Ke. Bassler et Da. Browne, 3-SPECIES MONOMER-MONOMER MODEL - A MEAN-FIELD ANALYSIS AND MONTE-CARLO STUDY, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 55(5), 1997, pp. 5225-5233
We study the phase diagram and critical behavior of a one-dimensional
three-species monomer-monomer catalytic surface reaction model. Static
Monte Carlo simulations are used to roughly map out the phase diagram
consisting of a reactive steady state bordered by three equivalent un
reactive phases where the surface is saturated with one monomer specie
s. The transitions from the reactive phase are all continuous, while t
he transitions between poisoned phases are first order. Of particular
interest are the bicritical points where the reactive phase simultaneo
usly meets two poisoned phases. A mean-field cluster analysis fails to
predict all of the qualitative features of the phase diagram unless c
orrelations up to triplets of adjacent sites are included. Scaling pro
perties of the continuous transitions and the bicritical points are st
udied using dynamic Monte Carlo simulations. The transition from the r
eactive to a saturated phase shows directed percolation critical behav
ior, while the universal behavior at the bicritical point is in the ev
en branching annihilating random walk class. The crossover from bicrit
ical to critical behavior is also studied.