منابع مشابه
Periodic Planar Disk Packings
Several conditions are given when a packing of equal disks in a torus is locally maximally dense, where the torus is defined as the quotient of the plane by a two-dimensional lattice. Conjectures are presented that claim that the density of any strictly jammed packings, whose graph does not consist of all triangles and the torus lattice is the standard triangular lattice, is at most n n+1 π √ 1...
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.
متن کاملJamming in Hard Sphere and Disk Packings
Aleksandar Donev, 2 Salvatore Torquato, 3, ∗ Frank H. Stillinger, and Robert Connelly Program in Applied and Computational Mathematics, Princeton University, Princeton NJ 08544 Princeton Materials Institute, Princeton University, Princeton NJ 08544 Department of Chemistry, Princeton University, Princeton NJ 08544 Department of Mathematics, Cornell University, Ithaca NY 14853 (Dated: 24th Octobe...
متن کاملFrequency distribution of mechanically stable disk packings.
Relative frequencies of mechanically stable (MS) packings of frictionless bidisperse disks are studied numerically in small systems. The packings are created by successively compressing or decompressing a system of soft purely repulsive disks, followed by energy minimization, until only infinitesimal particle overlaps remain. For systems of up to 14 particles, most of the MS packings were gener...
متن کاملConstraints and vibrations in static packings of ellipsoidal particles.
We numerically investigate the mechanical properties of static packings of frictionless ellipsoidal particles in two and three dimensions over a range of aspect ratio and compression Δφ. While amorphous packings of spherical particles at jamming onset (Δφ=0) are isostatic and possess the minimum contact number z_{iso} required for them to be collectively jammed, amorphous packings of ellipsoida...
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ژورنال
عنوان ژورنال: Granular Matter
سال: 2004
ISSN: 1434-5021,1434-7636
DOI: 10.1007/s10035-004-0156-z