Domain-size distribution in a Poisson-Voronoi nucleation and growth transformation.

作者: Eloi Pineda , Victor Garrido , Daniel Crespo

DOI: 10.1103/PHYSREVE.75.040107

关键词: Stochastic processPoisson distributionGeometryDistribution (number theory)Statistical physicsMathematicsTessellationVoronoi diagramTransformation (function)Probability distributionNucleation

摘要: We present an analytical result for the evolution of domain-size distribution during growth simultaneously nucleated domains. The final stage this transformation is well-known Poisson-Voronoi tessellation. method can be easily extended to calculation probability any other geometric characteristic. As far as we know, it first time that exact given classic system.

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