Voronoi cell analysis: The shapes of particle systems

@article{Lazar2022VoronoiCA,
  title={Voronoi cell analysis: The shapes of particle systems},
  author={Emanuel A. Lazar and Jiayin Lu and Chris H. Rycroft},
  journal={ArXiv},
  year={2022},
  volume={abs/2201.10842}
}
Many physical systems can be studied as collections of particles embedded in space, often evolving in time. Natural questions arise concerning how to characterize these arrangements—are they ordered or disordered? If they are ordered, how are they ordered and what kinds of defects do they possess? Voronoi tessellations, originally introduced to study problems in pure mathematics, have become a powerful and versatile tool for analyzing countless problems in pure and applied physics. We explain… 
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