Anisotropic Diffusion-Limited Reactions with Coagulation and Annihilation

TL;DR

This paper provides exact solutions for one-dimensional anisotropic reaction-diffusion models involving coagulation and annihilation, deriving asymptotic particle densities and discussing their universality in large-time limits.

Contribution

It introduces exact solutions for anisotropic reaction-diffusion models with synchronous dynamics, expanding understanding of their asymptotic behavior and universality classes.

Findings

Exact large-time asymptotic particle densities derived.

Models exhibit universal behavior in long-time limits.

Anisotropic hopping rates significantly influence reaction dynamics.

Abstract

One-dimensional reaction-diffusion models A+A -> 0, A+A -> A, and $A+B -> 0, where in the latter case like particles coagulate on encounters and move as clusters, are solved exactly with anisotropic hopping rates and assuming synchronous dynamics. Asymptotic large-time results for particle densities are derived and discussed in the framework of universality.