Static and dynamical critical behavior of the monomer–monomer reaction model with desorption

摘要: Abstract We studied in this work the monomer–monomer reaction model on a linear chain. The is described by following reaction: A + B → , where and are two monomers that arrive at surface with probabilities y respectively, we have considered desorption of monomer probability α . adsorption controlled limit rate infinitely larger than rate. employ site pair mean-field approximations as well static dynamical Monte Carlo simulations. show exhibits continuous phase transition between an active steady state A-absorbing state, when parameter varied through critical value, which depends value simulations finite-size scaling analysis near point used to determine exponents β ν ⊥ ∥ z results found for desorption, chain, different from those E. V. Albano (Albano, 1992) accordance values obtained Jun Zhuo Sidney Redner (Zhuo Redner, 1993), endorse conjecture Grassberger, states any system undergoing single absorbing same behavior directed percolation universality class.