Necessary Conditions on Realizable Two-Point Correlation Functions of Random Media

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dc.creatorTorquato, Salvatore
dc.date2006-06-22
dc.date.accessioned2026-07-07T07:12:48Z
dc.date.available2026-07-07T07:12:48Z
dc.descriptionA 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.
dc.description15 pages, 6 figures. This paper will be appearing in a special volume of "Industrial and Engineering Chemistry Research" in honor of Professor William Russel
dc.identifierhttps://arxiv.org/abs/cond-mat/0606577
dc.identifierhttp://arxiv.org/abs/cond-mat/0606577
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/112204
dc.subjectDisordered Systems and Neural Networks
dc.subjectStatistical Mechanics
dc.subjectMathematical Physics
dc.titleNecessary Conditions on Realizable Two-Point Correlation Functions of Random Media
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