Physics – Condensed Matter – Materials Science
Scientific paper
2006-08-15
Physics
Condensed Matter
Materials Science
33 pages, third revision
Scientific paper
10.1103/PhysRevE.75.051304
Continuing on recent computational and experimental work on jammed packings of hard ellipsoids [Donev et al., Science, vol. 303, 990-993] we consider jamming in packings of smooth strictly convex nonspherical hard particles. We explain why the isocounting conjecture, which states that for large disordered jammed packings the average contact number per particle is twice the number of degrees of freedom per particle (\bar{Z}=2d_{f}), does not apply to nonspherical particles. We develop first- and second-order conditions for jamming, and demonstrate that packings of nonspherical particles can be jammed even though they are hypoconstrained (\bar{Z}<2d_{f}). We apply an algorithm using these conditions to computer-generated hypoconstrained ellipsoid and ellipse packings and demonstrate that our algorithm does produce jammed packings, even close to the sphere point. We also consider packings that are nearly jammed and draw connections to packings of deformable (but stiff) particles. Finally, we consider the jamming conditions for nearly spherical particles and explain quantitatively the behavior we observe in the vicinity of the sphere point.
Connelly Robert
Donev Aleksandar
Stillinger Frank H.
Torquato Salvatore
No associations
LandOfFree
Hypoconstrained Jammed Packings of Nonspherical Hard Particles: Ellipses and Ellipsoids does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Hypoconstrained Jammed Packings of Nonspherical Hard Particles: Ellipses and Ellipsoids, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Hypoconstrained Jammed Packings of Nonspherical Hard Particles: Ellipses and Ellipsoids will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-99481