UNIVERSALITY OF 1-DIMENSIONAL REACTION MODELS

Abstract

We investigate the general case of a nearest neighbor interacting particle system in 1-dimension by using a real space-time renormalization approach. Discrete time branching annihilation random walk and basic contact process are included as special cases. We present an evidence that all nearest neighbor interacting particle systems involving 2nd order extinction-survival dynamical phase transition converge to contact process in the large scale limit, which is consistent with numerical results for contact process and branching annihilating random walk.