Abstract:
: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.
journal_name
Proc Natl Acad Sci U S Aauthors
Jiao Y,Stillinger FH,Torquato Sdoi
10.1073/pnas.0905919106subject
Has Abstractpub_date
2009-10-20 00:00:00pages
17634-9issue
42eissn
0027-8424issn
1091-6490pii
0905919106journal_volume
106pub_type
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