Entropy of jammed matter

Christopher Briscoe, Chaoming Song, Ping Wang, Hernán A. Makse

Research output: Contribution to journalArticlepeer-review

47 Scopus citations


We investigate the nature of randomness in disordered packings of frictional spheres. We calculate the entropy of 3D packings through the force and volume ensemble of jammed matter, a mesoscopic ensemble and numerical simulations using volume fluctuation analysis and graph theoretical methods. Equations of state are obtained relating entropy, volume fraction and compactivity characterizing the different states of jammed matter. At the mesoscopic level the entropy vanishes at random close packing, while the microscopic states contribute to a finite entropy. The entropy of the jammed system reveals that the random loose packings are more disordered than random close packings, allowing for an unambiguous interpretation of both limits.

Original languageEnglish (US)
Article number188001
JournalPhysical Review Letters
Issue number18
StatePublished - Oct 31 2008
Externally publishedYes

ASJC Scopus subject areas

  • Physics and Astronomy(all)


Dive into the research topics of 'Entropy of jammed matter'. Together they form a unique fingerprint.

Cite this