Ordering Kinetics in the Active Model B

TL;DR

This paper presents a numerical study of Active Model B, revealing that activity alters phase separation kinetics by changing the domain growth law from t^{1/3} to t^{1/4} and affecting the correlation function scaling.

Contribution

It demonstrates how activity modifies the ordering kinetics in Active Model B, introducing a new late-time growth law and activity-dependent scaling functions.

Findings

Domain growth crosses over from t^{1/3} to t^{1/4} at late times.

Correlation functions show activity-dependent dynamical scaling.

Activity significantly impacts phase separation dynamics.

Abstract

We undertake a detailed numerical study of the {\it Active Model B} proposed by Wittkowski et al. [Nature Comm. {\bf 5}, 4351 (2014)]. We find that the introduction of activity has a drastic effect on the ordering kinetics. First, the domain growth law shows a crossover from the usual Lifshitz-Slyozov growth law for phase separation ($L \sim t^{1/3}$, where $t$ is the time) to a novel growth law ($L \sim t^{1/4}$) at late times. Second, the correlation function exhibits dynamical scaling for a given activity strength $\lambda$, but the scaling function depends on $\lambda$.