Temporal evolution of the domain structure in a Poisson–Voronoi transformation

DOI10.1088/1742-5468/2007/06/P06007zbMath1456.82858OpenAlexW2074640557WikidataQ61737748 ScholiaQ61737748MaRDI QIDQ5239362

Eloi Pineda, Daniel Crespo

Publication date: 22 October 2019

Published in: Journal of Statistical Mechanics: Theory and Experiment (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1742-5468/2007/06/p06007

zbMATH Keywords

coarsening processes (theory)cellular solids (theory)coarse-graining (theory)random/ordered microstructures (theory)

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Dynamics of disordered systems (random Ising systems, etc.) in time-dependent statistical mechanics (82C44)

Related Items (7)

Spatial distribution of nuclei in progressive nucleation: modeling and application ⋮ Distance from the nucleus to a uniformly random point in the 0-cell and the typical cell of the Poisson-Voronoi tessellation ⋮ Phase transformation kinetics of Voronoi cells in space tessellation governed by the Kolmogorov-Johnson-Mehl-Avrami model ⋮ Fokker-Planck equation for the particle size distribution function in KJMA transformations ⋮ Planar discrete birth-growth Poisson–Voronoi tessellations with the von Neumann neighbourhood ⋮ Interplay between Kolmogorov-Johnson-Mehl-Avrami kinetics and Poisson-Voronoi tessellation ⋮ Multilayer random sequential adsorption

Cites Work

• Unnamed Item
• Properties of a three-dimensional Poisson-Voronoi tesselation: a Monte Carlo study
• Geometrical probabilities in heterogeneous kinetics: 60 years of side by side development
• The role of spatial pattern in the competition between crop plants and weeds. A theoretical analysis
• Random Johnson-Mehl tessellations
• Random Subdivisions of Space into Crystals

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