“Rational Design of Stealthy Hyperuniform Two-phase Media with Tunable Order” is published in Physical Review E Categories News Author chmadmin Read the full paper: here Disordered stealthy hyperuniform materials are exotic amorphous states of matter that have attracted recent attention because of their novel structural characteristics (hidden order at large length scales) and physical properties, including desirable photonic and transport properties. It is therefore useful to devise algorithms that enable one to design a wide … Continue Reading “Rational Design of Stealthy Hyperuniform Two-phase Media with Tunable Order” is published in Physical Review E
“The Structure Factor of Primes” is published in Journal of Physics A: Mathematical and Theoretical Categories News Author chmadmin Read the full article: here Link to the journal: here Although the prime numbers are deterministic, they can be viewed, by some measures, as pseudo-random numbers. In this article, we numerically study the pair statistics of the primes using statistical–mechanical methods, particularly the structure factor \(S(k)\) in an interval \([M\leq p \leq M + L … Continue Reading “The Structure Factor of Primes” is published in Journal of Physics A: Mathematical and Theoretical
“Effect of Imperfections on the Hyperuniformity of Many-Body Systems” is published in Physical Review B Categories News Author chmadmin Read the full paper: here A hyperuniform many-body system is characterized by a structure factor \(S(k)\) that vanishes in the small-wavenumber limit or equivalently by a local number variance \(\sigma_N^2(R)\) associated with a spherical window of radius \(R\) that grows more slowly than Rd in the large-R limit. Thus, the hyperuniformity implies anomalous suppression of … Continue Reading “Effect of Imperfections on the Hyperuniformity of Many-Body Systems” is published in Physical Review B
