%0 Journal Article %T Universal relaxation dynamics of sphere packings below jamming %+ Graduate School of Arts and Sciences [Tokyo, Japan] (Life Sciences) %+ Universal Biology Institute %+ Nagoya City University [Nagoya, Japan] %+ Laboratoire Charles Coulomb (L2C) %+ Research Center for Pure and Applied Mathematics, GSIS, Tohoku University (GSIS Mathematics) %+ Osaka University [Osaka] %A Ikeda, Atsushi %A Kawasaki, Takeshi %A Berthier, Ludovic %A Saitoh, Kuniyasu %A Hatano, Takahiro %< avec comité de lecture %Z L2C:20-043 %@ 0031-9007 %J Physical Review Letters %I American Physical Society %P 058001 %8 2020-05-15 %D 2020 %Z 1904.07359 %R 10.1103/PhysRevLett.124.058001 %Z Physics [physics]/Condensed Matter [cond-mat]/Soft Condensed Matter [cond-mat.soft] %Z Physics [physics]/Condensed Matter [cond-mat]/Disordered Systems and Neural Networks [cond-mat.dis-nn]Journal articles %X We show that non-Brownian suspensions of repulsive spheres below jamming display a slow relaxational dynamics with a characteristic time scale that diverges at jamming. This slow time scale 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. %G English %2 https://hal.science/hal-02591059/document %2 https://hal.science/hal-02591059/file/1904.07359.pdf %L hal-02591059 %U https://hal.science/hal-02591059 %~ CNRS %~ L2C %~ MIPS %~ UNIV-MONTPELLIER %~ TEST-HALCNRS %~ UM-2015-2021