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Euler-Poincare characteristics of classes of disordered media

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Date

2001

Authors

Arns, Christoph
Knackstedt, Mark
Pinczewski, Wolf Val
Mecke, Klaus

Journal Title

Journal ISSN

Volume Title

Publisher

American Physical Society

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.

Description

Keywords

Keywords: Amorphous materials; Correlation methods; Crystal microstructure; Foams; Morphology; Random processes; Sandstone; Euler-Poincare characteristics; Statistical measures; Statistical mechanics

Citation

URI

http://hdl.handle.net/1885/69444

Collections

ANU Research Publications

Source

Physical Review E

Type

Journal article

Book Title

Entity type

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DOI

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