147 citations · 534 across the 8 of their papers we have counts for
8 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…
Transport, Geometrical and Topological Properties of Stealthy Disordered Hyperuniform Two-Phase Systems
G. Zhang, F. H. Stillinger, S. Torquato
Disordered hyperuniform many-particle systems have attracted considerable recent attention. One important class of such systems is the classical ground states of "stealthy potentia…
The Perfect Glass Paradigm: Disordered Hyperuniform Glasses Down to Absolute Zero
G. Zhang, F. H. Stillinger, S. Torquato
Rapid cooling of liquids below a certain temperature range can result in a transition to glassy states. The traditional understanding of glasses includes their thermodynamic metast…
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…
Inverse Statistical Mechanics: Probing the Limitations of Isotropic Pair Potentials to Produce Ground-State Structural Extremes
G. Zhang, F. H. Stillinger, S. Torquato
Inverse statistical-mechanical methods have recently been employed to design optimized short-ranged radial (isotropic) pair potentials that robustly produce novel targeted classica…
Precise Algorithm to Generate Random Sequential Addition of Hard Hyperspheres at Saturation
G. Zhang, S. Torquato
Random sequential addition (RSA) time-dependent packing process, in which congruent hard hyperspheres are randomly and sequentially placed into a system without interparticle overl…