Local density fluctuations, hyperuniformity, and order metrics.

@article{Torquato2003LocalDF,
  title={Local density fluctuations, hyperuniformity, and order metrics.},
  author={Salvatore Torquato and Frank H. Stillinger},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2003},
  volume={68 4 Pt 1},
  pages={
          041113
        }
}
  • S. Torquato, F. Stillinger
  • Published 29 October 2003
  • Mathematics, Physics, Medicine
  • Physical review. E, Statistical, nonlinear, and soft matter physics
Questions concerning the properties and quantification of density fluctuations in point patterns continue to provide many theoretical challenges. The purpose of this paper is to characterize certain fundamental aspects of local density fluctuations associated with general point patterns in any space dimension d. Our specific objectives are to study the variance in the number of points contained within a regularly shaped window Omega of arbitrary size, and to further illuminate our understanding… Expand
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