“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
Multiscale Order in the Primes Categories Uncategorized Author chmadmin The prime numbers have been a source of fascination for millennia and continue to surprise us. Motivated by the hyperuniformity concept, we have shown that the prime numbers in certain large intervals possess unanticipated order across length scales and represent the first example of a new class of many-particle systems with pure point diffraction patterns, … Continue Reading Multiscale Order in the Primes
“New Tessellation-Based Procedure to Design Perfectly Hyperuniform Disordered Dispersions for Materials Discovery” is published in Acta Materialia Categories News Author chmadmin Read the full paper: here Link to the journal: here Disordered hyperuniform dispersions are exotic amorphous two-phase materials characterized by an anomalous suppression of long-wavelength volume-fraction fluctuations, which endows them with novel physical properties. While such unusual materials have received considerable attention, a stumbling block has been an inability to create large samples that are … Continue Reading “New Tessellation-Based Procedure to Design Perfectly Hyperuniform Disordered Dispersions for Materials Discovery” is published in Acta Materialia
