Excitations of Ellipsoid Packings near Jamming

Details Excitations of Ellipsoid Packings near Jamming Excitations of Ellipsoid Packings near Jamming

2009-04-09

arxiv.org/abs/0904.1558v2

Physics

Condensed Matter

Soft Condensed Matter

6 pages, 4 figures

Scientific paper

10.1209/0295-5075/87/26001

We study the vibrational modes of three-dimensional jammed packings of soft ellipsoids of revolution as a function of particle aspect ratio $\epsilon$ and packing fraction. At the jamming transition for ellipsoids, as distinct from the idealized case using spheres where $\epsilon = 1$, there are many unconstrained and non-trivial rotational degrees of freedom. These constitute a set of zero-frequency modes that are gradually mobilized into a new rotational band as $|\epsilon - 1|$ increases. Quite surprisingly, as this new band is separated from zero frequency by a gap, and lies below the onset frequency for translational vibrations, $\omega^*$, the presence of these new degrees of freedom leaves unaltered the basic scenario that the translational spectrum is determined only by the average contact number. Indeed, $\omega^*$ depends solely on coordination as it does for compressed packings of spheres. We also discuss the regime of large $|\epsilon - 1|$, where the two bands merge.

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