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反应扩散系统中的二维和三维驻波。

Two- and three-dimensional standing waves in a reaction-diffusion system.

作者信息

Bánsági Tamás, Vanag Vladimir K, Epstein Irving R

机构信息

Department of Chemistry, Brandeis University, Mail Stop 015, Waltham, Massachusetts 02454-9110, USA.

出版信息

Phys Rev E Stat Nonlin Soft Matter Phys. 2012 Oct;86(4 Pt 2):045202. doi: 10.1103/PhysRevE.86.045202. Epub 2012 Oct 15.

DOI:10.1103/PhysRevE.86.045202
PMID:23214640
Abstract

We observe standing waves of chemical concentration in thin layers [quasi-two-dimensional (2D)] and capillaries [three-dimensional (3D)] containing the aqueous Belousov-Zhabotinsky reaction in a reverse microemulsion stabilized by the ionic surfactant sodium bis-2-ethylhexyl sulfosuccinate (AOT) and with cyclo-octane as the continuous phase. The 3D structures are oscillatory lamellae or square-packed cylinders at high and low volume fractions, respectively, of aqueous droplets. These patterns correspond to oscillatory labyrinthine stripes and square-packed spots in the 2D configuration. Computer simulations, as well as observations in E. coli, give qualitative agreement with the observed patterns and suggest that, in contrast to Turing patterns, the structures are sensitive to the size and shape of the system.

摘要

我们观察到,在由离子表面活性剂双-2-乙基己基磺基琥珀酸钠(AOT)稳定、以环辛烷为连续相的反相微乳液中,含有贝洛索夫-扎博廷斯基水相反应的薄层[准二维(2D)]和毛细管[三维(3D)]中化学物质浓度的驻波。三维结构在水滴的高、低体积分数下分别为振荡薄片或方形堆积圆柱体。这些图案分别对应于二维配置中的振荡迷宫条纹和方形堆积斑点。计算机模拟以及在大肠杆菌中的观察结果与所观察到的图案在定性上是一致的,并表明,与图灵图案不同,这些结构对系统的大小和形状敏感。

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