Jamming in systems composed of frictionless ellipse-shaped particles.

By M. Mailman, C. Schreck, C. O’Hern, Bulbul Chakraborty. 2008

100 citations recorded by the source corpus.

We study numerically frictionless ellipse packings versus the aspect ratio alpha, and find that the jamming transition is fundamentally different from that for spherical particles. The normal mode spectra possess two gaps and three distinct branches over a range of alpha. The energy from deformations along modes in the lowest-energy branch increases quartically, not quadratically. The quartic modes cause novel power-law scaling of the static shear modulus and their number matches the deviation from isostaticity. These results point to a new critical point at alpha>1 that controls jamming of aspherical particles.

Subfields: Atomic and Molecular Physics, and Optics, Materials Chemistry, 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): “[38] Mitch Mailman, Carl F.”
Universality of jamming of nonspherical particles (2018, background): “Numerical results for D(ω) of ellipsoids from (32), of the BP from (45), and analytical results for the perceptron model to be introduced below, are reported in Fig.”
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.”
Hyperuniform states of matter (2018, unknown): “Nonspherical particles that have been studied include ellipsoids [48,259,260,263], ‘‘superballs’’ [48,288,289], ‘‘superellipsoids’’ [290], and polyhedra [270,291–295].”