Markov processes driven by quasi-periodic deterministic forces

Annalen der Physik (Leipzig)

Volumn 9, Issue 9, 2000, Pages 741-754

  Talkner, Peter ^a  

^a PAUL SCHERRER INSTITUTE   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

DYNAMICS; EIGENVALUES AND EIGENFUNCTIONS; FREQUENCIES; MARKOV PROCESSES; QUANTUM THEORY; SPECTRUM ANALYSIS; STATE SPACE METHODS;

ADIABATIC LIMIT; APERIODIC FORCING; QUASI PERIODIC DETERMINISTIC FORCES; SPECTRAL REPRESENTATION;

STATISTICAL MECHANICS;

EID: 0033697290     PISSN: 00033804     EISSN: None     Source Type: Journal    
DOI: 10.1002/1521-3889(200010)9:9/10<741::AID-ANDP741>3.0.CO;2-E     Document Type: Article

References (24)

1. R. Kubo, Rep. Prog. Phys. 29 (1966) 255
2. P. Hänggi and H. Thomas, Phys. Rep. 88 (1982) 207
3. For a recent, comprehensive review see L. Gammaitoni, P. Hänggi, P. Jung, and F. Marchesoni, Rev. Mod. Phys. 70 (1998) 223
4. For recent reviews see R. D. Astumian, Science 267 (1997) 917; F. Jülicher, A. Ajdari, and J. Prost, Rev. Mod. Phys. 69 (1997) 1269
5. For recent reviews see R. D. Astumian, Science 267 (1997) 917; F. Jülicher, A. Ajdari, and J. Prost, Rev. Mod. Phys. 69 (1997) 1269
6. R. Benzi, A. Sutera, G. Parisi, and A. Vulpiani, J. Phys. A 14 (1981) L453
7. M. Milankovitch, Kanon der Erdbestrahlung und seine Anwendung auf das Eiszeiten-problem, Royal Serbian Sciences, Spec. Pub. 132, section of Mathematical and Natural Sciences, vol. 33, Belgrade, 633pp., 1941 [Canon of Insolation and Ice Age Problem, English Translation by Israel Program for Scientific Translation and published for the U.S. Department of Commerce and the National Science Foundation, Washington 1969]
8. M. Milankovitch, Kanon der Erdbestrahlung und seine Anwendung auf das Eiszeiten-problem, Royal Serbian Sciences, Spec. Pub. 132, section of Mathematical and Natural Sciences, vol. 33, Belgrade, 633pp., 1941 [Canon of Insolation and Ice Age Problem, English Translation by Israel Program for Scientific Translation and published for the U.S. Department of Commerce and the National Science Foundation, Washington 1969]
9. G. Matteucci, Climate Dynamics 3 (1989) 179; 6 (1991) 67
10. G. Matteucci, Climate Dynamics 3 (1989) 179; 6 (1991) 67
11. P. Jung and P. Hänggi, Phys. Rev. A 44 (1991) 8032; G. Hu, D. C. Gong, X. D. Weng, C. Y. Yang, G. R. Quing, and L. Rong, Phys. Rev. A 46 (1992) 3250; A. Neimann and L. Schimansky-Geier, Phys. Rev. Lett. 72 (1994) 2988; J. J. Collins, C. C. Chow and T. T. Imhoff, Phys. Rev. E 52 (1995) R3321
12. P. Jung and P. Hänggi, Phys. Rev. A 44 (1991) 8032; G. Hu, D. C. Gong, X. D. Weng, C. Y. Yang, G. R. Quing, and L. Rong, Phys. Rev. A 46 (1992) 3250; A. Neimann and L. Schimansky-Geier, Phys. Rev. Lett. 72 (1994) 2988; J. J. Collins, C. C. Chow and T. T. Imhoff, Phys. Rev. E 52 (1995) R3321
13. P. Jung and P. Hänggi, Phys. Rev. A 44 (1991) 8032; G. Hu, D. C. Gong, X. D. Weng, C. Y. Yang, G. R. Quing, and L. Rong, Phys. Rev. A 46 (1992) 3250; A. Neimann and L. Schimansky-Geier, Phys. Rev. Lett. 72 (1994) 2988; J. J. Collins, C. C. Chow and T. T. Imhoff, Phys. Rev. E 52 (1995) R3321
14. P. Jung and P. Hänggi, Phys. Rev. A 44 (1991) 8032; G. Hu, D. C. Gong, X. D. Weng, C. Y. Yang, G. R. Quing, and L. Rong, Phys. Rev. A 46 (1992) 3250; A. Neimann and L. Schimansky-Geier, Phys. Rev. Lett. 72 (1994) 2988; J. J. Collins, C. C. Chow and T. T. Imhoff, Phys. Rev. E 52 (1995) R3321
15. For recent reviews see S.-I. Chu, Adv. Chem. Phys. 73 (1989) 739; M. Grifoni and P. Hänggi, Phys. Rep. 304 (1998) 229
16. For recent reviews see S.-I. Chu, Adv. Chem. Phys. 73 (1989) 739; M. Grifoni and P. Hänggi, Phys. Rep. 304 (1998) 229
17. P. Jung, Phys. Rep. 234 (1993) 175
18. N. G. van Kampen, Stochastic Processes in Physics and Chemistry, North Holland, Amsterdam 1992
19. H. Risken, The Fokker-Planck Equation, Springer, Berlin 1989
20. H. Sambe, Phys. Rev. A 7 (1973) 2203
21. P. Jung and P. Hänggi, Phys. Rev. A 41 (1990) 2977
22. P. Talkner, New J. Phys. 1 (1999) 4 (http://www.njp.org/)
23. T. Kato, Perturbation Theory for Linear Operators, Springer, Berlin 1984
24. P. Hänggi, P. Talkner, and M. Borkovec, Rev. Mod. Phys. 62 (1990) 251