Universal microstructure and mechanical stability of jammed packings.

By Patrick Charbonneau, E. Corwin, Giorgio Parisi, Francesco Zamponi. 2012

126 citations recorded by the source corpus.

The mechanical properties of jammed packings depend sensitively on their detailed local structure. Here we provide a complete characterization of the pair correlation close to contact and of the force distribution of jammed frictionless spheres. In particular we discover a set of new scaling relations that connect the behavior of particles bearing small forces and those bearing no force but that are almost in contact. By performing systematic investigations for spatial dimensions d=3-10, in a wide density range and using different preparation protocols, we show that these scalings are indeed universal. We therefore establish clear milestones for the emergence of a complete microscopic theory of jamming. This description is also crucial for high-precision force experiments in granular systems.

Subfields: Atomic and Molecular Physics, and Optics, Computational Mechanics, Materials Chemistry, AI for Physical Sciences

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Citations in the corpus

Edwards Statistical Mechanics for Jammed Granular Matter (2016, methodology): “(46) The exponent γ has been measured as γ ≈ 0.4 in simulations of hard spheres (Charbonneau et al., 2012; Donev et al., 2005b; Lerner et al., 2013; Skoge et al., 2006) and γ ≈ 0.5 in simulations of stiff soft spheres (O’Hern et al., 2003; Silbert et al., 2002b, 2006).”
Mean-field avalanches in jammed spheres. (2016, background): “Our motivation to re-examine this problem in a general framework comes from the physics of soft spheres, in particular the jamming transition [13, 14, 15, 16, 17], where upon compression from a dilute phase, the system acquires mechanical stability.”
Fractal free energy landscapes in structural glasses (2014, methodology): “They are identified by further compressing the glass up to p = 10(10) [32] and identifying particles with fewer than d + 1 force contacts, i.”
Universality of the SAT-UNSAT (jamming) threshold in non-convex continuous constraint satisfaction problems (2017, result): “Similar results can be obtained upon approaching the jamming transition from the SAT phase, with the only difference that in that case one has to define the forces by separating the positive gaps into those who become contacts at jamming and those who stay positive [9, 25, 38].”