Agmon-Hopfield kinetics in the slow diffusion regime

Journal of Chemical Physics

Volumn 107, Issue 7, 1997, Pages 2444-2450

  Pechukas, Philip ^a   Ankerhold, Joachim ^a  

^a Och Spine at New York Presbyterian Hospitals   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001503755     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.474625     Document Type: Article

References (10)

1. N. Agmon and J. J. Hopfield, J. Chem. Phys. 78, 6947 (1983).
2. H. Sumi and R. A. Marcus, J. Chem. Phys. 84, 4894 (1986).
3. R. Zwanzig, Acc. Chem. Res. 23, 148 (1990).
4. Provided of course that U(x) increases sufficiently rapidly as x→±∞ that the spectrum of this operator is discrete; faster than |x| will do. (See Ref. 1.)
5. See also the recent discussions of CO rebinding kinetics in myoglobin by N. Agmon, W. Doster, and F. Post, Biophys. J. 66, 1612 (1994) and by Yu. A. Berlin, S. F. Fischer, N. I. Chekunaev, and V. I. Goldanskii, Chem. Phys. 200, 369 (1995). These papers discuss a transition from multiexponential to single-exponential decay under conditions that are essentially the opposite of the conditions we assume here: the initial x distribution is nonequilibrium; D is so large that the distribution then relaxes to equilibrium by diffusion alone, without significant distortion by the rate constant function k(x).
6. See also the recent discussions of CO rebinding kinetics in myoglobin by N. Agmon, W. Doster, and F. Post, Biophys. J. 66, 1612 (1994) and by Yu. A. Berlin, S. F. Fischer, N. I. Chekunaev, and V. I. Goldanskii, Chem. Phys. 200, 369 (1995). These papers discuss a transition from multiexponential to single-exponential decay under conditions that are essentially the opposite of the conditions we assume here: the initial x distribution is nonequilibrium; D is so large that the distribution then relaxes to equilibrium by diffusion alone, without significant distortion by the rate constant function k(x).
7. S. Rabinovich and N. Agmon, Chem. Phys. 148, 11 (1990).
8. M. Gitterman and G. H. Weiss, Chem. Phys. 180, 319 (1994).
9. N. Agmon and S. Rabinovich, J. Chem. Phys. 97, 7270 (1992).
10. M. V. Basilevsky and G. V. Davidovitch, J. Chem. Phys. 102, 1607 (1995).