Linked Life Data

14963324

Source:http://linkedlifedata.com/resource/pubmed/id/14963324

Statements in which the resource exists as a subject.
PredicateObject
rdf:type
lifeskim:mentions
pubmed:issue
5660
pubmed:dateCreated
2004-2-13
pubmed:abstractText
Packing problems, such as how densely objects can fill a volume, are among the most ancient and persistent problems in mathematics and science. For equal spheres, it has only recently been proved that the face-centered cubic lattice has the highest possible packing fraction phi=pi/18 approximately 0.74. It is also well known that certain random (amorphous) jammed packings have phi approximately 0.64. Here, we show experimentally and with a new simulation algorithm that ellipsoids can randomly pack more densely-up to phi= 0.68 to 0.71 for spheroids with an aspect ratio close to that of M&M's Candies-and even approach phi approximately 0.74 for ellipsoids with other aspect ratios. We suggest that the higher density is directly related to the higher number of degrees of freedom per particle and thus the larger number of particle contacts required to mechanically stabilize the packing. We measured the number of contacts per particle Z approximately 10 for our spheroids, as compared to Z approximately 6 for spheres. Our results have implications for a broad range of scientific disciplines, including the properties of granular media and ceramics, glass formation, and discrete geometry.
pubmed:commentsCorrections
pubmed:language
eng
pubmed:journal
pubmed:status
PubMed-not-MEDLINE
pubmed:month
Feb
pubmed:issn
1095-9203
pubmed:author
pubmed:issnType
Electronic
pubmed:day
13
pubmed:volume
303
pubmed:owner
NLM
pubmed:authorsComplete
Y
pubmed:pagination
990-3
pubmed:dateRevised
2007-3-19
pubmed:year
2004
pubmed:articleTitle
Improving the density of jammed disordered packings using ellipsoids.
pubmed:affiliation
Program in Applied and Computational Mathematics, Princeton University, Princeton, NJ 08544, USA.
pubmed:publicationType
Journal Article