Fundamental challenges in packing problems: from spherical to non-spherical particles
arXiv:1402.5895 · doi:10.1039/c3sm52783b
Abstract
Random packings of objects of a particular shape are ubiquitous in science and engineering. However, such jammed matter states have eluded any systematic theoretical treatment due to the strong positional and orientational correlations involved. In recent years progress on a fundamental description of jammed matter could be made by starting from a constant volume ensemble in the spirit of conventional statistical mechanics. Recent work has shown that this approach, first introduced by S. F. Edwards more than two decades ago, can be cast into a predictive framework to calculate the packing fractions of both spherical and non-spherical particles.
Highlight article in Soft Matter
References in corpus (12)
- Packing Hyperspheres in High-Dimensional Euclidean Spaces
- Hypoconstrained Jammed Packings of Nonspherical Hard Particles: Ellipses and Ellipsoids
- Why is Random Close Packing Reproducible?
- Stationary state volume fluctuations in a granular medium
- Jamming versus Glass Transitions
- A Landscape Analysis of Constraint Satisfaction Problems
- Entropy and Temperature of a Static Granular Assembly
- Understanding the Frequency Distribution of Mechanically Stable Disk Packings
- Thermodynamics and Statistical Mechanics of dense granular media
- Random close packing of granular matter
- Combining tomographic imaging and DEM simulations to investigate the structure of experimental sphere packings
- Application of Edwards' statistical mechanics to high dimensional jammed sphere packings
Cited by in corpus (24)
- Adhesive Loose Packings of Small Particles
- Local origin of global contact numbers in frictional ellipsoid packings
- Analyzing X-Ray tomographies of granular packings
- Percolation of disordered jammed sphere packings
- Equation of state for random sphere packing with arbitrary adhesion and friction
- Effect of long-range repulsive Coulomb interactions on packing structure of adhesive particles
- In a search for a shape maximizing packing fraction for two-dimensional random sequential adsorption
- Shape universality classes in the random sequential addition of non-spherical particles
- Flow and rheology of frictional elongated grains
- The random packing density of nearly spherical particles
- Shapes for maximal coverage for two-dimensional random sequential adsorption
- Statistical theory of correlations in random packings of hard particles
- Algorithms to generate saturated random sequential adsorption packings built of rounded polygons
- Two-dimensional systems of elongated particles: From diluted to dense
- Random sequential adsorption of particles with tetrahedral symmetry
- A local view on the role of friction and shape
- Universal behaviour of the glass and the jamming transitions in finite dimensions
- Particle-scale modeling of the drying characteristics of colloidal suspensions
- Shear thickening of suspensions of dimeric particles
- Packing Concave Molecules in Crystals and Amorphous Solids: On the Connection between Shape and Local Structure
- Structural analysis of disordered dimer packings
- Examination of saturation coverage of polygons using random sequential adsorption algorithm
- Local analysis of the history dependence in tetrahedra packings
- Frequency-dependent attenuation and elasticity in unconsolidated earth materials: effect of damping