Nonuniversality of density and disorder in jammed sphere packings. Jiao, Y., Stillinger, F., H., & Torquato, S. JOURNAL OF APPLIED PHYSICS, AMER INST PHYSICS, 1, 2011.
abstract   bibtex   
We show for the first time that collectively jammed disordered packings of three-dimensional monodisperse frictionless hard spheres can be produced and tuned using a novel numerical protocol with packing density phi as low as 0.6. This is well below the value of 0.64 associated with the maximally random jammed state and entirely unrelated to the ill-defined ``random loose packing'' state density. Specifically, collectively jammed packings are generated with a very narrow distribution centered at any density phi over a wide density range phi is an element of (0.6, 0.740 48 ... ) with variable disorder. Our results support the view that there is no universal jamming point that is distinguishable based on the packing density and frequency of occurrence. Our jammed packings are mapped onto a density-order-metric plane, which provides a broader characterization of packings than density alone. Other packing characteristics, such as the pair correlation function, average contact number, and fraction of rattlers are quantified and discussed. (C) 2011 American Institute of Physics. [doi:10.1063/1.3524489]
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 title = {Nonuniversality of density and disorder in jammed sphere packings},
 type = {article},
 year = {2011},
 identifiers = {[object Object]},
 volume = {109},
 month = {1},
 publisher = {AMER INST PHYSICS},
 city = {CIRCULATION & FULFILLMENT DIV, 2 HUNTINGTON QUADRANGLE, STE 1 N O 1, MELVILLE, NY 11747-4501 USA},
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 abstract = {We show for the first time that collectively jammed disordered packings
of three-dimensional monodisperse frictionless hard spheres can be
produced and tuned using a novel numerical protocol with packing density
phi as low as 0.6. This is well below the value of 0.64 associated with
the maximally random jammed state and entirely unrelated to the
ill-defined ``random loose packing'' state density. Specifically,
collectively jammed packings are generated with a very narrow
distribution centered at any density phi over a wide density range phi
is an element of (0.6, 0.740 48 ... ) with variable disorder. Our
results support the view that there is no universal jamming point that
is distinguishable based on the packing density and frequency of
occurrence. Our jammed packings are mapped onto a density-order-metric
plane, which provides a broader characterization of packings than
density alone. Other packing characteristics, such as the pair
correlation function, average contact number, and fraction of rattlers
are quantified and discussed. (C) 2011 American Institute of Physics.
[doi:10.1063/1.3524489]},
 bibtype = {article},
 author = {Jiao, Yang and Stillinger, Frank H and Torquato, Salvatore},
 journal = {JOURNAL OF APPLIED PHYSICS},
 number = {1}
}

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