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Hyperuniformity on spherical surfaces
Ariel G. Meyra, Guillermo J. Zarragoicoechea, Alberto. L. Maltz +2
In this work we present a study on the characterization of ordered and disordered hyperuniform point distributions on spherical surfaces. In spite of the extensive literature on di…
Hyperuniformity Order Metric of Barlow Packings
Timothy M. Middlemas, Frank H. Stillinger, Salvatore Torquato
The concept of hyperuniformity has been a useful tool in the study of large-scale density fluctuations in systems ranging across the natural and mathematical sciences. One can rank…
Hyperuniformity of generalized random organization models
Zheng Ma, Salvatore Torquato
Studies of random organization models of monodisperse spherical particles have shown that a hyperuniform state is achievable when the system goes through an absorbing phase transit…
Multifunctional Hyperuniform Cellular Networks: Optimality, Anisotropy and Disorder
Salvatore Torquato, Duyu Chen
Disordered hyperuniform heterogeneous materials are new, exotic amorphous states of matter that behave like crystals in the manner in which they suppress volume-fraction fluctuatio…
Precise algorithms to compute surface correlation functions of two-phase heterogeneous media and their applications
Zheng Ma, Salvatore Torquato
The quantitative characterization of the microstructure of random heterogeneous media in -dimensional Euclidean space via a variety of -point correlation funct…
Hyperuniformity and anti-hyperuniformity in one-dimensional substitution tilings
Erdal C. Oğuz, Joshua E. S. Socolar, Paul J. Steinhardt +1
We consider the scaling properties characterizing the hyperuniformity (or anti-hyperuniformity) of long wavelength fluctuations in a broad class of one-dimensional substitution til…