Bridging the Gap between the Ultrafast and the Ultraslow
Arieh L. Edelstein and Noam Agmon
A Brownian simulation of a microscopic pseudo-unimolecular reversible reaction
in one-dimension is reported over a huge time range for varying values of
the dissociation parameter. The simulation shows how the time behavior of the
approach to equilibrium of the binding probability,
which is predominantly power-law for ultrafast dissociation,
changes to a faster decay law as dissociation slows down.
In terms of the mean-field approximations which are compared with the
simulations, the ultrafast dissociation limit is characterized as
``superposition dominated'' whereas the ulraslow limit is ``convolution
dominated''.
