Kobayashi Yasuaki, Sano Masaki
Department of Physics, The University of Tokyo, Hongo, Tokyo 113-0033, Japan.
Phys Rev E Stat Nonlin Soft Matter Phys. 2006 Jan;73(1 Pt 2):015104. doi: 10.1103/PhysRevE.73.015104. Epub 2006 Jan 26.
We construct a phenomenological model describing aggregated spots and a loop structure. Our model is based on the Gray-Scott model which is supplemented with a global coupling term and advection terms. One of the species makes a field proportional to its concentration, which induces the advection. By numerically investigating the model, we show that the system has a transition from aggregated spots to a loop which wanders around chaotically or reaches a stationary state. Relation to a similar transition observed in a recent gas discharge experiment [S. Nasuno, Chaos 13, 3 (2003)] is discussed.
我们构建了一个描述聚集斑点和环形结构的唯象模型。我们的模型基于格雷 - 斯科特模型，并补充了一个全局耦合项和平流项。其中一个物种产生一个与其浓度成正比的场，从而引发平流。通过对该模型进行数值研究，我们表明系统存在从聚集斑点到环形的转变，该环形会混乱地游走或达到稳定状态。文中还讨论了与最近气体放电实验 [S. Nasuno, Chaos 13, 3 (2003)] 中观察到的类似转变的关系。
