Zh. Hou et al., KINETIC PHASE-TRANSITION OF THE DIMER-DIMER SURFACE-REACTION MODEL, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 58(1), 1998, pp. 234-240
The dimer-dimer (DD) reaction model 1/2A(2)+B-2-->AB(2) is studied by
means of Monte Carlo simulation and mean field theory based on the law
of mass action, site approximation, and pair approximation. We find t
hat both site and pair approximation can well reproduce the phase diag
rams of the DD model. This fact implies that correlation effects are n
ot so important in the vicinity of the first-order phase transition ch
aracteristic of the DD model. A variant of the DD model, which account
s for the recombination of the intermediate product C, is also studied
. We find that C+ C reaction does not change the qualitative critical
behavior of the DD model.