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“Percolation of disordered jammed sphere packings” was published in Journal of Physics A: Mathematical and Theoretical

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Read the full paper: 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 algorithm. For the site threshold, which gives the fraction of conducting versus non-conducting spheres necessary for percolation, we find \(p_c = 0.3116(3)\), consistent with the … Continue Reading “Percolation of disordered jammed sphere packings” was published in Journal of Physics A: Mathematical and Theoretical

“Effect of Window Shape on the Detection of Hyperuniformity via the Local Number Variance” was published in Journal of Statistical Mechanics: Theory and Experiment

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Read the full paper: Hyperuniform many particle systems in \(d\)-dimensional space, which includes crystals, quasicrystals, and some exotic disordered systems, are characterized by an anomalous suppression of density fluctuations at large length scales such that the local number variance within a “spherical” observation window grows slower than the window volume. In usual circumstances, this direct … Continue Reading “Effect of Window Shape on the Detection of Hyperuniformity via the Local Number Variance” was published in Journal of Statistical Mechanics: Theory and Experiment