Universal equivalence of mean first-passage time and Kramers rate

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

Volumn 60, Issue 1, 1999, Pages

  Reimann, P ^a   Schmid, G J ^a   Hanggi P ^a  

^a UNIVERSITY OF AUGSBURG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0002450503     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/physreve.60.r1     Document Type: Article

References (28)

1. E. W. Montroll and K. E. Shuler, Adv. Chem. Phys. 1, 361 (1958).
2. R. L. Stratonovich, Topics in the Theory of Random Noise (Gordon and Breach, New York, 1963), Vol. 1.
3. G. H. Weiss, Adv. Chem. Phys. 13, 1 (1966).
4. P. Hänggi, P. Talkner, and M. Borkovec, Rev. Mod. Phys. 62, 251 (1990).
5. N. G. Van Kampen, Stochastic Processes in Physics and Chemistry (North-Holland, Amsterdam, 1992).
6. G. H. Weiss, Aspects and Applications of the Random Walk (North-Holland, Amsterdam, 1994).
7. C. Van den Broeck and P. Hänggi, Phys. Rev. A 30, 2730 (1984).
8. For a review, see P. Hänggi and P. Jung, Adv. Chem. Phys. 89, 239 (1995).
9. U. Behn, R. Müller, and P. Talkner, Phys. Rev. E 47, 3970 (1993), and references therein.
10. V. Balakrishnan, C. Van den Broeck, and P. Hänggi, Phys. Rev. A 38, 4213 (1988).
11. P. Hänggi and P. Talkner, Phys. Rev. A 32, 1934 (1985).
12. J. Luczka, H. Niemiec, and P. Hänggi, Phys. Rev. E 52, 5810 (1995).
13. P. Talkner, P. Hänggi, E. Freidkin, and D. Trautmann, J. Stat. Phys. 48, 231 (1987).
14. M. A. Rodriguez and L. Pesquera, Phys. Rev. A 34, R4532 (1986).
15. P. Hänggi, Z. Phys. B 36, 271 (1980).
16. C. Van den Broeck, J. Stat. Phys. 31, 467 (1983).
17. P. Reimann and P. Talkner, Phys. Rev. A 44, 6348 (1991); Phys. Rev. E 51, 4105 (1995).
18. P. Reimann and P. Talkner, Phys. Rev. A 44, 6348 (1991); Phys. Rev. E 51, 4105 (1995).
19. R. Müller, P. Talkner, and P. Reimann, Physica A 247, 338 (1997).
20. H. A. Kramers, Physica (Utrecht) 7, 284 (1940).
21. L. Farkas, Z. Phys. Chem. (Leipzig) 125, 236 (1927).
22. R. Landauer and J. A. Swanson, Phys. Rev. 121, 1668 (1961); M. Büttiker and R. Landauer, in Nonlinear Phenomena at Phase Transitions and Instabilities, edited by T. Riste (Plenum, New York, 1982); C. R. Doering, P. S. Hagan, and C. D. Levermore, Phys. Rev. Lett. 59, 2129 (1987).
23. R. Landauer and J. A. Swanson, Phys. Rev. 121, 1668 (1961); M. Büttiker and R. Landauer, in Nonlinear Phenomena at Phase Transitions and Instabilities, edited by T. Riste (Plenum, New York, 1982); C. R. Doering, P. S. Hagan, and C. D. Levermore, Phys. Rev. Lett. 59, 2129 (1987).
24. R. Landauer and J. A. Swanson, Phys. Rev. 121, 1668 (1961); M. Büttiker and R. Landauer, in Nonlinear Phenomena at Phase Transitions and Instabilities, edited by T. Riste (Plenum, New York, 1982); C. R. Doering, P. S. Hagan, and C. D. Levermore, Phys. Rev. Lett. 59, 2129 (1987).
25. C. R. Doering and J. C. Gadoua, Phys. Rev. Lett. 69, 2318 (1992).
26. P. Reimann and P. Hänggi, in Stochastic Dynamics, Lecture Notes in Physics, Vol. 484, edited by L. Schimansky-Geier and Th. Pöschel (Springer-Verlag, Berlin, 1997).
27. P. Pechukas and P. Hänggi, Phys. Rev. Lett. 73, 2772 (1994).
28. G. H. Weiss and A. Szabo, Physica A 119, 569 (1983).