2008, Vol.11, No.2, pp.259-264
A trimolecular, autocatalytic, reactive system is studied using
the Mean Field (MF) approach and Kinetic Monte Carlo (KMC)
simulations on the square lattice.
The system involves two reactive species and empty sites
and includes particle birth, death and reaction processes.
The corresponding model is lattice compatible
and at the MF level gives rise to conservative oscillations.
It is shown that the amplitude
and the period of oscillations depend on the system
parameters, while the analytic expression of the two integrals of
motion is obtained. KMC simulations, which take into account
local interactions, demonstrate the evolution of the
species' concentrations and the formation of clusters
and patterns. For homogeneous initial conditions and
depending on the reaction rates ki,i=1,2,3 the model
exhibits local oscillations and for specific initial
conditions coexistence of frozen and oscillatory regions
Key words: spatial disorder, lattice model, Kinetic Monte Carlo simulations, reactive system, kinetics
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