# Excitations of Ellipsoid Packings near Jamming - Condensed Matter > Soft Condensed Matter

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Abstract: We study the vibrational modes of three-dimensional jammed packings of softellipsoids of revolution as a function of particle aspect ratio $\epsilon$ andpacking fraction. At the jamming transition for ellipsoids, as distinct fromthe idealized case using spheres where $\epsilon = 1$, there are manyunconstrained and non-trivial rotational degrees of freedom. These constitute aset of zero-frequency modes that are gradually mobilized into a new rotationalband as $|\epsilon - 1|$ increases. Quite surprisingly, as this new band isseparated from zero frequency by a gap, and lies below the onset frequency fortranslational vibrations, $\omega^*$, the presence of these new degrees offreedom leaves unaltered the basic scenario that the translational spectrum isdetermined only by the average contact number. Indeed, $\omega^*$ dependssolely on coordination as it does for compressed packings of spheres. We alsodiscuss the regime of large $|\epsilon - 1|$, where the two bands merge.

Autor: Z. Zeravcic 1,2, N. Xu 2,3, A. J. Liu 3, S. R. Nagel 2, W. van Saarloos 1 1 Institute Lorentz, Leiden University, The Netherlands

Fuente: https://arxiv.org/