  In this thesis we present a kinetic Monte Carlo model for the description of
epitaxial graphene growth. Experimental results suggest a growth mechanism by
which clusters of 5 carbon atoms are an intermediate species necessary for
nucleation and island growth. This model is proposed by experimentally studying
the velocity of growth of islands which is a highly nonlinear function of
adatom concentration. In our simulation we incorporate this intermediate
species and show that it can explain all other experimental observations: the
temperature dependence of the adatom nucleation density, the equilibrium adatom
density and the temperature dependence of the equilibrium island density. All
these processes are described only by the kinematics of the system.
