On volume and surface densities of dynamical germ-grain models with ellipsoidal growth: a rigorous approach with applications to Materials Science

DOI10.1080/07362994.2020.1773276zbMath1456.60045OpenAlexW3035392376MaRDI QIDQ4964395

Elena Villa, Paulo R. Rios

Publication date: 2 March 2021

Published in: Stochastic Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/07362994.2020.1773276

zbMATH Keywords

phase transformationPoisson processMinkowski contentrandom setbirth-and-growth process

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Length, area, volume, other geometric measure theory (28A75) Molecular, statistical, and kinetic theories in solid mechanics (74A25)

Cites Work

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• Mean Densities and Spherical Contact Distribution Function of Inhomogeneous Boolean Models
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• Theory of Random Sets
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