Constructive role of noise: Fast fluctuation asymptotics of transport in stochastic ratchets

Chaos

Volumn 8, Issue 3, 1998, Pages 643-649

  Doering, Charles R ^a   Dontcheva, Lubomira A ^a   Klosek, Malgorzata M ^b  

^a UNIVERSITY OF MICHIGAN   (United States)

^b UNIVERSITY OF WISCONSIN MILWAUKEE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001053304     PISSN: 10541500     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.166346     Document Type: Article

References (20)

1. H. A. Kramers, Physica (Utrecht) 7, 284 (1940).
2. H. Risken, The Fokker Planck Equations (Springer, Berlin, 1984).
3. M. Magnasco, Phys. Rev. Lett. 71, 1477 (1993).
4. (a) C. R. Doering, W. Horsthemke, and J. Riordan, Phys. Rev. Lett. 72, 2984 (1994);
5. (b) R. Bartussek, P. Hänggi, and J. G. Kissner, Europhys. Lett. 28, 459 (1994);
6. (c) M. Bier, Phys. Lett. A 211, 12 (1996).
7. T. C. Elston and C. R. Doering, J. Stat. Phys. 83, 359 (1996).
8. R. D. Astumian and M. Bier, Phys. Rev. Lett. 72, 1766 (1994); J. Prost, J. Chauwin, L. Peliti, and A. Ajdari, ibid. 72, 2652 (1994).
9. R. D. Astumian and M. Bier, Phys. Rev. Lett. 72, 1766 (1994); J. Prost, J. Chauwin, L. Peliti, and A. Ajdari, ibid. 72, 2652 (1994).
10. C. Peskin and G. Oster, Biophys. J. 68, 202s (1995).
11. J. Rousselet, L. Salome, A. Ajdari, and J. Prost, Nature (London) 370 (1994); L. P. Faucheux, L. S. Bordieu, P. D. Kaplan, and A. J. Libchaber, Phys. Rev. Lett. 74, 1504 (1995).
12. J. Rousselet, L. Salome, A. Ajdari, and J. Prost, Nature (London) 370 (1994); L. P. Faucheux, L. S. Bordieu, P. D. Kaplan, and A. J. Libchaber, Phys. Rev. Lett. 74, 1504 (1995).
13. (a) C. R. Doering, Nuovo Cimento D 17, 685 (1995);
14. (b) P. Hängti and R. Bartussel, Lect. Notes Phys. 476, 294 (1996);
15. (c) F. Jülicher, A Ajdari, and J. Prost, Rev. Mod. Phys. 69, 1269 (1997);
16. (d) R. D. Astumian, Science 276, 917 (1997).
17. J. D. Murray, Asymptotic Analysis (Springer, New York, 1984).
18. W. Horsthemke and R. Lefever, Noise Induced Transitions (Springer, New York, 1984); singular perturbation theory for more general discrete Markovian noise is developed in M. M. Klosek, B. J. Matkowsy, and Z. Schuss, SIAM (Soc. Ind. Appl. Math.) J. Appl. Math. 49, 1811 (1989).
19. W. Horsthemke and R. Lefever, Noise Induced Transitions (Springer, New York, 1984); singular perturbation theory for more general discrete Markovian noise is developed in M. M. Klosek, B. J. Matkowsy, and Z. Schuss, SIAM (Soc. Ind. Appl. Math.) J. Appl. Math. 49, 1811 (1989).
20. See, for example, the other relevant contributions to this issue of Chaos or the recent review: L. Gammaitoni, P. Hänggi, P. Jung, and F. Marchesoni, Rev. Mod. Phys. 70, 223 (1998).