This paper presents a statistical description of jammed states in which random close packing can be interpreted as the ground state of the ensemble of jammed matter. The approach demonstrates that random packings of hard spheres in three dimensions cannot exceed a limit of ∼63.4 per cent. A phase diagram provides a common view of the hard sphere packing problem and illuminates various data, including the random loose packing state.
- Chaoming Song
- Ping Wang
- Hernán A. Makse