Vectorial crystallization problems and collective behavior.

@article{DeLuca2021VectorialCP,
  title={Vectorial crystallization problems and collective behavior.},
  author={Lucia De Luca and A. R. Del Ninno and Marcello Ponsiglione},
  journal={Journal of mathematical biology},
  year={2021},
  volume={84 1-2},
  pages={
          6
        }
}
We propose and analyze a class of vectorial crystallization problems, with applications to crystallization of anisotropic molecules and collective behavior such as birds flocking and fish schooling. We focus on two-dimensional systems of "oriented" particles: Admissible configurations are represented by vectorial empirical measures with density in [Formula: see text]. We endow such configurations with a graph structure, where the bonds represent the "convenient" interactions between particles… 

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