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“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

“Inversion Problems for Fourier Transformation of Particle Distributions” is published in Journal of Statistical Mechanics: Theory and Experiment

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Read the full paper: here Link to the online version: here Collective coordinates in a many-particle system are complex Fourier components of the particle density \(n(\mathbf{x}) \equiv \sum_{j=1}^N \delta(\mathbf{x}-\mathbf{r}_j)\), and often provide useful physical insights. However, given collective coordinates, it is desirable to infer the particle coordinates via inverse transformations. In principle, a sufficiently large … Continue Reading “Inversion Problems for Fourier Transformation of Particle Distributions” is published in Journal of Statistical Mechanics: Theory and Experiment

“Hard Convex Lens-shaped Particles: Metastable, Glassy and Jammed States” is published in Soft Matter

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Read the full paper: here Link to the journal page: here We generate and study dense positionally and/or orientationally disordered, including jammed, monodisperse packings of hard convex lens-shaped particles (lenses). Relatively dense isotropic fluid configurations of lenses of various aspect ratios are slowly compressed via a Monte Carlo method based procedure. Under this compression protocol, … Continue Reading “Hard Convex Lens-shaped Particles: Metastable, Glassy and Jammed States” is published in Soft Matter