Two Diverging Length Scales in the Structure of Jammed Packings

Daniel Hexner, Andrea J. Liu, Sidney R. Nagel

Research output: Contribution to journalArticlepeer-review


At densities higher than the jamming transition for athermal, frictionless repulsive spheres we find two distinct length scales, both of which diverge as a power law as the transition is approached. The first, ξZ, is associated with the two-point correlation function for the number of contacts on two particles as a function of the particle separation. The second, ξf, is associated with contact-number fluctuations in subsystems of different sizes. On scales below ξf, the fluctuations are highly suppressed, similar to the phenomenon of hyperuniformity usually associated with density fluctuations. The exponents for the divergence of ξZ and ξf are different and appear to be different in two and three dimensions.

Original languageEnglish
Article number115501
JournalPhysical Review Letters
Issue number11
StatePublished - 11 Sep 2018
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)


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