89 citations · 335 across the 8 of their papers we have counts for
8 papers
Critical slowing down and hyperuniformity on approach to jamming
Steven Atkinson, Ge Zhang, Adam B. Hopkins +1
Hyperuniformity characterizes a state of matter that is poised at a critical point at which density or volume-fraction fluctuations are anomalously suppressed at infinite wavelengt…
Nonequilibrium static diverging length scales on approaching a prototypical model glassy state
Adam B. Hopkins, Frank H. Stillinger, Salvatore Torquato
Maximally random jammed states of hard spheres are prototypical glasses. We study the small wavenumber behavior of the structure factor of overcompressed million-sphere…
Densest binary sphere packings
Adam B. Hopkins, Frank H. Stillinger, Salvatore Torquato
The densest binary sphere packings in the alpha-x plane of small to large sphere radius ratio alpha and small sphere relative concentration x have historically been very difficult…
Phase diagram and structural diversity of the densest binary sphere packings
Adam B. Hopkins, Yang Jiao, Frank H. Stillinger +1
The densest binary sphere packings have historically been very difficult to determine. The only rigorously known packings in the alpha-x plane of sphere radius ratio alpha and rela…
Densest local packing diversity. II. Application to three dimensions
Adam B. Hopkins, Frank H. Stillinger, Salvatore Torquato
The densest local packings of N three-dimensional identical nonoverlapping spheres within a radius Rmin(N) of a fixed central sphere of the same size are obtained for selected valu…
Spherical codes, maximal local packing density, and the golden ratio
A. B. Hopkins, F. H. Stillinger, S. Torquato
The densest local packing (DLP) problem in d-dimensional Euclidean space Rd involves the placement of N nonoverlapping spheres of unit diameter near an additional fixed unit-diamet…