Excitations of ellipsoid packings near jamming

By Z. Zeravcic, N. Xu, A. Liu, Sidney R. Nagel, W. V. S. I. Lorentz, Leiden University, The Netherlands., James Franck Institute, D. Physics, U. Chicago and 4 more. 2009

76 citations recorded by the source corpus.

We study the vibrational modes of three-dimensional jammed packings of soft ellipsoids of revolution as a function of particle aspect ratio ε and packing fraction. At the jamming transition for ellipsoids, as distinct from the idealized case using spheres where ε=1, there are many unconstrained and nontrivial rotational degrees of freedom. These constitute a set of zero-frequency modes that are gradually mobilized into a new rotational band as |ε-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, ω*, 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, ω* depends solely on coordination as it does for compressed packings of spheres. We also discuss the regime of large |ε-1|, where the two bands merge.

Subfields: Atomic and Molecular Physics, and Optics, Materials Chemistry, Statistical and Nonlinear Physics, AI for Physical Sciences

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Citations in the corpus

The jamming transition as a paradigm to understand the loss landscape of deep neural networks (2018, background): “Particles of different shapes, such as spheres and ellipses, can lead to different jamming scenarios [37–40].”
Universality of jamming of nonspherical particles (2018, methodology): “Ellipsoids are described by their position xi and by unit vectors ûi along their principal axis, and for concreteness, we model them by the Gay-Berne potential (33, 48):”
Jammed hard-particle packings: From Kepler to Bernal and beyond (2010, background): “The reader is referred to Mailman et al., 2009 and Zeravcic et al., 2009 for studies of the latter type for ellipses and ellipsoids, respectively.”