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The dynamics of complex reactive schemes is known to deviate from the MeanField (MF) theory when restricted on low dimensional spatial supports. Thisfailure has been attributed to the limited number of species-neighbours whichare available for interactions. In the current study, we introduce effectivereactive parameters, which depend on the type of the spatial support and whichallow for an effective MF description. As working example the Lattice LimitCycle dynamics is used, restricted on a 2D square lattice with nearestneighbour interactions. We show that the MF steady state results are recoveredwhen the kinetic rates are replaced with their effective values. The sameconclusion holds when reactive stochastic rewiring is introduced in the systemvia long distance reactive coupling. Instead, when the stochastic couplingbecomes diffusive the effective parameters no longer predict the steady state.This is attributed to the diffusion process which is an additional factorintroduced into the dynamics and is not accounted for, in the kinetic MFscheme.

Effective Mean Field Approach to Kinetic Monte Carlo Simulations in Limit Cycle Dynamics with Reactive and Diffusive Rewiring