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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.
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Sholl et al. (1996) studied this question.
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