Ds. Sholl et Rt. Skodje, EXACT-SOLUTIONS OF THE MONOMER-MONOMER REACTION - SEGREGATION, POISONING, AND INTERFACE EVOLUTION, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 53(1), 1996, pp. 335-342
The dynamics of the monomer-monomer surface reaction can be defined by
an exact, closed set of differential rate equations in the limit of i
nfinite adsorption rates. We use these equations to obtain numerically
converged ''exact'' solutions to this model for a variety of situatio
ns that have previously been treated with Monte Carlo simulations. In
particular, we derive a number of results for spatially inhomogeneous
systems that involve an evolving reactive interface.