The Application of Mean-Field Renormalization Group for A+B\rightarrow AB Reaction Model

Authors: Hüseyin KAYA, Ayşe ERZAN

Abstract: We study A+B\rightarrow AB reaction model in one-dimension as an example of non-equilibrium systems by using mean-field renormalization group (MFRG) approach which relies on the comparison of different clusters of lattice sites. Time evolution of each state of clusters with different sizes, namely Master equations, are considered. For steady-state, phase transition and fixed points are investigated and compared with Monte Carlo simulation results.

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