Necessary Conditions on Realizable Two-Point Correlation Functions of Random Media†
Necessary Conditions on Realizable Two-Point Correlation Functions of Random Media†
复制标题
随机介质可实现的两点相关函数的必要条件†
DOI：
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发表时间：
2006
期刊：
影响因子：
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通讯作者：
S. Torquato
中科院分区：
文献类型：
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作者：
S. Torquato
一个引人入胜且受到广泛关注的逆问题是构建具有目标两点相关函数的随机两相异质介质的实现。然而，并非每个假设的两点相关函数都对应于可实现的两相介质。在这里，我们收集了散布在不同文献中的两点相关函数的所有已知必要条件，并推导出一个新的但简单的正性条件。我们应用必要的条件来测试所提出的某些类别的相关函数的可实现性。
A fascinating inverse problem that has been receiving considerable attention is the construction of realizations of random two-phase heterogeneous media with a target two-point correlation function. However, not every hypothetical two-point correlation function corresponds to a realizable two-phase medium. Here, we collect all of the known necessary conditions on the two-point correlation functions scattered throughout a diverse literature and derive a new, but simple, positivity condition. We apply the necessary conditions to test the realizability of certain classes of proposed correlation functions.