  As part of a systematic study on the kinetic compensation effect, we use
kinetic Monte Carlo simulations to observe the effects of substrate topology on
the transient variations in the Arrhenius parameters - effective activation
energy $E_{a}$, and preexponential factor $\nu$ - during thermal desorption,
with a particular focus on differences between ordered and disordered surfaces
at a fixed global coordination number. The rates of desorption depend on
surface configuration due to the inherent differences in the local environments
of adsorbing sites in the two cases. While the compensation effect persists for
the disordered substrate, the change in topology introduces an element that
produces variations in $\nu$ that are independent of variations in $E_{a}$,
which implies that the parameters cannot be fully characterized as functions of
each other. We expect our results to provide a deeper insight into the
microscopic events that originate compensation effects in our system of study
but also in other fields where these effects have been reported.
