Anomalous local coordination, density fluctuations, and void statistics in disordered hyperuniform many-particle ground states.

@article{Zachary2011AnomalousLC,
  title={Anomalous local coordination, density fluctuations, and void statistics in disordered hyperuniform many-particle ground states.},
  author={Chase E. Zachary and Salvatore Torquato},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2011},
  volume={83 5 Pt 1},
  pages={
          051133
        }
}
  • Chase E. Zachary, S. Torquato
  • Published 29 November 2010
  • Mathematics, Physics, Medicine
  • Physical review. E, Statistical, nonlinear, and soft matter physics
We provide numerical constructions of one-dimensional hyperuniform many-particle distributions that exhibit unusual clustering and asymptotic local number density fluctuations growing more slowly than the volume of an observation window but faster than the surface area. Hyperuniformity, defined by vanishing infinite-wavelength local density fluctuations, provides a quantitative metric of global order within a many-particle configuration and signals the onset of an "inverted" critical point in… Expand
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