Turing patterns in three dimensions.
Turing patterns in three dimensions.
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DOI：
10.1103/physreve.75.046212
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发表时间：
2007-04
期刊：
影响因子：
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通讯作者：
Hiroto Shoji;Kohtaro Yamada;D. Ueyama;T. Ohta
中科院分区：
文献类型：
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作者：
Hiroto Shoji;Kohtaro Yamada;D. Ueyama;T. Ohta
我们研究了双组分反应扩散系统中的三维图灵图案。对Fitzhugh-Nagumo方程、布鲁塞尔方程和Gray-Scott模型进行了三维数值求解。得到了几种相互关联的磁区结构以及层状区、六角区和球状区作为稳定的静止平衡模式。基于约化近似，对这些结构的相对稳定性进行了解析研究。并讨论了与嵌段共聚物微相分离结构的关系。
We investigate three-dimensional Turing patterns in two-component reaction diffusion systems. The FitzHugh-Nagumo equation, the Brusselator, and the Gray-Scott model are solved numerically in three dimensions. Several interconnected structures of domains as well as lamellar, hexagonal, and spherical domains are obtained as stable motionless equilibrium patterns. The relative stability of these structures is studied analytically based on the reduction approximation. The relation with the microphase-separated structures in block copolymers is also discussed.