Interfacial-curvature-driven coarsening in mass-conserved reaction-diffusion systems
Interfacial-curvature-driven coarsening in mass-conserved reaction-diffusion systems
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质量守恒反应扩散系统中界面曲率驱动的粗化
DOI：
10.1103/physrevresearch.3.023198
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发表时间：
2021
影响因子：
4.2
通讯作者：
M. Tateno and S. Ishihara
中科院分区：
文献类型：
--
作者：
宮川一慶;高田弘樹;家永紘一郎;辻井宏之;橋爪健一;河江達也;仲田光樹;M. Tateno and S. Ishihara
化学物质的质量守恒出现在广泛的反应扩散系统（rds）中，并且已知会导致化学浓度模式的粗化。最近对具有质量守恒的rds （mcrds）的理论研究表明，两态之间的界面曲率有助于粗化过程，这让人联想到相分离现象。然而，由于mcrds没有预设变分原理，因此表面张力的描述是否有效在很大程度上是未知的。本文从数值和理论上探讨了二维和三维mcrds中模式的粗化过程。我们确定了均匀稳态变为稳定、不稳定和亚稳态的参数区域。在不稳定区，图案形成是由通常不稳定触发的，而在亚稳区，观察到成核生长型图案形成。在后期阶段，两个区域都观察到球形液滴模式，它们遵循类似于Young-Laplace定律的关系，并且遵循蒸发-冷凝机制。这些结果表明，在存在一个守恒变量的情况下，一个类似于表面张力的物理量与rds有关，这为化学反应驱动的分子自组装提供了洞见。
Mass conservation in chemical species appears in a broad class of reaction-diffusion systems (RDSs) and is known to cause coarsening of the pattern in chemical concentration. Recent theoretical studies on RDSs with mass conservation (MCRDSs) have reported that the interfacial curvature between two states contributes to the coarsening process, which is reminiscent of phase separation phenomena. However, since MCRDSs do not presuppose a variational principle, it is largely unknown whether description of surface tension is operative. In this paper, we numerically and theoretically explore the coarsening process of patterns in MCRDSs in two and three dimensions. We identify the parameter regions where the homogeneous steady state becomes stable, unstable, and metastable. In the unstable region, pattern formation is triggered by usualinstability, whereas in the metastable region, nucleation-growth-type pattern formation is observed. In the later stage, spherical droplet patterns are observed in both regions, where they obey a relation similar to the Young-Laplace law and coarsen following the evaporation-condensation mechanism. These results demonstrate that in the presence of a conserved variable, a physical quantity similar to surface tension is relevant to RDSs, which provides insight into molecular self-assembly driven by chemical reactions.