Rate processes with non-Markovian dynamical disorder

Journal of Chemical Physics

Volumn 122, Issue 16, 2005, Pages

  Goychuk, Igor ^a,b  

^a UNIVERSITY OF AUGSBURG   (Germany)

^b BOGOLYUBOV INSTITUTE FOR THEORETICAL PHYSICS   (Ukraine)

Author keywords

[No Author keywords available]

Indexed keywords

ELECTRON TRANSFER (ET); RATE PROCESSES; RESIDENCE TIME DISTRIBUTION (RTD); VIBRATIONAL RELAXATION;

COMPLEXATION; CONFORMATIONS; ELECTRONIC STRUCTURE; LAPLACE TRANSFORMS; MARKOV PROCESSES; MOLECULAR VIBRATIONS; POISSON EQUATION; POLYNOMIALS; STOCHASTIC PROGRAMMING;

RATE CONSTANTS;

EID: 21244462360     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1884087     Document Type: Article

References (48)

1. R. Zwanzig, Acc. Chem. Res. 23, 148 (1990).
2. Electron Transfer: From Isolated Molecules to Biomolecules, Adv. Chem. Phys., Vol. 106 and 107, edited by, J. Jortner, and, M. Bixon, (Wiley, New York, 1999).
3. V. May and O. Kühn, Charge and Energy Transfer Dynamics in Molecular Systems: A Theoretical Introduction (Wiley-VCH, Weinheim, 2000).
4. N. Agmon and J. J. Hopfield, J. Chem. Phys. 78, 6947 (1983).
5. H. Sumi and R. A. Marcus, J. Chem. Phys. 0021-9606 10.1063/1.449978 84, 4894 (1986); K. V. Shaitan and A. B. Rubin, Biofizika 0006-3029 27, 386 (1982); B. Cartling, J. Chem. Phys. 0021-9606 10.1063/1.449737 83, 5231 (1985); B. Bagchi, G. R. Fleming, and D. W. Oxtoby, J. Chem. Phys. 78, 7375 (1983).
6. H. Sumi and R. A. Marcus, J. Chem. Phys. 0021-9606 10.1063/1.449978 84, 4894 (1986); K. V. Shaitan and A. B. Rubin, Biofizika 0006-3029 27, 386 (1982); B. Cartling, J. Chem. Phys. 0021-9606 10.1063/1.449737 83, 5231 (1985); B. Bagchi, G. R. Fleming, and D. W. Oxtoby, J. Chem. Phys. 78, 7375 (1983).
7. H. Sumi and R. A. Marcus, J. Chem. Phys. 0021-9606 10.1063/1.449978 84, 4894 (1986); K. V. Shaitan and A. B. Rubin, Biofizika 0006-3029 27, 386 (1982); B. Cartling, J. Chem. Phys. 0021-9606 10.1063/1.449737 83, 5231 (1985); B. Bagchi, G. R. Fleming, and D. W. Oxtoby, J. Chem. Phys. 78, 7375 (1983).
8. H. Sumi and R. A. Marcus, J. Chem. Phys. 0021-9606 10.1063/1.449978 84, 4894 (1986); K. V. Shaitan and A. B. Rubin, Biofizika 0006-3029 27, 386 (1982); B. Cartling, J. Chem. Phys. 0021-9606 10.1063/1.449737 83, 5231 (1985); B. Bagchi, G. R. Fleming, and D. W. Oxtoby, J. Chem. Phys. 78, 7375 (1983).
9. H. A. Kramers, Physica (Amsterdam) 7, 284 (1940).
10. P. Hänggi, P. Talkner, and M. Borkovec, Rev. Mod. Phys. 62, 251 (1990).
11. B. M. Hoffman and M. A. Ratner, J. Am. Chem. Soc. 109, 6237 (1987).
12. J. H. Gehlen, M. Marchi, and D. Chandler, Science 263, 499 (1994).
13. M. S. Graige, G. Feher, and M. Y. Okamura, Proc. Natl. Acad. Sci. U.S.A. 95, 11679 (1998).
14. I. A. Goychuk, E. G. Petrov, and V. May, J. Chem. Phys. 0021-9606 10.1063/1.470630 103, 4937 (1995); I. A. Goychuk, E. G. Petrov, and V. May, Phys. Rev. E 52, 2392 (1995).
15. I. A. Goychuk, E. G. Petrov, and V. May, J. Chem. Phys. 0021-9606 10.1063/1.470630 103, 4937 (1995); I. A. Goychuk, E. G. Petrov, and V. May, Phys. Rev. E 52, 2392 (1995).
16. H. Frauenfelder, S. G. Sligar, and P. G. Wolynes, Science 254, 1598 (1991).
17. R. Metzler, J. Klafter, and J. Jortner, Proc. Natl. Acad. Sci. U.S.A. 96, 11085 (1999).
18. J. Wang and P. Wolynes, Phys. Rev. Lett. 74, 4317 (1995).
19. G. K. Schenter, H. P. Lu, and X. S. Xie, J. Phys. Chem. A 1089-5639 10.1021/jp992324j 103, 10477 (1999); X. S. Xie, J. Chem. Phys. 117, 11024 (2002).
20. G. K. Schenter, H. P. Lu, and X. S. Xie, J. Phys. Chem. A 1089-5639 10.1021/jp992324j 103, 10477 (1999); X. S. Xie, J. Chem. Phys. 117, 11024 (2002).
21. A. M. Berezhkovskii, A. Szabo, and G. H. Weiss, J. Chem. Phys. 110, 9145 (1999).
22. D. R. Cox, Renewal Theory (Methuen, London, 1962).
23. E. W. Montroll and G. H. Weiss, J. Math. Phys. 6, 167 (1965).
24. B. D. Hughes, Random Walks and Random Environments, Random Walks Vol. 1 (Clarendon, Oxford, 1995).
25. N. G. van Kampen, Physica A 96, 435 (1979).
26. P. Chvosta and P. Reineker, Physica A 268, 103 (1999).
27. J. K. E. Tunaley, Phys. Rev. Lett. 33, 1037 (1974).
28. A. I. Burshtein, A. A. Zharikov, and S. I. Temkin, Theor. Math. Phys. 66, 166 (1986).
29. I. Goychuk, Phys. Rev. E 70, 016109 (2004).
30. R. Kubo, in Fluctuation, Relaxation, and Resonance in Magnetic Systems, edited by, D. ter Haar, (Oliver and Boyd, Edinburgh, 1962).
31. G. A. Korn and T. M. Korn, Mathematical Handbook for Scientists and Engineers (Dover, New York, 2000).
32. H. Stehfest, Commun. ACM 0001-0782 10.1145/361953.361969 13, 47 (1970); H. Stehfest, Commun. ACM 13, 624 (1970).
33. H. Stehfest, Commun. ACM 0001-0782 10.1145/361953.361969 13, 47 (1970); H. Stehfest, Commun. ACM 13, 624 (1970).
34. Y. Jung, E. Barkai, and R. J. Silbey, Chem. Phys. 284, 181 (2002).
35. N. G. van Kampen, Stochastic Processes in Physics and Chemistry, Revised and Enlarged Edition (North-Holland, Amsterdam, 1992).
36. J. A. McCammon and S. N. Northrup, Nature (London) 0028-0836 239, 316 (1981); A. Szabo, D. Shoup, S. N. Northrup, and J. A. McCammon, J. Chem. Phys. 77, 4484 (1982).
37. J. A. McCammon and S. N. Northrup, Nature (London) 0028-0836 239, 316 (1981); A. Szabo, D. Shoup, S. N. Northrup, and J. A. McCammon, J. Chem. Phys. 77, 4484 (1982).
38. I. Goychuk and P. Hänggi, Proc. Natl. Acad. Sci. U.S.A. 99, 3552 (2002).
39. I. Goychuk and P. Hänggi, Phys. Rev. E 70, 051915 (2004).
40. P. P. Valko and S. Vajda, Inverse Probl. Eng. 10, 467 (2002).
41. I. Goychuk and P. Hänggi, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.91.070601 91, 070601 (2003); I. Goychuk and P. Hänggi, Phys. Rev. E 69, 021104 (2004).
42. I. Goychuk and P. Hänggi, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.91.070601 91, 070601 (2003); I. Goychuk and P. Hänggi, Phys. Rev. E 69, 021104 (2004).
43. R. L. Stratonovich, Topics in the Theory of Random Noise I (Gordon and Breach, New York, 1963), p. 176.
44. W. H. Press, B. P. Flannery, S. A. Teukolsky, and W. T. Vetterling, Numerical Recipes in Fortran: The Art of Scientific Computing, 2nd ed. (Cambridge University Press, Cambridge, 1992).
45. D. T. Gillespie, J. Phys. Chem. 81, 2341 (1977).
46. R. Metzler and J. Klafter, Phys. Rep. 339, 1 (2000).
47. I. M. Sokolov, J. Klafter, and A. Blumen, Phys. Today 55 (11), 48 (2002).
48. G. L. Millhauser, E. E. Salpeter, and R. E. Oswald, Proc. Natl. Acad. Sci. U.S.A. 85, 1503 (1988).