A Brownian simulation of a microscopic pseudo-unimolecular reversible
reaction in one-dimension is reported over a huge time range for varyi
ng values of the dissociation parameter. The simulation shows how the
time behavior of the approach to equilibrium of the binding probabilit
y, which is predominantly power-law for ultrafast dissociation, change
s to a faster decay law as dissociation slows down. In terms of the me
an-field approximations which are compared with the simulations, the u
ltrafast dissociation limit is characterized as ''superposition domina
ted'' whereas the ulraslow limit is ''convolution dominated''.