Euler-Poincare characteristics of classes of disordered media
Arns, Christoph; Knackstedt, Mark; Pinczewski, Wolf Val; Mecke, Klaus
Description
A family of statistical measures is considered based on the Euler-Poincare characteristic of n-dimensional space. These measures represent the information from every order of correlation function. They are sensitive to the morphology of disordered structures. These measures can also be calculated by summing over local distributions. The evolution of measures with density is computed for a range of disordered microstructural models.
dc.contributor.author | Arns, Christoph | |
---|---|---|
dc.contributor.author | Knackstedt, Mark | |
dc.contributor.author | Pinczewski, Wolf Val | |
dc.contributor.author | Mecke, Klaus | |
dc.date.accessioned | 2015-12-10T23:34:27Z | |
dc.date.available | 2015-12-10T23:34:27Z | |
dc.identifier.issn | 1063-651X | |
dc.identifier.uri | http://hdl.handle.net/1885/69444 | |
dc.description.abstract | A family of statistical measures is considered based on the Euler-Poincare characteristic of n-dimensional space. These measures represent the information from every order of correlation function. They are sensitive to the morphology of disordered structures. These measures can also be calculated by summing over local distributions. The evolution of measures with density is computed for a range of disordered microstructural models. | |
dc.publisher | American Physical Society | |
dc.source | Physical Review E | |
dc.subject | Keywords: Amorphous materials; Correlation methods; Crystal microstructure; Foams; Morphology; Random processes; Sandstone; Euler-Poincare characteristics; Statistical measures; Statistical mechanics | |
dc.title | Euler-Poincare characteristics of classes of disordered media | |
dc.type | Journal article | |
local.description.notes | Imported from ARIES | |
local.description.refereed | Yes | |
local.identifier.citationvolume | 63 | |
dc.date.issued | 2001 | |
local.identifier.absfor | 020204 - Plasma Physics; Fusion Plasmas; Electrical Discharges | |
local.identifier.ariespublication | MigratedxPub2023 | |
local.type.status | Published Version | |
local.contributor.affiliation | Arns, Christoph, University of New South Wales | |
local.contributor.affiliation | Knackstedt, Mark, College of Physical and Mathematical Sciences, ANU | |
local.contributor.affiliation | Pinczewski, Wolf Val, University of New South Wales | |
local.contributor.affiliation | Mecke, Klaus, University of Erlangen | |
local.bibliographicCitation.startpage | 031112 -1-13 | |
dc.date.updated | 2015-12-10T11:33:38Z | |
local.identifier.scopusID | 2-s2.0-0035276748 | |
Collections | ANU Research Publications |
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