Testing mean-field theory for jamming of non-spherical particles: Contact number, gap distribution, and vibrational density of states
arXiv:2012.07294 · doi:10.1140/epje/s10189-021-00116-8
Abstract
We perform numerical simulations of the jamming transition of non-spherical particles in two dimensions. In particular, we systematically investigate how the physical quantities at the jamming transition point behave when the shapes of the particle deviate slightly from the perfect disks. For efficient numerical simulation, we first derive an analytical expression of the gap function, using the perturbation theory around the reference disks. Starting from disks, we observe the effects of the deformation of the shapes of particles by the -th order term of the Fourier series . We show that the several physical quantities, such as the number of contacts, gap distribution, and characteristic frequencies of the vibrational density of states, show the power-law behaviors with respect to the linear deviation from the reference disks. The power-law behaviors do not depend on and are fully consistent with the mean-field theory of the jamming of non-spherical particles. This result suggests that the mean-field theory holds very generally for nearly spherical particles whose shape can be expressed by the Fourier series.
arXiv comment11 pages, 13 figures, to submit to EPJ E Topical Issue: Disordered, non-equilibrium systems: From supercooled liquids to amorphous solids
References in corpus (25)
- Jamming at Zero Temperature and Zero Applied Stress: the Epitome of Disorder
- Fractal free energy landscapes in structural glasses
- Effects of compression on the vibrational modes of marginally jammed solids
- Pair Correlation Function Characteristics of Nearly Jammed Disordered and Ordered Hard-Sphere Packings
- Hypoconstrained Jammed Packings of Nonspherical Hard Particles: Ellipses and Ellipsoids
- Stress-strain behavior and geometrical properties of packings of elongated particles
- Finite-Size Scaling at the Jamming Transition
- Universal microstructure and mechanical stability of jammed packings
- Jamming in Systems Composed of Frictionless Ellipse-Shaped Particles
- The distribution of forces affects vibrational properties in hard sphere glasses
- Novel Features Arising in the Maximally Random Jammed Packings of Superballs
- Excitations of Ellipsoid Packings near Jamming
- Spatial structure of quasi-localized vibrations in nearly jammed amorphous solids
- Hypostatic jammed packings of frictionless nonspherical particles
- Finite-Size-Scaling at the Jamming Transition: Corrections to Scaling and the Correlation Length Critical Exponent
- Universality of jamming of non-spherical particles
- Constraints and vibrations in static packings of ellipsoidal particles
- On Variational Arguments for Vibrational Modes near Jamming
- Compression Driven Jamming of Athermal Frictionless Spherocylinders in Two Dimensions
- Dynamics of a deformable active particle under shear flow
- Jamming with tunable roughness
- Jamming below upper critical dimension
- Mean field theory of jamming of nonspherical particles
- Vibrational properties of two-dimensional dimer packings near the jamming transition
- Infinitesimal asphericity changes the universality of the jamming transition