771 citations · 12.9k across the 162 of their papers we have counts for
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Hyperuniformity of Quasicrystals
Erdal C. Oğuz, Joshua E. S. Socolar, Paul J. Steinhardt +1
Hyperuniform systems, which include crystals, quasicrystals and special disordered systems, have attracted considerable recent attention, but rigorous analyses of the hyperuniformi…
Structural characterization and statistical-mechanical model of epidermal patterns
Duyu Chen, Wen Yih Aw, Danelle Devenport +1
In proliferating epithelia of mammalian skin, cells of irregular polygonal-like shapes pack into complex nearly flat two-dimensional structures that are pliable to deformations. In…
The Weyl-Heisenberg ensemble: hyperuniformity and higher Landau levels
Luís Daniel Abreu, João M. Pereira, José Luis Romero +1
Weyl-Heisenberg ensembles are a class of determinantal point processes associated with the Schrödinger representation of the Heisenberg group. Hyperuniformity characterizes a state…
Percolation of disordered jammed sphere packings
Robert M. Ziff, Salvatore Torquato
We determine the site and bond percolation thresholds for a system of disordered jammed sphere packings in the maximally random jammed state, generated by the Torquato-Jiao algorit…
Effect of Window Shape on the Detection of Hyperuniformity via the Local Number Variance
Jaeuk Kim, Salvatore Torquato
Hyperuniform many particle systems in d-dimensional space, which includes crystals, quasicrystals, and some exotic disordered systems, are characterized by an anomalous suppression…
Characterization of Maximally Random Jammed Sphere Packings: II. Correlation Functions and Density Fluctuations
Michael A. Klatt, Salvatore Torquato
In the first paper of this series, we introduced Voronoi correlation functions to characterize the structure of maximally random jammed (MRJ) sphere packings across length scales.…
Static Structural Signatures of Nearly Jammed Disordered and Ordered Hard-Sphere Packings: Direct Correlation Function
Steven Atkinson, Frank H. Stillinger, Salvatore Torquato
Dynamical signatures are known to precede jamming in hard-particle systems, but static structural signatures have proven more elusive. The observation that compressing hard-particl…
Disordered Hyperuniform Heterogeneous Materials
Salvatore Torquato
Disordered hyperuniform many-body systems are distinguishable states of matter that lie between a crystal and liquid: they are like perfect crystals in the way they suppress large-…
Hyperuniformity and its Generalizations
Salvatore Torquato
Disordered many-particle hyperuniform systems are exotic amorphous states characterized by anomalous suppression of large-scale density fluctuations. Here we substantially broaden…
Critical slowing down and hyperuniformity on approach to jamming
Steven Atkinson, Ge Zhang, Adam B. Hopkins +1
Hyperuniformity characterizes a state of matter that is poised at a critical point at which density or volume-fraction fluctuations are anomalously suppressed at infinite wavelengt…
A geometric-Structure Theory for maximally Random Jammed Packings
Jianxiang Tian, Y. Xu, Y. Jiao +1
Maximally random jammed (MRJ) particle packings can be viewed as prototypical glasses in that they are maximally disordered while simultaneously being mechanically rigid. The predi…