THE STEADY-STATE GREENS-FUNCTION THEORY IN MONOMOLECULAR REACTIONS - II - EFFECTS OF SOLVENT DYNAMICS AND NONEQUILIBRIUM INITIAL DISTRIBUTIONS IN REACTIONS ON POSITION-DEPENDENT TRANSITION REGIONS
Ob. Jenkins et Ab. Doktorov, THE STEADY-STATE GREENS-FUNCTION THEORY IN MONOMOLECULAR REACTIONS - II - EFFECTS OF SOLVENT DYNAMICS AND NONEQUILIBRIUM INITIAL DISTRIBUTIONS IN REACTIONS ON POSITION-DEPENDENT TRANSITION REGIONS, Chemical physics, 234(1-3), 1998, pp. 121-151
New theoretical methods are developed to analyze dynamical effects on
the position-dependent, non-localized reaction transitions. Both time-
dependent kinetics and average survival times are evaluated. Predicate
d on the steady-state Green's function formalism introduced in Part I
(Spirina and Doktorov, Chem. Phys., 203 (1995) 117), a consistent deco
upling series approximation is introduced for the solution of dynamic
equations. The conditions of its applicability are thoroughly analyzed
. The approximation works well in the case of moderately narrow transi
tion regions with weak-to-moderate electronic coupling. To compliment
the decoupling procedure, the absorbing boundary approximation is intr
oduced to cover the case of wider transition regions with strong elect
ronic coupling. It is demonstrated that in the latter case, slow dynam
ics assure formation of the absorbing walls emerging from the center o
f the transition regions. Both methods require only straightforward ev
aluations as they successfully separate the surface dynamics from the
reactive transitions. We present a consistent analysis of the major qu
alitative changes in the reaction rates induced by widening reaction r
egions. Special attention is paid to dynamic effects in reactions init
iated by non-equilibrium distributions. A simple model for the descrip
tion of dynamically smeared transition regions is also suggested and t
ested. (C) 1998 Elsevier Science B.V. All rights reserved.