Reaction-diffusion fronts in systems with concentration-dependent diffusivities
Reaction-diffusion fronts in systems with concentration-dependent diffusivities
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DOI：
10.1103/physreve.74.036103
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发表时间：
2006-09-01
影响因子：
2.4
通讯作者：
Koza, Zbigniew
中科院分区：
文献类型：
--
作者：
Polanowski, Piotr;Koza, Zbigniew
我们研究了具有浓度依赖扩散率的不可逆反应扩散系统中形成的反应前沿的性质。我们研究了这类系统的两种不同模型，发现在反应产物扩散系数极小的极限下，反应锋面动力学进入一个单独的普适性类，反应锋面宽度渐近地趋向于一个常数，反应锋面中心的反应速率随时间t减小，为t（-1/2）。这种行为也可以在反应产物的中间扩散系数不消失（但很小）的系统中观察到。
We examine properties of a reaction front that forms in irreversible reaction-diffusion systems with concentration-dependent diffusivities. We study two different models of such systems and find that in the limit of a vanishingly small diffusivity of the reaction product, the reaction front dynamics enters a separate universality class, with the front width asymptotically tending to a constant value, and the reaction rate at the reaction front center diminishing with time t as t(-1/2). This behavior can be also observed in systems with nonvanishing (but small) diffusivity of the reaction product at intermediate times.