A. Plonka, EFFECTS OF SOLVENT DYNAMICS ON FAST REACTION PATTERNS IN FLUIDS, Journal de chimie physique et de physico-chimie biologique, 93(10), 1996, pp. 1900-1914
The effects of solvent dynamics on fast reaction patterns in fluids ar
e discussed in terms of the stochastic renewal theory with a fractal s
et of renewal moments which results from the use of Kohlrausch (1863)
function to describe the structural relaxations in the reaction system
. The dispersive patterns of reaction kinetics are evident when the ti
me scale of reaction, zeta, approaches that of structural relaxations,
tau. In the limit zeta << tau, corresponding to suppressed internal r
earrangements in reaction system for ultrafast reactions, the reaction
patterns are ''solid-like'', or dispersive, following from modelling
of kinetics in statically disordered systems. When the time scale of r
eaction is long compared to that of relaxation, zeta >> tau, the class
ical patterns of reaction kinetics, ''liquid-like'', are shown to be v
alid. However, for fast reactions of highly reactive species, i.e. for
those with local reaction probability (when two reactants collide) P
--> 1, the reaction rate constant, k, depends on tau as k similar to t
au(alpha-1) where 0 < alpha < 1 is the dispersion parameter used in re
action modelling in the statically disordered system. If relaxations i
n reaction system are driven and/or damped solely by thermal motions o
f solvent molecules through friction, tau similar to eta, one has the
viscosity dependence of the rate constant k similar to eta(-alpha) for
a = alpha-1. Only for low local reaction probability one recovers k =
const. following from the usual theories of reaction kinetics.