Phase transition in a triplet process

TL;DR

This paper investigates a reaction-diffusion process with triplet reactions, revealing a unique continuous phase transition influenced by non-trivial fluctuations in low dimensions, which differs from classical models.

Contribution

It identifies a novel phase transition in a triplet reaction-diffusion process and analyzes its critical behavior considering fluctuation effects below the upper critical dimension.

Findings

Distinct continuous phase transition observed

Critical behavior influenced by non-trivial fluctuations

Upper critical dimension identified as 4/3

Abstract

We show that the reaction-diffusion process 3A -> 4A, 3A -> 2A exhibits a different type of continuous phase transition from an active into an absorbing phase. Because of the upper critical dimension d_c = 4/3 we expect the phase transition in 1+1 dimensions to be characterized by non-trivial fluctuation effects.