Local density fluctuations, hyperuniformity, and order metrics

Salvatore Torquato, Frank H. Stillinger

Research output: Contribution to journalArticlepeer-review

441 Scopus citations


The fundamental aspects of local density fluctuations associated with general point patterns in any space dimension were studied. The variance in the number of points contained within a regularly shaped window of arbitrary size was also studied. It was observed that the lattice associated with the densest packing of congruent spheres possess the smallest variance with respect to the face-centered cubic lattice. The result suggest that the local variance serve as a useful order metric for general point patterns.

Original languageEnglish (US)
Article number041113
Pages (from-to)411131-4111325
Number of pages3700195
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Issue number4 1
StatePublished - Oct 2003

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics


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