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“Hyperuniformity Order Metric of Barlow Packings” is published in Physical Review E.

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Read the full paper: here Link to the journal: here The concept of hyperuniformity has been a useful tool in the study of density fluctuations at large length scales in systems ranging across the natural and mathematical sciences. One can rank a large class of hyperuniform systems by their ability to suppress long-range density fluctuations … Continue Reading “Hyperuniformity Order Metric of Barlow Packings” is published in Physical Review E.

“Hyperuniformity of Generalized Random Organization Models” is published in Physical Review E.

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Read the full paper: hereLink to the journal: here Studies of random organization models of monodisperse (i.e., identical) spherical particles have shown that a hyperuniform state is achievable when the system goes through an absorbing phase transition to a critical state. Here we investigate to what extent hyperuniformity is preserved when the model is generalized … Continue Reading “Hyperuniformity of Generalized Random Organization Models” is published in Physical Review E.

“Hyperuniformity and Anti-Hyperuniformity in One-Dimensional Substitution Tilings” is published in Acta Crystalographica Section A

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Read the full paper: here Read the journal page: here This work considers the scaling properties characterizing the hyperuniformity (or anti-hyperuniformity) of long-wavelength fluctuations in a broad class of one-dimensional substitution tilings. A simple argument is presented which predicts the exponent \(\alpha\) governing the scaling of Fourier intensities at small wavenumbers, tilings with \(\alpha>0\) being … Continue Reading “Hyperuniformity and Anti-Hyperuniformity in One-Dimensional Substitution Tilings” is published in Acta Crystalographica Section A