梳状结构上存在平流和扩散时的反常输运状态和渐近浓度分布
Anomalous transport regimes and asymptotic concentration distributions in the presence of advection and diffusion on a comb structure
摘要：
本文研究了平流作用下杂质粒子在梳状结构上的输运。得到了主体浓度分布和渐近浓度分布。在有限齿梳状结构上出现了七种不同的输运方式：经典扩散、平流、准扩散、亚扩散、慢经典扩散和两种慢平流。准扩散值得特别注意。其特征在于均方位移的线性增长。然而，准扩散是一种反常的输运机制。我们确定，时间上的运输机制的改变导致空间上的机制的改变。浓度尾流具有级联结构，即由几个部分组成。
英文摘要：
We study a transport of impurity particles on a comb structure in the presence of advection. The main body concentration and asymptotic concentration distributions are obtained. Seven different transport regimes occur on the comb structure with finite teeth: classical diffusion, advection, quasidiffusion, subdiffusion, slow classical diffusion and two kinds of slow advection. Quasidiffusion deserves special attention. It is characterized by a linear growth of the mean squared displacement. However, quasidiffusion is an anomalous transport regime. We established that a change of transport regimes in time leads to a change of regimes in the space. Concentration tails have a cascade structure, namely consisting of several parts.
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