Microscopic Mean-Field Theory of the Jamming Transition

作者:Jacquin Hugo*; Berthier Ludovic; Zamponi Francesco
来源:Physical Review Letters, 2011, 106(13): 135702.
DOI:10.1103/PhysRevLett.106.135702

摘要

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 by using equilibrium statistical mechanics and develop a fully microscopic, 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 new predictions for microscopic correlation functions of jammed states that are amenable to experimental verifications and whose accuracy we confirm by using computer simulations.

  • 出版日期2011-3-31