Over the past two decades, the necessity for predictive
models
of chemical kinetics on catalytic surfaces has motivated the development
of ab initio kinetic Monte Carlo (KMC) simulation frameworks. These
frameworks have been successfully used to investigate chemistries
of academic interest and industrial importance, such as CO oxidation,
NO oxidation and reduction, ethylene hydrogenation, CO hydrogenation
to ethanol, and water-gas shift. These studies have shed light on
the effect of catalyst composition, surface structure, lateral interactions,
and operating conditions on the apparent turnover frequency of the
chemistries of interest. Yet, extending the existing KMC approaches
to study large chemistries on complex catalytic structures poses several
challenges. In this review, we discuss the recent milestones in the
area of KMC simulation of chemical kinetics on catalytic surfaces
and review a number of studies that have furthered our fundamental
understanding of specific chemistries. In addition, we provide directions
for future research aiming toward incorporating detailed physics and
chemistry, as well as assessing and improving the accuracy of KMC
methods, toward developing quantitative models of surface kinetics.