Subcritical series expansions for multiple-creation nonequilibrium models

Abstract

Perturbative subcritical series expansions for the steady properties of a class of one-dimensional nonequilibrium models characterized by multiple-reaction rules are presented here. We developed long series expansions for three nonequilibrium models: the pair-creation contact process, the A-pair-creation contact process, which is closely related system to the previous model, and the triplet-creation contact process. The long series allowed us to obtain accurate estimates for the critical point and critical exponents. Numerical simulations are also performed and compared with the series expansions results.