Control of long-range electron transfer in dynamically disordered molecular systems by an external periodic field

Journal of Chemical Physics

Volumn 106, Issue 11, 1997, Pages 4522-4530

  Goychuk, I A ^a   Petrov, E G ^a   May, V ^b  

^a BOGOLYUBOV INSTITUTE FOR THEORETICAL PHYSICS   (Ukraine)

^b HUMBOLDT UNIVERSITY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001616833     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.473495     Document Type: Article

References (78)

1. J. Ulstrup, Charge Transfer Processes in Condensed Media (Springer, Berlin, 1979).
2. J. J. Hopfield, Proc. Natl. Acad. Sci. USA 71, 3640 (1974).
3. N. R. Kestner, J. Logan, and J. Jortner, J. Phys. Chem. 78, 2148 (1974); J. Jortner, J. Chem. Phys. 64, 4860 (1976).
4. N. R. Kestner, J. Logan, and J. Jortner, J. Phys. Chem. 78, 2148 (1974); J. Jortner, J. Chem. Phys. 64, 4860 (1976).
5. M. D. Newton and N. Sutin, Annu. Rev. Phys. Chem. 35, 437 (1984).
6. R. A. Marcus and N. Sutin, Biochim. Biophys. Acta 811, 265 (1985).
7. K. V. Mikkelsen and M. A. Ratner, Chem. Rev. 87, 113 (1987).
8. J. Jortner and B. Pulmann, in Tunneling (Reidel, Dordrecht, 1986).
9. J. R. Bolton, N. Mataga, and G. McLendon, in Electron Transfer in Inorganic, Organic, and Biological Systems, Advances in Chemistry 228 (American Chemical Society, Washington, DC, 1991).
10. D. De Vault, Quantum Mechanical Tunneling in Biological Systems, 2nd ed. (Cambridge University, New York, 1984).
11. Long-range Electron Transfer in Biology, edited by G. Palmer (Springer, Berlin, 1991).
12. E. G. Petrov, Physics of Charge Transfer in Biosystems (Naukova Dumka, Kiev, 1984) (in Russian).
13. A. Garg, J. N. Onuchic, and V. Ambegaokar, J. Chem. Phys. 83, 4491 (1985).
14. J. N. Onuchic, D. N. Beratan, and J. J. Hopfield, J. Phys. Chem. 90, 3707 (1986).
15. V. N. Kharkyanen, E. G. Petrov, and I. I. Ukrainskii, J. Theor. Biol. 73, 29 (1978).
16. S. Larsson, J. Chem. Soc. Faraday Trans. 2 79, 1375 (1983).
17. J. N. Onuchic and A. A. S. da Gama, Theor. Chim. Acta 69, 89 (1986).
18. D. N. Beratan, J. N. Onuchic, and J. J. Hopfield, J. Chem. Phys. 86, 4488 (1987).
19. H. McConnell, J. Chem. Phys. 35, 508 (1961).
20. M. Sparpaglione and S. Mukamel, J. Chem. Phys. 88, 3263 (1988).
21. N. G. Van Kampen, Stochastic Processes in Physics and Chemistry (North-Holland, Amsterdam, 1984).
22. R. Zwanzig, Acc. Chem. Res. 23, 148 (1990).
23. N. Agmon and J. J. Hopfield, J. Chem. Phys. 78, 6947 (1983).
24. H. Sumi and R. A. Marcus, J. Chem. Phys. 84, 4849 (1986); W. Nadler and R. A. Marcus, J. Chem. Phys. 86, 3906 (1987).
25. H. Sumi and R. A. Marcus, J. Chem. Phys. 84, 4849 (1986); W. Nadler and R. A. Marcus, J. Chem. Phys. 86, 3906 (1987).
26. K. V. Shaitan and A. B. Rubin, Mol. Biol. 16, 1004 (1982) (in Russian).
27. J. H. Gehlen, M. Marchi, and D. Chandler, Science 263, 499 (1994).
28. B. S. Brunschwig and N. Sutin, J. Am. Chem. Soc. 111, 7454 (1987).
29. B. M. Hoffman and M. R. Ratner, J. Am. Chem. Soc. 109, 6237 (1987).
30. B. Bagchi and G. R. Fleming, J. Phys. Chem. 94, 9 (1990); S. Roy and B. Bagchi, J. Chem. Phys. 100, 8802 (1994).
31. B. Bagchi and G. R. Fleming, J. Phys. Chem. 94, 9 (1990); S. Roy and B. Bagchi, J. Chem. Phys. 100, 8802 (1994).
32. H. Fraunfelder, F. Parak, and R. D. Young, Annu. Rev. Biophys. Biophys. Chem. 17, 451 (1988).
33. T. G. Dewey, Chem. Phys. 161, 339 (1992); D. Spencer and T. G. Dewey, Comments Cell. Mol. Biophys. 3, 155 (1991); T. G. Dewey, Proc. Natl. Acad. Sci. USA 91, 12101 (1994).
34. T. G. Dewey, Chem. Phys. 161, 339 (1992); D. Spencer and T. G. Dewey, Comments Cell. Mol. Biophys. 3, 155 (1991); T. G. Dewey, Proc. Natl. Acad. Sci. USA 91, 12101 (1994).
35. T. G. Dewey, Chem. Phys. 161, 339 (1992); D. Spencer and T. G. Dewey, Comments Cell. Mol. Biophys. 3, 155 (1991); T. G. Dewey, Proc. Natl. Acad. Sci. USA 91, 12101 (1994).
36. I. A. Goychuk, E. G. Petrov, and V. May, J. Chem. Phys. 103, 4937 (1995).
37. I. A. Goychuk, E. G. Petrov, and V. May, Phys. Rev. E 52 2392 (1995).
38. E. G. Petrov, Teor. Mat. Fiz. 68, 117 (1986) (in Russian); E. G. Petrov and V. I. Teslenko, Theor. Math. Phys. 84, 986 (1990); V. G. Bar'yakhtar and E. G. Petrov, Kinetic Phenomena in Solids (Naukova Dumka, Kiev, 1989) (in Russian).
39. E. G. Petrov, Teor. Mat. Fiz. 68, 117 (1986) (in Russian); E. G. Petrov and V. I. Teslenko, Theor. Math. Phys. 84, 986 (1990); V. G. Bar'yakhtar and E. G. Petrov, Kinetic Phenomena in Solids (Naukova Dumka, Kiev, 1989) (in Russian).
40. E. G. Petrov, Teor. Mat. Fiz. 68, 117 (1986) (in Russian); E. G. Petrov and V. I. Teslenko, Theor. Math. Phys. 84, 986 (1990); V. G. Bar'yakhtar and E. G. Petrov, Kinetic Phenomena in Solids (Naukova Dumka, Kiev, 1989) (in Russian).
41. E. G. Petrov, V. I. Teslenko, and I. A. Goychuk, Phys. Rev. E 49, 3894 (1994).
42. A similar problem was first raised in the area of spin resonance and relaxation [see, e.g., P. N. Argyres and P. L. Kelley, Phys. Rev. 134, A98 (1964), and the references therein]. Argyres and Kelley were apparently the first who derived the respective generalized master equation to describe the relaxation of a spin 1/2 (or two-level system) weakly coupled to a thermal bath but with an exact inclusion of the external field. Recently this problem gained again much interest in the general context of charge transfer reactions in condensed media (see, for example, Refs. 33,34).
43. M. Grifoni, M. Sassetti, J. Stockburger, and U. Weiss, Phys. Rev. E 48, 3497 (1993).
44. Yu. Dakhnovski, Ann. Phys. NY 230, 145 (1994); Yu. Dakhnovskii, Phys. Rev. B 49, 4649 (1994).
45. Yu. Dakhnovski, Ann. Phys. NY 230, 145 (1994); Yu. Dakhnovskii, Phys. Rev. B 49, 4649 (1994).
46. M. Morillo and R. I. Cukier, J. Chem. Phys. 98, 4548 (1993).
47. Yu. Dakhnovskii, J. Chem. Phys. 100, 6492 (1994).
48. Yu. Dakhnovskii and R. D. Coalson, J. Chem. Phys. 103, 2908 (1995); Yu. Dakhnovskii, D. G. Evans, H. J. Kim, and R. D. Coalson, ibid. 103, 5459 (1995).
49. Yu. Dakhnovskii and R. D. Coalson, J. Chem. Phys. 103, 2908 (1995); Yu. Dakhnovskii, D. G. Evans, H. J. Kim, and R. D. Coalson, ibid. 103, 5459 (1995).
50. M. Grifoni, M. Sassetti, P. Hänggi, and U. Weiss, Phys. Rev. E 52, 3596 (1995); M. Grifoni, M. Sassetti, and U. Weiss, ibid. 53, 2033 (1996).
51. M. Grifoni, M. Sassetti, P. Hänggi, and U. Weiss, Phys. Rev. E 52, 3596 (1995); M. Grifoni, M. Sassetti, and U. Weiss, ibid. 53, 2033 (1996).
52. I. A. Goychuk, E. G. Petrov, and V. May, Chem. Phys. Lett. 253, 428 (1996).
53. R. F. Goldstein and W. Bialek, Comments Mol. Cell. Biophys. 3, 407 (1986); J. A. McCammon, Rep. Prog. Phys. 47, 1 (1984).
54. R. F. Goldstein and W. Bialek, Comments Mol. Cell. Biophys. 3, 407 (1986); J. A. McCammon, Rep. Prog. Phys. 47, 1 (1984).
55. R. C. Bourret, U. Frisch, and A. Pouquet, Physica 65, 303 (1973).
56. 25 (see also Refs. 26,27).
57. T. Holstein, Ann. Phys. NY 8, 343 (1959).
58. R. W. Munn and R. Silbey, J. Chem. Phys. 83, 1843 (1985).
59. T.-M. Wu, D. W. Brown, and K. Lindenberg, Chem. Phys. 146, 445 (1990).
60. A. J. Leggett, S. Chakravarty, A. Dorsey, M. P. A. Fisher, A. Garg, and W. Zwerger, Rev. Mod. Phys. 59, 1 (1987).
61. U. Weiss, Quantum Dissipative Systems, Series in Modern Condensed Matter Physics (World Scientific, Singapore, 1993). Vol. 2.
62. M. Grifoni, Phys. Rev. E 54, R3086 (1996).
63. 20,23,28 see also H. L. Friedman and M. D. Newton, Faraday Discuss. Chem. Soc. 74, 73 (1982); D. Y. Yang, J. Stat. Phys. 74, 631 (1994).
64. 20,23,28 see also H. L. Friedman and M. D. Newton, Faraday Discuss. Chem. Soc. 74, 73 (1982); D. Y. Yang, J. Stat. Phys. 74, 631 (1994).
65. J. A. McCammon and S. H. Northrup, Nature 239, 316 (1981); S. H. Northrup, F. Zarrin, and J. A. McCammon, J. Phys. Chem. 86, 2314 (1982); A. Szabo, D. Shoup, S. H. Northrup, and J. A. McCammon, J. Chem. Phys. 77, 4484 (1982).
66. J. A. McCammon and S. H. Northrup, Nature 239, 316 (1981); S. H. Northrup, F. Zarrin, and J. A. McCammon, J. Phys. Chem. 86, 2314 (1982); A. Szabo, D. Shoup, S. H. Northrup, and J. A. McCammon, J. Chem. Phys. 77, 4484 (1982).
67. J. A. McCammon and S. H. Northrup, Nature 239, 316 (1981); S. H. Northrup, F. Zarrin, and J. A. McCammon, J. Phys. Chem. 86, 2314 (1982); A. Szabo, D. Shoup, S. H. Northrup, and J. A. McCammon, J. Chem. Phys. 77, 4484 (1982).
68. J. N. Onuchic, J. Chem. Phys. 86, 3925 (1987); R. F. Goldstein and A. Bearden, Proc. Natl. Acad. Sci. USA 81, 135 (1984).
69. J. N. Onuchic, J. Chem. Phys. 86, 3925 (1987); R. F. Goldstein and A. Bearden, Proc. Natl. Acad. Sci. USA 81, 135 (1984).
70. D. De Vault and B. Chance, Biophys. J. 6, 825 (1966); D. De Vault, J. H. Parkes, and B. Chance, Nature (London) 216, 642 (1967).
71. D. De Vault and B. Chance, Biophys. J. 6, 825 (1966); D. De Vault, J. H. Parkes, and B. Chance, Nature (London) 216, 642 (1967).
72. K. Lindenberg and B. J. West, The Nonequilibrium Statistical Mechanics of Open and Closed Systems (VCH, New York, 1990).
73. E. G. Petrov, I. A. Goychuk, and V. May, Phys. Rev. E 54, 4726 (1996).
74. R. A. Marcus, J. Chem. Phys. 24, 966,979 (1956); N. S. Hush, ibid. 28, 964 (1958); V. G. Levich and R. R. Dogonadze, Dokl. Acad. Nauk SSSR 124, 123 (1959) [Proc. Acad. Sci. Phys. Chem. Sect. 124, 9 (1959)].
75. R. A. Marcus, J. Chem. Phys. 24, 966,979 (1956); N. S. Hush, ibid. 28, 964 (1958); V. G. Levich and R. R. Dogonadze, Dokl. Acad. Nauk SSSR 124, 123 (1959) [Proc. Acad. Sci. Phys. Chem. Sect. 124, 9 (1959)].
76. R. A. Marcus, J. Chem. Phys. 24, 966,979 (1956); N. S. Hush, ibid. 28, 964 (1958); V. G. Levich and R. R. Dogonadze, Dokl. Acad. Nauk SSSR 124, 123 (1959) [Proc. Acad. Sci. Phys. Chem. Sect. 124, 9 (1959)].
77. R. A. Marcus, J. Chem. Phys. 24, 966,979 (1956); N. S. Hush, ibid. 28, 964 (1958); V. G. Levich and R. R. Dogonadze, Dokl. Acad. Nauk SSSR 124, 123 (1959) [Proc. Acad. Sci. Phys. Chem. Sect. 124, 9 (1959)].
78. V. E. Shapiro and V. M. Loginov, Physica A 91, 563 (1978).