Jammed lattice sphere packings

Yoav Kallus, Étienne Marcotte, Salvatore Torquato
2013 Physical Review E  
We generate and study an ensemble of isostatic jammed hard-sphere lattices. These lattices are obtained by compression of a periodic system with an adaptive unit cell containing a single sphere until the point of mechanical stability. We present detailed numerical data about the densities, pair correlations, force distributions, and structure factors of such lattices. We show that this model retains many of the crucial structural features of the classical hard-sphere model and propose it as a
more » ... del for the jamming and glass transitions that enables exploration of much higher dimensions than are usually accessible.
doi:10.1103/physreve.88.062151 pmid:24483429 fatcat:geokom5hazeg3e6actgd33qx2u