Euler-Poincaré characteristics of classes of disordered media

C. H. Arns; M. A. Knackstedt; W. V. Pinczewski; K. R. Mecke

doi:10.1103/PhysRevE.63.031112

Euler-Poincaré characteristics of classes of disordered media

C. H. Arns, M. A. Knackstedt, W. V. Pinczewski, K. R. Mecke

Research output: Contribution to journal › Article › peer-review

93 Citations (Scopus)

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.

Original language	English
Pages (from-to)	311121-3111213
Number of pages	2800093
Journal	Physical Review E
Volume	63
Issue number	3
DOIs	https://doi.org/10.1103/PhysRevE.63.031112
Publication status	Published - Mar 2001

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title = "Euler-Poincar{\'e} characteristics of classes of disordered media",

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.",

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AB - 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.

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Euler-Poincaré characteristics of classes of disordered media

Abstract

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