Abstract
We study a competitive reaction model in one dimension with different reactivity weights for the reactions. We consider the A + A → A 2 auto-catalytic reaction model and the A + B → AB monomer–monomer reaction model, where A and B are monomers arriving at the surface with probabilities y A and y B , respectively. The model is studied in the site and pair mean field approximations, and by Monte Carlo simulations. The phase diagram of the model displays a line of continuous phase transitions between active and poisoned states, and we determined the critical exponents, β and ν ⊥ of the model. Our results indicate that the critical behavior of the model does not change with the reactivity rate, and it belongs to the directed percolation universality class.
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