Stability of jammed packings I: the rigidity length scale
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چکیده
منابع مشابه
Universal microstructure and mechanical stability of jammed packings.
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 tha...
متن کاملMaterial of “ Universal microstructure and mechanical stability of jammed packings ”
Patrick Charbonneau, 2 Eric I. Corwin, Giorgio Parisi, and Francesco Zamponi Department of Chemistry, Duke University, Durham, North Carolina 27708, USA Department of Physics, Duke University, Durham, North Carolina 27708, USA Department of Physics, University of Oregon, Eugene, Oregon 97403, USA Dipartimento di Fisica, Sapienza Universitá di Roma, INFN, Sezione di Roma I, IPFC – CNR, P.le A. M...
متن کاملJammed lattice sphere packings.
We generate and study an ensemble of isostatic jammed hard-sphere lattices. These lattices are obtained by compression of a periodic system with an adaptive unit cell containing a single sphere until the point of mechanical stability. We present detailed numerical data about the densities, pair correlations, force distributions, and structure factors of such lattices. We show that this model re...
متن کاملMarginal stability in jammed packings: quasicontacts and weak contacts.
Maximally random jammed (MRJ) sphere packing is a prototypical example of a system naturally poised at the margin between underconstraint and overconstraint. This marginal stability has traditionally been understood in terms of isostaticity, the equality of the number of mechanical contacts and the number of degrees of freedom. Quasicontacts, pairs of spheres on the verge of coming in contact, ...
متن کاملSparse Locally-jammed Disk Packings
We construct arbitrarily sparse locally-jammed packings of nonoverlapping congruent disks in various finite area regions — in particular, we give constructions for the square, hexagon, and for certain flat tori.
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ژورنال
عنوان ژورنال: Soft Matter
سال: 2013
ISSN: 1744-683X,1744-6848
DOI: 10.1039/c3sm51095f