Calculation of the Voronoi boundary for lens-shaped particles and spherocylinders

  title={Calculation of the Voronoi boundary for lens-shaped particles and spherocylinders},
  author={Louis Portal and Maximilien Danisch and Adrian Baule and Romain Mari and Hern{\'a}n A. Makse},
  journal={Journal of Statistical Mechanics: Theory and Experiment},
We have recently developed a mean-field theory to estimate the packing fraction of non-spherical particles (Baule et al 2013 Nature Commun. 4 2194). The central quantity in this framework is the Voronoi excluded volume, which generalizes the standard hard-core excluded volume appearing in Onsager's theory. The Voronoi excluded volume is defined from an exclusion condition for the Voronoi boundary between two particles, which is usually not tractable analytically. Here, we show how the technical… 

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