Hyperuniformity and its generalizations.

@article{Torquato2016HyperuniformityAI,
  title={Hyperuniformity and its generalizations.},
  author={Salvatore Torquato},
  journal={Physical review. E},
  year={2016},
  volume={94 2-1},
  pages={
          022122
        }
}
  • S. Torquato
  • Published 29 July 2016
  • Physics, Medicine
  • Physical review. E
Disordered many-particle hyperuniform systems are exotic amorphous states of matter that lie between crystal and liquid: They are like perfect crystals in the way they suppress large-scale density fluctuations and yet are like liquids or glasses in that they are statistically isotropic with no Bragg peaks. These exotic states of matter play a vital role in a number of problems across the physical, mathematical as well as biological sciences and, because they are endowed with novel physical… Expand
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  • Physics, Medicine
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  • 2016
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Designing disordered hyperuniform two-phase materials with novel physical properties
Abstract Heterogeneous materials consisting of different phases are ideally suited to achieve a broad spectrum of desirable bulk physical properties by combining the best features of the constituentsExpand
Methodology to construct large realizations of perfectly hyperuniform disordered packings.
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It is proved that the constructed packings with a polydispersity in size are perfectly hyperuniform in the infinite-sample-size limit, regardless of particle shapes, positions, and numbers per cell. Expand
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Disordered hyperuniform heterogeneous materials.
  • S. Torquato
  • Physics, Medicine
  • Journal of physics. Condensed matter : an Institute of Physics journal
  • 2016
TLDR
New rigorous criteria that disordered hyperuniform two-phase heterogeneous materials must obey are derived and implications for the design of such novel amorphous materials are explored. Expand
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A general formalism is developed to statistically characterize the microstructure of porous and other composite media composed of inclusions (particles) distributed throughout a matrix phase (which,Expand
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Local density fluctuations, hyperuniformity, and order metrics.
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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, and to study the variance in the number of points contained within a regularly shaped window of arbitrary size to further illuminate the understanding of hyperuniform systems. Expand
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