“Hyperuniformity on Spherical Surfaces” is published in Physical Review E Categories News Author chmadmin Read the full paper: here Link to the journal site: here We study and characterize local density fluctuations of ordered and disordered hyperuniform point distributions on spherical surfaces. In spite of the extensive literature on disordered hyperuniform systems in Euclidean geometries, to date few works have dealt with the problem of hyperuniformity in curved spaces. … Continue Reading “Hyperuniformity on Spherical Surfaces” is published in Physical Review E
“Methodology to Construct Large Realizations of Perfectly Hyperuniform Disordered Packings” is published in Physical Review E. Categories News Author chmadmin Read the paper: full version; low-resolutions Read a related paper: here Link to the journal site: here Disordered hyperuniform packings (or dispersions) are unusual amorphous two-phase materials that are endowed with exotic physical properties. Such hyperuniform systems are characterized by an anomalous suppression of volume-fraction fluctuations at infinitely long-wavelengths, compared to ordinary disordered materials. While … Continue Reading “Methodology to Construct Large Realizations of Perfectly Hyperuniform Disordered Packings” is published in Physical Review E.
“Hidden Multiscale Order in the Primes” is published in Journal of Physics A: Mathematical and Theoretical Categories News Author chmadmin Read the full paper: hereLink to the journal site: here We study the pair correlations between prime numbers in an interval \(M\leq p \leq M + L\) with \(M\to \infty,~ L/M \to \beta > 0\). By analyzing the structure factor, we prove, conditionally on the Hardy–Littlewood conjecture on prime pairs, that the primes are characterized … Continue Reading “Hidden Multiscale Order in the Primes” is published in Journal of Physics A: Mathematical and Theoretical
