%0 Journal Article
%T A microscopic mean-field theory of the jamming transition
%+ Matière et Systèmes Complexes (MSC)
%+ Laboratoire Charles Coulomb (L2C)
%+ Laboratoire de Physique Théorique de l'ENS [École Normale Supérieure] (LPTENS)
%A Jacquin, Hugo
%A Berthier, Ludovic
%A Zamponi, Francesco
%Z 4 pages, 4 figs Journal: Phys. Rev. Lett. 106, 135702 (2011)
%< avec comité de lecture
%Z L2C:11-068
%@ 0031-9007
%J Physical Review Letters
%I American Physical Society
%V 106
%P 135702
%8 2011-03-31
%D 2011
%Z 1011.5638
%R 10.1103/PhysRevLett.106.135702
%Z Physics [physics]/Condensed Matter [cond-mat]/Statistical Mechanics [cond-mat.stat-mech]Journal articles
%X Dense particle packings acquire rigidity through a nonequilibrium jamming transition commonly observed in materials from emulsions to sandpiles. We describe athermal packings and their observed geometric phase transitions using fully equilibrium statistical mechanics and develop a microscopic many-body mean-field theory of the jamming transition for soft repulsive spherical particles. We derive analytically some of the scaling laws and exponents characterizing the transition and obtain predictions for microscopic correlation functions of jammed states that are amenable to experimental verifications, and whose accuracy we confirm using computer simulations.
%G English
%2 https://hal.science/hal-00597233/document
%2 https://hal.science/hal-00597233/file/1011.5638.pdf
%L hal-00597233
%U https://hal.science/hal-00597233
%~ UNIV-PARIS7
%~ ENS-PARIS
%~ UPMC
%~ CNRS
%~ LPTENS
%~ L2C
%~ PSL
%~ UPMC_POLE_2
%~ MIPS
%~ UNIV-MONTPELLIER
%~ SORBONNE-UNIVERSITE
%~ SU-SCIENCES
%~ UNIV-PARIS
%~ UP-SCIENCES
%~ ENS-PSL
%~ SU-TI
%~ MSC-LAB
%~ ALLIANCE-SU
%~ UM-2015-2021