Sakaguchi Hidetsugu, Maeyama Satomi
Department of Applied Science for Electronics and Materials, Interdisciplinary Graduate School of Engineering Sciences, Kyushu University, Kasuga, Fukuoka 816-8580, Japan.
Phys Rev E Stat Nonlin Soft Matter Phys. 2013 Feb;87(2):024901. doi: 10.1103/PhysRevE.87.024901. Epub 2013 Feb 15.
A model of clustering dynamics is proposed for a population of spatially distributed active rotators. A transition from excitable to oscillatory dynamics is induced by the increase of the local density of active rotators. It is interpreted as dynamical quorum sensing. In the oscillation regime, phase waves propagate without decay, which generates an effectively long-range interaction in the clustering dynamics. The clustering process becomes facilitated and only one dominant cluster appears rapidly as a result of the dynamical quorum sensing. An exact localized solution is found to a simplified model equation, and the competitive dynamics between two localized states is studied numerically.
针对一群空间分布的活性旋转体，提出了一种聚类动力学模型。活性旋转体局部密度的增加会引发从可激发动力学向振荡动力学的转变。这被解释为动态群体感应。在振荡 regime 中，相位波无衰减地传播，这在聚类动力学中产生了一种有效的长程相互作用。由于动态群体感应，聚类过程变得容易，并且迅速出现了一个主导聚类。找到了一个简化模型方程的精确局域解，并对两个局域态之间的竞争动力学进行了数值研究。
