Perspective: Basic understanding of condensed phases of matter via packing models.

@article{Torquato2018PerspectiveBU,
  title={Perspective: Basic understanding of condensed phases of matter via packing models.},
  author={Salvatore Torquato},
  journal={The Journal of chemical physics},
  year={2018},
  volume={149 2},
  pages={
          020901
        }
}
  • S. Torquato
  • Published 2018
  • Physics, Medicine
  • The Journal of chemical physics
Packing problems have been a source of fascination for millennia and their study has produced a rich literature that spans numerous disciplines. Investigations of hard-particle packing models have provided basic insights into the structure and bulk properties of condensed phases of matter, including low-temperature states (e.g., molecular and colloidal liquids, crystals, and glasses), multiphase heterogeneous media, granular media, and biological systems. The densest packings are of great… Expand
Predicting maximally random jammed packing density of non-spherical hard particles via analytical continuation of fluid equation of state.
TLDR
A formalism for accurately predicting the density ηMRJ of the maximally random jammed (MRJ) packing state of a wide spectrum of congruent non-spherical hard particles in three-dimensional Euclidean space is developed via analytical continuation of the corresponding fluid equation of state (EOS). Expand
Kinetic Frustration Effects on Dense Two-Dimensional Packings of Convex Particles and Their Structural Characteristics.
TLDR
This work determines 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. Expand
The Influence of Softness on the Stability of Binary Colloidal Crystals.
TLDR
It is found that a surprisingly small amount of softness can destabilize dense packings in favor of less densely packed structures, which provides further evidence that considerations beyond packing are necessary for describing many of the observed phases of binary colloidal crystals. Expand
Hard convex lens-shaped particles: Characterization of dense disordered packings.
TLDR
The MRJ state of such optimal lenses is denser (less porous), more disordered, and rattler-free, and this set of characteristics makes them good glass formers. Expand
Methodology to construct large realizations of perfectly hyperuniform disordered packings.
TLDR
It is proved that the constructed packings with a polydispersity in size are perfectly hyperuniform in the infinite-sample-size limit, regardless of particle shapes, positions, and numbers per cell. Expand
Structural Characteristics of a Small Group of Fixed Particles and the Maximum Density of a Random Packing of Hard Spheres
Abstract The definition of random packings of hard spheres, which does not assume any specific features of a short-range order, is considered. The results obtained allow (in particular) us toExpand
Simple fluids, suspensions and selected random systems
Abstract We consider some popular in condensed matter systems, where randomness and internal structure lead to a distinct behavior in various regimes. Crossover and transitions are described forExpand
Jammed hard-sphere hcp crystals permeated with trivacancy tunnels
Supported by simple table-top experiments involving stackings of ball bearings and theoretical analysis, we have discovered crystal packings of identical hard spheres that are permeated by a highExpand
Phase Diagram and Structure Map of Binary Nanoparticle Superlattices from a Lennard-Jones Model.
TLDR
This paper shows that a binary system interacting through Lennard-Jones (LJ) potential contains all experimental phases in which nanoparticles are effectively described as quasi hard spheres, and reports a phase diagram consisting of 53 equilibrium phases, whose stability is quite insensitive to the microscopic details of the potentials, thus giving rise to some type of universality. Expand
Massive replica exchange Monte Carlo algorithm: a tool to access high pressure thermodynamics of hard systems.
TLDR
The replica exchange Monte Carlo algorithm in graphics processing units (GPUs) is massively implemented, in such a way that each GPU core handles a single simulation cell, which yields a very easy scheme to implement parallelization for a very large amount of replicas, which densely sample configuration space. Expand
...
1
2
3
4
5
...

References

SHOWING 1-10 OF 333 REFERENCES
Jamming in hard sphere and disk packings
Hard-particle packings have provided a rich source of outstanding theoretical problems and served as useful starting points to model the structure of granular media, liquids, living cells, glasses,Expand
Multiplicity of Generation, Selection, and Classification Procedures for Jammed Hard-Particle Packings †
TLDR
It is shown that there is a multiplicity of generation, selection, and classification procedures for jammed configurations of identical d-dimensional spheres, and the concept of rigidity percolation can be generalized to network glasses. Expand
Mean-field theory of hard sphere glasses and jamming
Hard spheres are ubiquitous in condensed matter: they have been used as models for liquids, crystals, colloidal systems, granular systems, and powders. Packings of hard spheres are of even widerExpand
A phase diagram for jammed matter
TLDR
This work presents a statistical description of jammed states in which random close packing can be interpreted as the ground state of the ensemble of jammed matter and demonstrates that random packings of hard spheres in three dimensions cannot exceed a density limit of ∼63.4 per cent. Expand
Controlling the Short-Range Order and Packing Densities of Many-Particle Systems†
Questions surrounding the spatial disposition of particles in various condensed-matter systems continue to pose many theoretical challenges. This paper explores the geometric availability ofExpand
Jammed hard-particle packings: From Kepler to Bernal and beyond
This review describes the diversity of jammed configurations attainable by frictionless convex nonoverlapping (hard) particles in Euclidean spaces and for that purpose it stresses individual-packingExpand
A Geometric-Structure Theory for Maximally Random Jammed Packings
TLDR
This work derives for the first time a highly accurate formula for MRJ densities for a very wide class of two-dimensional frictionless packings, namely, binary convex superdisks, with shapes that continuously interpolate between circles and squares, by incorporating specific attributes of MRJ states and a novel organizing principle. Expand
Breakdown of elasticity theory for jammed hard-particle packings: conical nonlinear constitutive theory
Abstract Hard-particle packings have provided a rich source of outstanding theoretical problems and served as useful starting points to model the structure of granular media, liquids, living cells,Expand
Hard-body models of bulk liquid crystals.
TLDR
The different models of hard particles used in the theory of bulk anisotropic liquids, leaving aside interfacial properties, are reviewed and the associated theoretical approaches and computer simulations are discussed, focusing on applications in equilibrium situations. Expand
Existence of isostatic, maximally random jammed monodisperse hard-disk packings
TLDR
Establishing that the MRJ state for monodisperse hard disks is isostatic and qualitatively distinct from commonly observed polycrystalline packings contradicts conventional wisdom and sheds light on the nature of disorder. Expand
...
1
2
3
4
5
...