Multiparticle Reactions with Spatial Anisotropy

TL;DR

This paper investigates how spatial anisotropy influences multiparticle annihilation reactions in one dimension, concluding that anisotropy has negligible effects compared to isotropic conditions, supported by theoretical and numerical analysis.

Contribution

It demonstrates that spatial anisotropy does not significantly alter the behavior of multiparticle annihilation reactions in one dimension, supported by scaling, mean field, and simulation methods.

Findings

Anisotropy has minimal impact on reaction dynamics.

Numerical simulations confirm theoretical predictions.

Results hold for slow reaction rates with k=2 and 4.

Abstract

We study the effect of anisotropic diffusion on the one-dimensional annihilation reaction kA->inert with partial reaction probabilities when hard-core particles meet in groups of k nearest neighbors. Based on scaling arguments, mean field approaches and random walk considerations we argue that the spatial anisotropy introduces no appreciable changes as compared to the isotropic case. Our conjectures are supported by numerical simulations for slow reaction rates, for k=2 and 4.