TITLE

Critical exponents of a two-reaction model between monomers

AUTHOR(S)
da Costa, E. C.; Figueiredo, W.
PUB. DATE
July 2002
SOURCE
Journal of Chemical Physics;7/1/2002, Vol. 117 Issue 1, p331
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
We study in this work a competitive reaction model between monomers on a catalytic surface. The surface is represented by a square lattice and we consider the following reactions: A+A(B) →A[sub 2](AB), where A and B are two monomers that arrive at the surface with probabilities y[sub A] and y[sub B], respectively. The model is studied in the adsorption controlled limit, and every time a monomer A or B lands on the surface it occupies a single empty site of the lattice. When a A monomer sits on the surface, it stays there unless it finds another A or B monomer. In this case the reaction occurs instantaneously leaving two new vacant sites on the lattice. The reactions between two A monomers and between A and B monomers are assumed to happen with the same probability. The model is studied in the site and pair mean-field approximations as well as through Monte Carlo simulations. We show that the model exhibits a continuous phase transition between an active and a B-absorbing state, when the parameter y[sub A] is varied through a critical value. Monte Carlo simulations and finite-size scaling analysis at the critical point are used to determine the critical exponents β, v[sub ⊥], and v[sub ...]. Our results seem to confirm that this reaction model is in the same universality class of the directed percolation in (2+1) dimensions.
ACCESSION #
6831300

 

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