Exact conditions on physically realizable correlation functions of random media
Exact conditions on physically realizable correlation functions of random media
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随机介质物理可实现相关函数的精确条件
DOI：
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发表时间：
1999
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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
最近已经开发了算法来构造具有指定统计相关函数的随机介质的实现。需要对相关函数制定精确的条件，以确保假设的相关函数在物理上是可实现的。在这里，我们得到的积极性条件的d维统计均匀介质和统计各向同性介质的自相关函数的某些积分。这些积分条件，然后应用于测试各类自相关函数。最后，我们注意到三点相关函数的一些积分条件。
Algorithms have been developed recently to construct realizations of random media with specified statistical correlation functions. There is a need for the formulation of exact conditions on the correlation functions in order to ensure that hypothetical correlation functions are physically realizable. Here we obtain positivity conditions on certain integrals of the autocorrelation function of d-dimensional statistically homogeneous media and of statistically isotropic media. These integral conditions are then applied to test various classes of autocorrelation functions. Finally, we note some integral conditions on the three-point correlation function.