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Necessary Conditions on Realizable Two-Point Correlation Functions of Random Media | | Salvatore Torquato
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22 Jun 2006 | | Subject: | Disordered Systems and Neural Networks; Statistical Mechanics | | Abstract: | 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. | | Source: | arXiv, cond-mat/0606577 | | Services: | Forum | Review | PDF | Favorites | |
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