Numerical study of anomalous diffusion of light in semicrystalline polymer structures
Numerical study of anomalous diffusion of light in semicrystalline polymer structures
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DOI：
10.1103/physrevresearch.2.043375
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发表时间：
2020-06
影响因子：
4.2
通讯作者：
E. Kostadinova;J. Padgett;C. Liaw;L. S. Matthews;T. Hyde
中科院分区：
文献类型：
--
作者：
E. Kostadinova;J. Padgett;C. Liaw;L. S. Matthews;T. Hyde
从大气中污染物的扩散到营养物质的跨细胞膜传输，异常扩散过程在自然系统中无处不在。理解和控制在不同尺度上引导这些过程的机制的能力在材料科学、金融、医学和能量学的研究中具有重要的应用。在这里，我们提出了一个数值研究的异常扩散的光通过半结晶聚合物结构的运输是由随机无序和非局部相互作用。数值技术检查在一维（1D）空间中的扩散特性，通过一个离散的分数拉普拉斯算子（-{\Delta}）^s，0 1（子扩散）的安德森型哈密顿的频谱检查的情况下。本研究的一个重要发现是，在亚扩散的情况下，在关键的空间尺度上，运输可以得到增强，其中所有的状态通常预计将被本地化的（1D）无序系统。
From the spread of pollutants in the atmosphere to the transmission of nutrients across cell membranes, anomalous diffusion processes are ubiquitous in natural systems. The ability to understand and control the mechanisms guiding such processes across various scales has important application to research in materials science, finance, medicine, and energetics. Here we present a numerical study of anomalous diffusion of light through a semi-crystalline polymer structure where transport is guided by random disorder and nonlocal interactions. The numerical technique examines diffusion properties in one-dimensional (1D) space via the spectrum of an Anderson-type Hamiltonian with a discrete fractional Laplacian operator (-{\Delta})^s, 0 1 (sub-diffusion) for most examined cases. An important finding of the present study is that transport can be enhanced at key spatial scales in the sub-diffusive case, where all states are normally expected to be localized for a (1D) disordered system.