Jammed lattice sphere packings.
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 model for the jamming and glass transitions that enables exploration of much higher dimensions than are usually accessible.
Princeton Center for Theoretical Science, Princeton University, Princeton, New Jersey 08544, USA.
Yoav
Y
Kallus
Department of Physics, Princeton University, Princeton, New Jersey 08544, USA.
Étienne
É
Marcotte
Department of Physics, Princeton University, Princeton, New Jersey 08544, USA and Department of Chemistry, Princeton University, Princeton, New Jersey 08544, USA and Program in Applied and Computational Mathematics, Princeton University, Princeton, New Jersey 08544, USA and Princeton Institute of the Science and Technology of Materials, Princeton University, Princeton, New Jersey 08544, USA.
Salvatore
S
Torquato