Dynamical phase transition in the two-point functions of the autonomous one-dimensional single-species reaction-diffusion systems

TL;DR

This paper investigates the dynamical phase transitions in two-point functions of one-dimensional autonomous single-species reaction-diffusion systems, revealing a five-phase structure and illustrating it with a specific example.

Contribution

It identifies a five-phase dynamical phase structure in these systems and provides an example demonstrating each phase.

Findings

Five distinct dynamical phases identified

Explicit example illustrating all phases

Enhanced understanding of reaction-diffusion dynamics

Abstract

The evolution of the two-point functions of autonomous one-dimensional single-species reaction-diffusion systems with nearest-neighbor interaction and translationally-invariant initial conditions is investigated. It is shown that the dynamical phase structure of such systems consists of five phases. As an example, a one-parameter family is introduced which can be in each of these phases.