Three-dimensional Random Voronoi Tessellations: From Cubic Crystal Lattices to Poisson Point Processes

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Lucarini, Valerio;
  • Publisher: Springer
  • Related identifiers: doi: 10.1007/s10955-008-9668-y
  • Subject: Mathematical Physics | Physics - Data Analysis, Statistics and Probability | Nonlinear Sciences - Pattern Formation and Solitons | Computer Science - Computational Geometry | Condensed Matter - Statistical Mechanics | Condensed Matter - Other Condensed Matter | Condensed Matter - Disordered Systems and Neural Networks
    arxiv: Condensed Matter::Materials Science

We perturb the SC, BCC, and FCC crystal structures with a spatial Gaussian noise whose adimensional strength is controlled by the parameter a, and analyze the topological and metrical properties of the resulting Voronoi Tessellations (VT). The topological properties of ... View more
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