On the universality of a class of annihilation-coagulation models

TL;DR

This paper introduces a class of reaction-diffusion models that interpolate between coagulation and annihilation, establishing exact relations and exploring how initial correlations affect universality in one dimension.

Contribution

It presents a unified framework for reaction-diffusion models and derives exact relations, highlighting the impact of initial correlations on universality in one-dimensional systems.

Findings

Exact relations among different models' observables

Initial correlations can lead to non-universal amplitudes in 1D

Unified class of models interpolating between diffusion-coagulation and annihilation

Abstract

A class of $d$-dimensional reaction-diffusion models interpolating continuously between the diffusion-coagulation and the diffusion-annihilation models is introduced. Exact relations among the observables of different models are established. For the one-dimensional case, it is shown how correlations in the initial state can lead to non-universal amplitudes for time-dependent particles density.