The dynamics of the monomer-monomer surface reaction can be defined by an exact, closed set of differential rate equations in the limit of infinite absorption rates. We use these equations to obtain numerically converged ‘‘exact’’ solutions to this model for a variety of situations 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. © 1996 The American Physical Society.

• Received 16 August 1995

DOI:https://doi.org/10.1103/PhysRevE.53.335