Universal Relaxation Dynamics of Sphere Packings below Jamming

Atsushi Ikeda, Takeshi Kawasaki, Ludovic Berthier, Kuniyasu Saitoh, Takahiro Hatano

Research output: Contribution to journalArticlepeer-review

18 Citations (Scopus)


We show that non-Brownian suspensions of repulsive spheres below jamming display a slow relaxational dynamics with a characteristic timescale that diverges at jamming. This slow timescale is fully encoded in the structure of the unjammed packing and can be readily measured via the vibrational density of states. We show that the corresponding dynamic critical exponent is the same for randomly generated and sheared packings. Our results show that a wide variety of physical situations, from suspension rheology to algorithmic studies of the jamming transition are controlled by a unique diverging timescale, with a universal critical exponent.

Original languageEnglish
Article number058001
JournalPhysical review letters
Issue number5
Publication statusPublished - 2020 Feb 3

ASJC Scopus subject areas

  • Physics and Astronomy(all)


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