A first approach to reaction kinetics in large molecules

Physica D: Nonlinear Phenomena

Volumn 113, Issue 2-4, 1998, Pages 297-306

  Farago, Jean ^a   Peyrard, Michel ^a  

^a UNIVERSITÉ DE LYON   (France)

Author keywords

Escape problem; Generalized Langevin equation; Reaction kinetics

Indexed keywords

EID: 20744434301     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-2789(97)00282-0     Document Type: Article

References (20)

1. H. Frauenfelder, P.G. Wolynes, Rate theories and puzzles of hemeprotein kinetics, Science 229 (1985) 337-344;
2. H. Frauenfelder, G.U. Nienhaus, J.B. Johnson, Rate processes in proteins, Ber. Bunsenges. Phys. Chem. 95 (1991) 272-278.
3. M.J. Pilling, P.W. Seakins, Reaction Kinetics, Oxford University Press, Oxford, 1995.
4. H.A. Kramers, Brownian motion in a field of force and the diffusion model of chemical reactions, Physica (Utrecht) VII (1940) 284-304.
5. R.F. Grote, J.T. Hynes, The stable states picture of chemical reactions. II. Rate constants for condensed phase and gas phase reaction models, J. Chem. Phys. 73 (1980) 2715-2732.
6. E. Pollak, Variational transition state theory for dissipative systems, in: G.R. Flemming, P. Hänggi (Eds.), Activated Barrier Crossing, World Scientific, Singapore, 1993.
7. P. Hänggi, P. Talkner, M. Borkovec, Reaction-rate theory: fifty years after Kramers, Rev. Mod. Phys. 62 (1990) 251-341.
8. W. Forst, Theory of Unimolecular Reactions, Academic Press, New York, 1973.
9. T. Dauxois, M. Peyrard, A.R. Bishop, Dynamics and thermodynamics of a nonlinear model for DNA denaturation, Phys. Rev. E 47 (1993) 684-695.
10. O. Bang, M. Peyrard, Generation of high energy localized vibrational modes in nonlinear Klein-Gordon lattices. Phys. Rev. E 53 (1996) 4143-4152.
11. K. Forinash, T. Cretegny, M. Peyrard, Local modes and localization in a multi-component nonlinear lattice, Phys. Rev. E 55 (1997) 4740-4756.
12. E. Pollak, H. Grabert, P. Hänggi, Theory of activated rate processes for arbitrary frequency dependent friction: Solution of the turnover problem, J. Chem. Phys. 91 (1989) 4073-4087.
13. S.K. Reese, S.C. Tucker, Solvent-solute reaction path curvature effects on energy transfer corrections to the solute reaction rate, J. Chem. Phys. 105 (1996) 2263-2279.
14. N2 reactions in water, J. Chem. Phys. 90 (1989) 3537-3558.
15. I. Benjamin, L.L. Lee, Y.S. Li, A. Liu, K.R. Wilson, Generalized Langevin model for molecular dynamics of an activated reaction in solution. Chem. Phys. 152 (1991) 1-12.
16. A.M. Frishman, E. Pollak, Memory and temperature induced suppression of activated rate processes. J. Chem. Phys. 98 (1993) 9532-9543.
17. M.P. Allen, D.J. Tildesley, Computer Simulations of Liquids, Oxford University Press, Oxford, 1989, p. 263.
18. P. Hänggi, P. Jung, C. Zerbe, F. Moss, Can colored noise improve stochastic resonance? J. Stat. Phys. 70 (1993) 25-47; and references therein.
19. J.E. Straub, M. Borkovec, B.J. Berne, Shortcomings of current theories of non-Markovian activated rate, J. Chem. Phys. 83 (1985) 3172-3174;
20. non-Markovian rate processes: comparison of current theories with numerical simulation data, J. Chem. Phys. 84 (1986) 1788-1794.