147 citations · 168 across the 3 of their papers we have counts for
4 papers
Uncovering Multiscale Order in the Prime Numbers via Scattering
S. Torquato, G. Zhang, M. de Courcy-Ireland
The prime numbers have been a source of fascination for millenia and continue to surprise us. Motivated by the hyperuniformity concept, which has attracted recent attention in phys…
Classical many-particle systems with unique disordered ground states
G. Zhang, F. H. Stillinger, S. Torquato
Classical ground states (global energy-minimizing configurations) of many-particle systems are typically unique crystalline structures, implying zero enumeration entropy of distinc…
Can exotic disordered "stealthy" particle configurations tolerate arbitrarily large holes?
G. Zhang, F. H. Stillinger, S. Torquato
The probability of finding a spherical cavity or "hole" of arbitrarily large size in typical disordered many-particle systems in the infinite-size limit (e.g., equilibrium liquid s…
Ensemble Theory for Stealthy Hyperuniform Disordered Ground States
S. Torquato, G. Zhang, F. H. Stillinger
It has been shown numerically that systems of particles interacting with "stealthy" bounded, long-ranged pair potentials (similar to Friedel oscillations) have classical ground sta…