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

We perturb the simple cubic (SC), body-centered cubic (BCC), and face-centered cubic (FCC) structures with a spatial Gaussian noise whose adimensional strength is controlled by the parameter and analyze the statistical properties of the cells of the resulting Voronoi tessellations. We concentrate on topological properties, such as the number of faces, and on metric properties, such as the area and the volume. The topological properties of the Voronoi tessellations of the SC

• Type: Journal
• Year: 2008
• Where: CORR
• Authors: Valerio Lucarini
• Keywords: CORR 2008, Education, Spatial Gaussian Noise, Topological Properties, Voronoi Tessellations