Coarsening with nontrivial in-domain dynamics: Correlations and interface fluctuations.
Coarsening with nontrivial in-domain dynamics: Correlations and interface fluctuations.
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通过非平凡的域内动力学进行粗化：相关性和界面波动
DOI：
10.1103/physreve.96.012147
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发表时间：
2017
期刊：
影响因子：
--
通讯作者：
M. Pleimling
中科院分区：
文献类型：
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作者：
B. L. Brown;M. Pleimling
利用数值模拟，我们研究了一个系统的时空特性，其中螺旋出现在粗化域中，从而产生非平凡的内部动力学。最初是在种群动态背景下提出的，研究的六种模型显示了由三种物种组成的生长域，这种生长域以石头剪刀布的关系组成。通过对时空相关及其衍生的特征长度、自相关、空点密度和界面宽度等不同量的研究，证明了区域内的非平凡动力学影响了粗化过程以及分离不同区域的界面的性质。区域生长、老化和界面波动是由指数控制的，这些指数的值不同于曲率驱动粗化系统的预期值。
Using numerical simulations we investigate the space-time properties of a system in which spirals emerge within coarsening domains, thus giving rise to nontrivial internal dynamics. Initially proposed in the context of population dynamics, the studied six-species model exhibits growing domains composed of three species in a rock-paper-scissors relationship. Through the investigation of different quantities, such as space-time correlations and the derived characteristic length, autocorrelation, density of empty sites, and interface width, we demonstrate that the nontrivial dynamics inside the domains affects the coarsening process as well as the properties of the interfaces separating different domains. Domain growth, aging, and interface fluctuations are shown to be governed by exponents whose values differ from those expected in systems with curvature driven coarsening.