The phase transition of triplet reaction-diffusion models

TL;DR

This paper investigates phase transitions in triplet reaction-diffusion models through large-scale simulations, revealing critical behavior and suggesting an upper critical dimension of one for these systems.

Contribution

It provides the first detailed analysis of phase transition classes in triplet reaction-diffusion models with site restrictions, identifying mean-field scaling and logarithmic corrections.

Findings

Mean-field scaling observed in simulations.

Signs of logarithmic corrections near criticality.

Upper critical dimension suggested to be one.

Abstract

The phase transitions classes of reaction-diffusion systems with multi-particle reactions is an open challenging problem. Large scale simulations are applied for the 3A -> 4A, 3A -> 2A and the 3A -> 4A, 3A->0 triplet reaction models with site occupation restriction in one dimension. Static and dynamic mean-field scaling is observed with signs of logarithmic corrections suggesting d_c=1 upper critical dimension for this family of models.