We undertake a detailed numerical study of the Active Model $B$ proposed by Wittkowski et al., [Nature Commun. 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 equal-time correlation function of the density field exhibits dynamical scaling for a given activity strength $\lambda$, but the scaling function depends on $\lambda$.

中文翻译：

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活性模型中的排序动力学 B

我们对主动模型进行了详细的数值研究 $乙$由 Wittkowski等人提出。, [自然社区。 5 , 4351 (2014)]。我们发现活性的引入对排序动力学有显着影响。首先，域生长定律显示了与通常的 Lifshitz-Slyozov 相分离生长定律的交叉（$升～{吨}^{1/3}$，哪里 $吨$ 是时候）到一个新的增长规律 $(升～{吨}^{1/4})$在很晚的时候。其次，密度场的等时相关函数展示了给定活动强度的动态标度$\lambda$，但缩放函数取决于 $\lambda$.