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Read the full paper: here Link to the journal: here The study of hyperuniform states of matter is an emerging multidisciplinary field, impinging on topics in the physical sciences, mathematics, and biology. The focus of this work is the exploration of quantitative descriptors that herald when a many-particle system in \(d\)-dimensional Euclidean space \(\mathbb{R}^d\) approaches … Continue Reading “Structural characterization of many-particle systems on approach to hyperuniform states” is Published in Physical Review E

Read the full paper: here Link to the journal: here The local number variance \(\sigma^2(R)\) associated with a spherical sampling window of radius \(R\) enables a classification of many-particle systems in \(d\)-dimensional Euclidean space \(\mathbb{R}^d\) according to the degree to which large-scale density fluctuations are suppressed, resulting in a demarcation between hyperuniform and nonhyperuniform phyla. … Continue Reading “Local Number Fluctuations in Hyperuniform and Nonhyperuniform Systems: Higher-Order Moments and Distribution Functions” is Published in Physical Review X

Read the full paper: here Link to the journal: here We derive exact nonlocal homogenized constitutive relations for the effective electromagnetic wave properties of disordered two-phase composites and metamaterials from first principles. This exact formalism enables us to extend the long-wavelength limitations of conventional homogenization estimates of the effective dynamic dielectric constant tensor \( \mathbf{\epsilon}_e(\mathbf{k}_{I},\omega) … Continue Reading “Nonlocal Effective Electromagnetic Wave Characteristics of Composite Media: Beyond the Quasistatic Regime” is Published in Physical Review X