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}
}
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… CONTINUE READING
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References

Publications referenced by this paper.
Showing 1-10 of 18 references

A: Math

  • S. Torquato, B. Lu, J. Rubinstein, J. Phys
  • Gen. 23, L103 (1990); Phys. Rev. A 41, 2059
  • 1990
Highly Influential
4 Excerpts

Proc

  • M. Florescu, S. Torquato, P. J. Steinhardt
  • Nat. Acad. Sci. USA 106, 20658 (2009); Phys. Rev…
  • 2011
3 Excerpts

Rev

  • S. Torquato, F. H. Stillinger
  • Mod. Phys. 82, 2633
  • 2010

and P

  • W. Man, M. Florescu, K. Matsuyama, P. Yadak, S. Torquato
  • J. Steinhardt, Conference on Lasers and Electro…
  • 2010
1 Excerpt

J

  • C. E. Zachary, S. Torquato
  • Stat. Mech.: Theory and Expt.
  • 2009

Chem

  • S. Torquato, F. H. Stillinger, J. Phys
  • B 106, 8354 (2002); Expt. Math. 15, 307
  • 2006

Theory of Simple Liquids

  • J.-P. Hansen, I. R. McDonald
  • 3rd ed.
  • 2006
1 Excerpt

Phys

  • S. Torquato, F. H. Stillinger
  • Rev. E 68, 041113
  • 2003

Physica A 306

  • L. Pietronero, A. Gabrielli, F. S. Labini
  • 395
  • 2002
1 Excerpt

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