Subcritical series expansions for multiple-creation nonequilibrium models

TL;DR

This paper develops perturbative subcritical series expansions for steady-state properties of one-dimensional nonequilibrium models with multiple reactions, providing accurate critical point and exponent estimates validated by simulations.

Contribution

It introduces a method for long series expansions in multiple-creation models and applies it to three specific systems, enhancing understanding of their critical behavior.

Findings

Accurate critical points estimated for all models

Critical exponents determined with high precision

Series expansions validated by numerical simulations

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.