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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.authorArns, Christoph
dc.contributor.authorKnackstedt, Mark
dc.contributor.authorPinczewski, Wolf Val
dc.contributor.authorMecke, Klaus
dc.date.accessioned2015-12-10T23:34:27Z
dc.date.available2015-12-10T23:34:27Z
dc.identifier.issn1063-651X
dc.identifier.urihttp://hdl.handle.net/1885/69444
dc.description.abstractA 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.publisherAmerican Physical Society
dc.sourcePhysical Review E
dc.subjectKeywords: Amorphous materials; Correlation methods; Crystal microstructure; Foams; Morphology; Random processes; Sandstone; Euler-Poincare characteristics; Statistical measures; Statistical mechanics
dc.titleEuler-Poincare characteristics of classes of disordered media
dc.typeJournal article
local.description.notesImported from ARIES
local.description.refereedYes
local.identifier.citationvolume63
dc.date.issued2001
local.identifier.absfor020204 - Plasma Physics; Fusion Plasmas; Electrical Discharges
local.identifier.ariespublicationMigratedxPub2023
local.type.statusPublished Version
local.contributor.affiliationArns, Christoph, University of New South Wales
local.contributor.affiliationKnackstedt, Mark, College of Physical and Mathematical Sciences, ANU
local.contributor.affiliationPinczewski, Wolf Val, University of New South Wales
local.contributor.affiliationMecke, Klaus, University of Erlangen
local.bibliographicCitation.startpage031112 -1-13
dc.date.updated2015-12-10T11:33:38Z
local.identifier.scopusID2-s2.0-0035276748
CollectionsANU Research Publications

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