论文标题
Debye随机介质的产生和结构表征
Generation and Structural Characterization of Debye Random Media
论文作者
论文摘要
在他们通过不均匀的实心散射的开创性论文中，Debye和同事提出了一个简单的指数衰减函数，该函数为理想化类别的两相随机培养基的两点相关函数呈指数衰减。这样的{\ it Debye随机介质}已被证明是可实现的，它与所有其他两相介质的其他模型完全不同，因为它们完全由它们的单点和两点相关函数来定义。据我们所知，尚未确定Debye随机媒体的其他微结构描述符。在本文中，我们使用加速的Yeong-torquato Construction算法在二维中生成Debye随机介质。然后，我们确定构造介质的微观结构描述符，包括它们的表面相关功能，孔径分布，线性路径函数和和弦长度概率密度函数。设计了这些描述符的准确的半分析和经验公式。我们将Debye随机介质与其他流行模型（重叠磁盘和平衡硬盘）的结果进行比较，并发现前一个模型具有更大的孔尺寸，包括很大一部分大孔。我们的算法可以应用于生成由其两点相关函数定义的其他模型，并且可以通过此处提出的程序确定和分析其其他微观结构描述符。
In their seminal paper on scattering by an inhomogeneous solid, Debye and coworkers proposed a simple exponentially decaying function for the two-point correlation function of an idealized class of two-phase random media. Such {\it Debye random media}, which have been shown to be realizable, are singularly distinct from all other models of two-phase media in that they are entirely defined by their one- and two-point correlation functions. To our knowledge, there has been no determination of other microstructural descriptors of Debye random media. In this paper, we generate Debye random media in two dimensions using an accelerated Yeong-Torquato construction algorithm. We then ascertain microstructural descriptors of the constructed media, including their surface correlation functions, pore-size distributions, lineal-path function, and chord-length probability density function. Accurate semi-analytic and empirical formulas for these descriptors are devised. We compare our results for Debye random media to those of other popular models (overlapping disks and equilibrium hard disks), and find that the former model possesses a wider spectrum of hole sizes, including a substantial fraction of large holes. Our algorithm can be applied to generate other models defined by their two-point correlation functions, and their other microstructural descriptors can be determined and analyzed by the procedures laid out here.
