Kinetic Frustration Effects on Dense Two-Dimensional Packings of Convex Particles and Their Structural Characteristics
arXiv:2103.06290 · doi:10.1021/acs.jpcb.1c00497
Abstract
The study of hard-particle packings is of fundamental importance in physics, chemistry, cell biology, and discrete geometry. Much of the previous work on hard-particle packings concerns their densest possible arrangements. By contrast, we examine kinetic effects inevitably present in both numerical and experimental packing protocols. Specifically, we determine how changing the compression/shear rate of a two-dimensional packing of noncircular particles causes it to deviate from its densest possible configuration, which is always periodic. The adaptive shrinking cell (ASC) optimization scheme maximizes the packing fraction of a hard-particle packing by first applying random translations and rotations to the particles and then isotropically compressing and shearing the simulation box repeatedly until a possibly jammed state is reached. We use a stochastic implementation of the ASC optimization scheme to mimic different effective time scales by varying the number of particle moves between compressions/shears. We generate dense, effectively jammed, monodisperse, two-dimensional packings of obtuse scalene triangle, rhombus, curved triangle, lens, and "ice cream cone" (a semicircle grafted onto an isosceles triangle) shaped particles, with a wide range of packing fractions and degrees of order. To quantify these kinetic effects, we introduce the kinetic frustration index , which measures the deviation of a packing from its maximum possible packing fraction. To investigate how kinetics affect short- and long-range ordering in these packings, we compute their spectral densities and characterize their contact networks. We find that kinetic effects are most significant when the particles have greater asphericity, less curvature, and less rotational symmetry. This work may be relevant to the design of laboratory packing protocols.
arXiv comment25 pages, 18 figures
References in corpus (31)
- Jamming at Zero Temperature and Zero Applied Stress: the Epitome of Disorder
- Is Random Close Packing of Spheres Well Defined?
- Jammed Hard-Particle Packings: From Kepler to Bernal and Beyond
- Local Density Fluctuations, Hyperuniformity, and Order Metrics
- Hyperuniform States of Matter
- Dense Packings of the Platonic and Archimedean Solids
- Pair Correlation Function Characteristics of Nearly Jammed Disordered and Ordered Hard-Sphere Packings
- Superdense Crystal Packings of Ellipsoids
- Unexpected Density Fluctuations in Jammed Disordered Sphere Packings
- Hyperuniformity in point patterns and two-phase random heterogeneous media
- Dense Packings of Polyhedra: Platonic and Archimedean Solids
- Hyperuniform long-range correlations are a signature of disordered jammed hard-particle packings
- Statistical Mechanics of Stress Transmission in Disordered Granular Arrays
- Dense Regular Packings of Irregular Non-Convex Particles
- Basic Understanding of Condensed Phases of Matter via Packing Models
- Robust Algorithm to Generate a Diverse Class of Dense Disordered and Ordered Sphere Packings via Linear Programming
- Designing Disordered Hyperuniform Two-Phase Materials with Novel Physical Properties
- Novel Features Arising in the Maximally Random Jammed Packings of Superballs
- Do Binary Hard Disks Exhibit an Ideal Glass Transition?
- Critical slowing down and hyperuniformity on approach to jamming
- Hyperuniformity, quasi-long-range correlations, and void-space constraints in maximally random jammed particle packings. I. Polydisperse spheres
- Equilibrium Phase Behavior and Maximally Random Jammed State of Truncated Tetrahedra
- Phase diagram of two-dimensional hard ellipses
- Organizing Principles for Dense Packings of Nonspherical Hard Particles: Not All Shapes Are Created Equal
- Exact Constructions of a Family of Dense Periodic Packings of Tetrahedra
- Maximally dense packings of two-dimensional convex and concave noncircular particles
- Hyperuniformity, quasi-long-range correlations, and void-space constraints in maximally random jammed particle packings. II. Anisotropy in particle shape
- Dynamical self-assembly of dipolar active Brownian particles in two dimensions
- A geometric-Structure Theory for maximally Random Jammed Packings
- Jamming transition in non-spherical particle systems: pentagons vs. disks
- Hard convex lens-shaped particles: Characterization of dense disordered packings