Activated rate processes in many dimensions: Energy diffusion with slow adjustment of a nonreactive mode

Physica A: Statistical Mechanics and its Applications

Volumn 251, Issue 3-4, 1998, Pages 399-429

  Berezhkovskii, A M ^a,b   Zitserman, V Yu ^a,c   Yang, D Y ^a   Kuo, J ^d   Lin, S H ^a,d,e  

^a INSTITUTE OF ATOMIC AND MOLECULAR SCIENCES   (Taiwan)

^b KARPOV INSTITUTE OF PHYSICAL CHEMISTRY   (Russian Federation)

^c JOINT INSTITUTE FOR HIGH TEMPERATURES   (Russian Federation)

^d NATIONAL TAIWAN UNIVERSITY   (Taiwan)

^e ARIZONA STATE UNIVERSITY   (United States)

Author keywords

Activated rate processes; Energy diffusion; Multidimensional kramers problem; Slow adjustment

Indexed keywords

DIFFUSION IN SOLIDS; NUMERICAL ANALYSIS; REACTION KINETICS;

ACTIVATED RATE PROCESSES; ENERGY DIFFUSION; MULTIDIMENSIONAL KRAMERS PROBLEM;

CHEMICAL ACTIVATION;

EID: 0032028196     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-4371(97)00565-7     Document Type: Article

References (52)

1. H. Kramers, Physica 7 (1940) 284.
2. J. Zhu, O.B. Spirina, R.I. Cukier, J. Chem. Phys. 100 (1994) 8109.
3. O.B. Spirina, R.I. Cukier, J. Chem. Phys. 104 (1996) 538.
4. N. Agmon, J.J. Hopfield, J. Chem. Phys. 78 (1983) 6947; 79 (1983) 2042; 80 (1984) 592.
5. N. Agmon, J.J. Hopfield, J. Chem. Phys. 78 (1983) 6947; 79 (1983) 2042; 80 (1984) 592.
6. N. Agmon, J.J. Hopfield, J. Chem. Phys. 78 (1983) 6947; 79 (1983) 2042; 80 (1984) 592.
7. H. Frauenfelder, K. Chu, G.U. Nienhaus, R.D. Young, in: G.F. Fleming, P. Hänggi (Eds.), Activated Barrier Crossing, World Scientific, Singapore, 1993, p. 120.
8. O. Schaad, H.-X. Zhou, A. Szabo, W.A. Eaton, E.R. Henry, Proc. Natl. Acad. Sci. USA 90 (1993) 9547.
9. E. Lippert, W. Rettig, V. Bonacic-Koutecky, F. Heisel, J.A. Miehe, Adv. Chem. Phys. 68 (1987) 1.
10. P.L. Nordio, A. Polimeno, Int. J. Quant. Chem. 60 (1996) 321.
11. H. Sumi, J. Phys. Chem. 95 (1991) 3334.
12. D.H. Waldeck, J. Mol. Liquids 57 (1993) 127.
13. D. Raftery, R.J. Sension, R.M. Hochstrasser, in: G.R. Fleming, P. Hänggi (Eds.), Activated Barrier Crossing, World Scientific, Singapore, 1993, p. 163.
14. A. Nitzan, Z. Schuss, in: G.R. Fleming, P. Hänggi (Eds.), Activated Barrier Crossing, World Scientific, Singapore, 1993, p. 42.
15. P. Hänggi, P. Talkner, M. Borkovec, Rev. Mod. Phys. 62 (1990) 251.
16. B.J. Matkowsky, Z. Schuss, E. Ben-Jacob, SIAM J. Appl. Math. 42 (1982) 835.
17. M. Borkovec, B.J. Berne, J. Chem. Phys. 82 (1985) 1614; 86 (1987) 2444.
18. M. Borkovec, B.J. Berne, J. Chem. Phys. 82 (1985) 1614; 86 (1987) 2444.
19. A. Nitzan, J. Chem. Phys. 82 (1985) 1614; 86 (1987) 2734.
20. A. Nitzan, J. Chem. Phys. 82 (1985) 1614; 86 (1987) 2734.
21. A.G. Zawadski, J.T. Hynes, Chem. Phys. Lett. 113 (1985) 476.
22. J.S. Langer, Ann. Phys. 54 (1969) 258.
23. A.M. Berezhkovskii, V.Yu. Zitserman, Physica A 166 (1990) 585.
24. A.M. Berezhkovskii, V.Yu. Zitserman, Chem. Phys. 157 (1991) 141.
25. A.M. Berezhkovskii, V.Yu. Zitserman, J. Phys. A 25 (1992) 2077.
26. A.M. Berezhkovskii, V.Yu. Zitserman, Physica A 187 (1992) 519.
27. A.M. Berezhkovskii, E. Pollak, V.Yu. Zitserman, J. Chem. Phys. 97 (1992) 2422.
28. A.M. Berezhkovskii, A.M. Frishman, E. Pollak, J. Chem. Phys. 101 (1994) 4778.
29. A.M. Berezhkovskii, V.Yu. Zitserman, A. Polimeno, J. Chem. Phys. 105 (1995) 6342.
30. E. Pollak, E. Hershkowitz, Chem. Phys. 180 (1994) 191; E. Hershkowitz, E. Pollak, J. Chem. Phys. 106 (1997) 7678.
31. E. Pollak, E. Hershkowitz, Chem. Phys. 180 (1994) 191; E. Hershkowitz, E. Pollak, J. Chem. Phys. 106 (1997) 7678.
32. M. Ferrario, P. Grigolini, J. Math. Phys. 20 (1979) 2567.
33. C.W. Gardiner, Handbook of Stochastic Methods, Springer, Berlin, 1985.
34. H. Risken, The Fokker-Planck Equation, Springer, Berlin, 1984.
35. P. Hänggi, J. Stat. Phys. 42 (1986) 105; 44 (1986) 1003.
36. P. Hänggi, J. Stat. Phys. 42 (1986) 105; 44 (1986) 1003.
37. M. Abramowitz, I.A. Stegun, Handbook of Mathematical Functions, National Bureau of Standards, Washington, 1966.
38. J.E. Straub, M. Borkovec, B.J. Berne, J. Chem. Phys. 83 (1985) 3172; 84 (1986) 1788.
39. J.E. Straub, M. Borkovec, B.J. Berne, J. Chem. Phys. 83 (1985) 3172; 84 (1986) 1788.
40. R. Zwanzig, J. Chem. Phys. 86 (1987) 5801.
41. H.B. Braun, Diploma thesis, Besel, August 1986.
42. P. Talkner, H.B. Braun, J. Chem. Phys. 88 (1988) 7537.
43. E. Pollak, H. Grabert, P. Hänggi, J. Chem. Phys. 91 (1989) 4073.
44. R. Zwanzig, J. Stat. Phys. 9 (1973) 215.
45. R.F. Grote, J.T. Hynes, J. Chem. Phys. 73 (1980) 2715.
46. P. Hänggi, F. Mojtabai, Phys. Rev. A 26 (1982) 1168.
47. E. Guardia, F. Marchesoni, M. San Miguel, Phys. Lett. A 100 (1984) 15.
48. S.C. Tucker, J. Chem. Phys. 101 (1994) 2006.
49. S.K. Reese, S.C. Tucker, G.K. Schenter, J. Chem. Phys. 102 (1995) 104.
50. S.K. Reese, S.C. Tucker, J. Chem. Phys. 105 (1996) 2263.
51. A.N. Drozdov, P. Talkner, J. Chem. Phys. 105 (1996) 4117.
52. A.N. Drozdov, P. Talkner, Phys. Rev. E 54 (1996) 6160.