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- Publisher Website: 10.1103/PhysRevE.86.051128
- Scopus: eid_2-s2.0-84870694152
- PMID: 23214759
- WOS: WOS:000311550500004
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Article: Statistical topology of cellular networks in two and three dimensions
Title | Statistical topology of cellular networks in two and three dimensions |
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Authors | |
Issue Date | 2012 |
Citation | Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 2012, v. 86, n. 5, article no. 051128 How to Cite? |
Abstract | Cellular networks may be found in a variety of natural contexts, from soap foams to biological tissues to grain boundaries in a polycrystal, and the characterization of these structures is therefore a subject of interest to a range of disciplines. An approach to describe the topology of a cellular network in two and three dimensions is presented. This allows for the quantification of a variety of features of the cellular network, including a quantification of topological disorder and a robust measure of the statistical similarity or difference of a set of structures. The results of this analysis are presented for numerous simulated systems including the Poisson-Voronoi and the steady-state grain growth structures in two and three dimensions. © 2012 American Physical Society. |
Description | Accepted manuscript is available on the publisher website. |
Persistent Identifier | http://hdl.handle.net/10722/303393 |
ISSN | 2014 Impact Factor: 2.288 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Mason, J. K. | - |
dc.contributor.author | Lazar, E. A. | - |
dc.contributor.author | MacPherson, R. D. | - |
dc.contributor.author | Srolovitz, D. J. | - |
dc.date.accessioned | 2021-09-15T08:25:13Z | - |
dc.date.available | 2021-09-15T08:25:13Z | - |
dc.date.issued | 2012 | - |
dc.identifier.citation | Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 2012, v. 86, n. 5, article no. 051128 | - |
dc.identifier.issn | 1539-3755 | - |
dc.identifier.uri | http://hdl.handle.net/10722/303393 | - |
dc.description | Accepted manuscript is available on the publisher website. | - |
dc.description.abstract | Cellular networks may be found in a variety of natural contexts, from soap foams to biological tissues to grain boundaries in a polycrystal, and the characterization of these structures is therefore a subject of interest to a range of disciplines. An approach to describe the topology of a cellular network in two and three dimensions is presented. This allows for the quantification of a variety of features of the cellular network, including a quantification of topological disorder and a robust measure of the statistical similarity or difference of a set of structures. The results of this analysis are presented for numerous simulated systems including the Poisson-Voronoi and the steady-state grain growth structures in two and three dimensions. © 2012 American Physical Society. | - |
dc.language | eng | - |
dc.relation.ispartof | Physical Review E - Statistical, Nonlinear, and Soft Matter Physics | - |
dc.title | Statistical topology of cellular networks in two and three dimensions | - |
dc.type | Article | - |
dc.description.nature | link_to_OA_fulltext | - |
dc.identifier.doi | 10.1103/PhysRevE.86.051128 | - |
dc.identifier.pmid | 23214759 | - |
dc.identifier.scopus | eid_2-s2.0-84870694152 | - |
dc.identifier.volume | 86 | - |
dc.identifier.issue | 5 | - |
dc.identifier.spage | article no. 051128 | - |
dc.identifier.epage | article no. 051128 | - |
dc.identifier.eissn | 1550-2376 | - |
dc.identifier.isi | WOS:000311550500004 | - |