The generalized Kramers theory for nonequilibrium open one-dimensional systems

Journal of Chemical Physics

Volumn 112, Issue 19, 2000, Pages 8330-8337

  Banik, Suman Kumar ^a   Chaudhuri, Jyotipratim Ray ^a   Ray, Deb Shankar ^a  

^a DEPARTMENT OF MATERIALS SCIENCE   (India)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000941319     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.481439     Document Type: Article

References (39)

1. H. A. Kramers, Physica (Amsterdam) 7, 284 (1940).
2. P. Hänggi, P. Talkner, and M. Borkovec, Rev. Mod. Phys. 62, 251 (1990).
3. V. I. Mel'nikov, Phys. Rep. 209. 1 (1991).
4. R. Landauer and J. A. Swanson, Phys. Rev. 121, 1668 (1960).
5. J. S. Langer, Ann. Phys. (N.Y.) 54, 258 (1969).
6. P. Talkner and D. Ryter, Phys. Lett. A 88, 162 (1982).
7. N. G. van Kampen, Prog. Theor. Phys. 64, 389 (1978).
8. P. Hänggi, Phys. Lett. A 78. 304 (1980).
9. J. L. Skinner and P. G. Wolynes, J. Chem. Phys. 69, 2143 (1978); 72, 4913 (1980).
10. J. L. Skinner and P. G. Wolynes, J. Chem. Phys. 69, 2143 (1978); 72, 4913 (1980).
11. J. Ray Chaudhuri, G. Gangopadhyay, and D. S. Ray, J. Chem. Phys. 109, 5565 (1998); J. Ray Chaudhuri, B. Deb, G. Gangopadhyay, and D. S. Ray, J. Phys. B 31, 3859 (1998); J. Ray Chaudhuri, S. K. Banik, and B. Deb, Eur. Phys. J. D 6, 415 (1999).
12. J. Ray Chaudhuri, G. Gangopadhyay, and D. S. Ray, J. Chem. Phys. 109, 5565 (1998); J. Ray Chaudhuri, B. Deb, G. Gangopadhyay, and D. S. Ray, J. Phys. B 31, 3859 (1998); J. Ray Chaudhuri, S. K. Banik, and B. Deb, Eur. Phys. J. D 6, 415 (1999).
13. J. Ray Chaudhuri, G. Gangopadhyay, and D. S. Ray, J. Chem. Phys. 109, 5565 (1998); J. Ray Chaudhuri, B. Deb, G. Gangopadhyay, and D. S. Ray, J. Phys. B 31, 3859 (1998); J. Ray Chaudhuri, S. K. Banik, and B. Deb, Eur. Phys. J. D 6, 415 (1999).
14. M. Millonas and C. Ray, Phys. Rev. Lett. 75, 1110 (1995).
15. P. G. Wolynes, Phys. Rev. Lett. 47, 968 (1981).
16. W. H. Miller, J. Chem. Phys. 62, 1899 (1975).
17. A. J. Leggett and A. O. Caldeira, Phys. Rev. Lett. 46, 211 (1981).
18. H. Grabert, P. Schramm, and G. L. Ingold, Phys. Rep. 168, 115 (1988).
19. H. Grabert, U. Weiss, and P. Hänggi, Phys. Rev. Lett. 52, 2193 (1984).
20. U. Weiss, Quantum Dissipative Systems (World Scientific, Singapore, 1993).
21. J. Ray Chaudhuri, B. C. Bag, and D. S. Ray, J. Chem. Phys. 111, 10852 (1999).
22. R. Kubo, M. Toda and N. Hashitsume, Statistical Physics II, Nonequilibrium Statistical Mechanics (Springer, Berlin, 1985).
23. W. Horsthemke and R. Lefever, Noise-Induced Transitions (Springer-Verlag, Berlin, 1984).
24. L. Farkas, Z. Phys. Chem. (Leipzig) 125, 236 (1927).
25. P. Hänggi and H. Thomas, Phys. Rep. 88, 207 (1982).
26. R. D. Astumian, Science 276, 917 (1997), and the references given therein.
27. P. Hänggi, F. Marchesoni, and P. Grigolini, Z. Phys. B: Condens. Matter 56, 333 (1984); K. M. Rattray and A. J. McKane, J. Phys. A 24, 4375 (1991).
28. P. Hänggi, F. Marchesoni, and P. Grigolini, Z. Phys. B: Condens. Matter 56, 333 (1984); K. M. Rattray and A. J. McKane, J. Phys. A 24, 4375 (1991).
29. See, for example, Noise in Nonlinear Dynamical Systems, edited by F. Moss and P. V. E. McClintock (Cambridge University Press, England, 1989), Vols. I-III.
30. J. Masoliver and J. M. Porrà, Phys. Rev. E 48, 4309 (1993).
31. S. J. B. Einchcomb and A. J. McKane, Phys. Rev. E 49, 259 (1994).
32. W. Horsthemke, C. R. Doering, T. S. Ray, and M. A. Burschka, Phys. Rev. A 45, 5492 (1992).
33. S. A. Adelman, J. Chem. Phys. 64, 124 (1976).
34. R. M. Mazo, in Stochastic Processes in Nonequilibrium Systems, edited by L. Garrido, P. Segler, and P. J. Shepherd, Lecture Notes in Physics, Vol. 84 (Springer-Verlag, Berlin, 1978).
35. G. E. Uhlenbeck and L. S. Ornstein, Phys. Rev. 36, 823 (1930).
36. M. C. Wang and G. E. Uhlenbeck, Rev. Mod. Phys. 17, 323 (1945).
37. R. F. Grote and J. T. Hynes, J. Chem. Phys. 73, 2715 (1980).
38. P. Hänggi and F. Mojtabai, Phys. Rev. A 26, 1168 (1982).
39. J. M. Bravo, R. M. Velasco, and J. M. Sancho, J. Math. Phys. 30, 2023 (1989).