Geometry of Frictionless and Frictional Sphere Packings

Details Geometry of Frictionless and Frictional Sphere Packings Geometry of Frictionless and Frictional Sphere Packings

2001-11-08

arxiv.org/abs/cond-mat/0111140v1

Physics

Condensed Matter

Soft Condensed Matter

6 pages, 9 figures, submitted to Phys. Rev. E

Scientific paper

10.1103/PhysRevE.65.031304

We study static packings of frictionless and frictional spheres in three dimensions, obtained via molecular dynamics simulations, in which we vary particle hardness, friction coefficient, and coefficient of restitution. Although frictionless packings of hard-spheres are always isostatic (with six contacts) regardless of construction history and restitution coefficient, frictional packings achieve a multitude of hyperstatic packings that depend on system parameters and construction history. Instead of immediately dropping to four, the coordination number reduces smoothly from $z=6$ as the friction coefficient $\mu$ between two particles is increased.

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