-1821

  Hondou, Tsuyoshi ^a  

^a TOHOKU UNIVERSITY   (Japan)

Author keywords

Chaos; Efficiency; Energetics; Fluctuation; Ratchet

Indexed keywords

EID: 22044457976     PISSN: 00319015     EISSN: None     Source Type: Journal    
DOI: 10.1143/JPSJ.67.1818     Document Type: Article

References (19)

1. F. Jülicher, A. Ajdari and J. Prost: Rev. Mod. Phys. 69 (1997) 1269.
2. R. P. Feynman, R. B. Leighton and M. Sands: The Feynman Lectures in Physics (Addison-Wesley, Massachussets, 1966).
3. Early works where the idea of noise-induced transport is discussed are found in M. Büttiker: Z. Phys. B 68 (1987) 161;
4. R. Landauer: J. Stat. Phys. 53 (1988) 233.
5. 2) the efficiency was estimated much higher than that of ref. 6.
6. An expression of the efficiency of energy transformation is given (without derivation) in F. Jülicher and J. Prost: Phys. Rev. Lett. 75 (1995) 2618.
7. K. Sekimoto: J. Phys. Soc. Jpn. 66 (1997) 1234.
8. See, for example, C. W. Gardiner: Handbook of Stochastic Methods 2nd ed. (Springer-Verlag, Berlin, 1990).
9. Deterministic diffusion by chaos is reported earlier, for example, in S. Grossmann and H. Fujisaka: Phys. Rev. A 26 (1982) 1779.
10. T. Hondou: J. Phys. Soc. Jpn. 63 (1994) 2014;
11. T. Hondou and Y. Sawada: Phys. Rev. Lett. 75 (1995) 3269;
12. T. Hondou and Y. Sawada: Phys. Rev. Lett. ibid. 76 (1996) 1005.
13. tr for a generalized map are given in T. Hondou and Y. Sawada: Phys. Rev. E 54 (1996) 3149.
14. See, for example, H. G. Schuster: Deterministic Chaos (Physik-Verlag, Berlin, 1984).
15. T. Hondou and Y. Sawada: Europhys. Lett. 35 (1996) 313.
16. H. Kamegawa, T. Hondou and F. Takagi: to be published in Phys. Rev. Lett.
17. If the fluctuation correlation time is sufficiently larger than any other timescale of the ratchet, an analytical expression of the efficiency can be obtained by quasi-statistical methods. See ref. 13.
18. For example, R. C. Woledge, N. A. Curtin and E. Homsher: Energetic Aspect of Muscle Contraction (Academic Press, New York, 1985).
19. T. Hondou: unpublished.