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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

Read the full paper Disordered hyperuniform many-particle systems have attracted considerable recent attention, since they behave like crystals in the manner in which they suppress large-scale density fluctuations, and yet also resemble statistically isotropic liquids and glasses with no Bragg peaks. One important class of such systems is the classical ground states of “stealthy potentials.” … Continue Reading “Transport, geometrical, and topological properties of stealthy disordered hyperuniform two-phase systems” is published in Journal of Chemical Physics

Read the full paper here For a popular account of the research, see the Princeton University news story In proliferating epithelia of mammalian skin, cells of irregular polygon-like shapes pack into complex, nearly flat two-dimensional structures that are pliable to deformations. In this work, we employ various sensitive correlation functions to quantitatively characterize structural features … Continue Reading “Structural Characterization and Statistical-Mechanical Model of Epidermal Patterns” is published in Biophysical Journal