Statements in which the resource exists as a subject.
PredicateObject
rdf:type
lifeskim:mentions
pubmed:issue
42
pubmed:dateCreated
2009-10-21
pubmed:abstractText
Two-phase random textures abound in a host of contexts, including porous and composite media, ecological structures, biological media, and astrophysical structures. Questions surrounding the spatial structure of such textures continue to pose many theoretical challenges. For example, can two-point correlation functions be identified that can be manageably measured and yet reflect nontrivial higher-order structural information about the textures? We present a solution to this question by probing the information content of the widest class of different types of two-point functions examined to date using inverse "reconstruction" techniques. This enables us to show that a superior descriptor is the two-point cluster function C(2)(r), which is sensitive to topological connectedness information. We demonstrate the utility of C(2)(r) by accurately reconstructing textures drawn from materials science, cosmology, and granular media, among other examples. Our work suggests a theoretical pathway to predict the bulk physical properties of random textures and that also has important ramifications for atomic and molecular systems.
pubmed:commentsCorrections
pubmed:language
eng
pubmed:journal
pubmed:status
PubMed-not-MEDLINE
pubmed:month
Oct
pubmed:issn
1091-6490
pubmed:author
pubmed:issnType
Electronic
pubmed:day
20
pubmed:volume
106
pubmed:owner
NLM
pubmed:authorsComplete
Y
pubmed:pagination
17634-9
pubmed:dateRevised
2010-9-28
pubmed:year
2009
pubmed:articleTitle
A superior descriptor of random textures and its predictive capacity.
pubmed:affiliation
Department of Mechanical and Aerospace Engineering Princeton University, Princeton, NJ 08544, USA.
pubmed:publicationType
Journal Article