# Is random close packing of spheres well defined?

@article{Torquato2000IsRC, title={Is random close packing of spheres well defined?}, author={Torquato and Thomas M Truskett and Debenedetti}, journal={Physical review letters}, year={2000}, volume={84 10}, pages={ 2064-7 } }

Despite its long history, there are many fundamental issues concerning random packings of spheres that remain elusive, including a precise definition of random close packing (RCP). We argue that the current picture of RCP cannot be made mathematically precise and support this conclusion via a molecular dynamics study of hard spheres using the Lubachevsky-Stillinger compression algorithm. We suggest that this impasse can be broken by introducing the new concept of a maximally random jammed state… Expand

#### 993 Citations

Random jammed packing of binary hard disks

- Physics
- 2002

The notion of random close packing (RCP) has been utilized as a guiding concept for analysis of randomly packed structure of hard spheres. The concept has been proved to be useful in many practical… Expand

Why is random close packing reproducible?

- Physics, Medicine
- Physical review letters
- 2007

It is conjecture that the common value of phi{rcp} approximately 0.64 arises from a divergence in the rate at which accessible states disappear, which is related to the equation of state for a hard-sphere fluid on a metastable, noncrystalline branch. Expand

Fundamental challenges in packing problems: from spherical to non-spherical particles.

- Physics, Medicine
- Soft matter
- 2014

This 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. Expand

Dense and nearly jammed random packings of freely jointed chains of tangent hard spheres.

- Physics, Medicine
- Physical review letters
- 2008

A structural analysis shows that as the MRJ state is approached the radial distribution function for chains remains distinct from but approaches that of single hard sphere packings quite closely, and chains undergo progressive collapse, and a small but increasing fraction of sites possess highly ordered first coordination shells. Expand

Random close packing fractions of lognormal distributions of hard spheres

- Physics, Chemistry
- 2013

We apply a recent one-dimensional algorithm for predicting random close packing fractions of polydisperse hard spheres [Farr and Groot, J. Chem. Phys. 133, 244104 (2009)] to the case of lognormal… Expand

A phase diagram for jammed matter

- Physics, Medicine
- Nature
- 2008

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

Topological and Geometrical Random Walks on Bidisperse Random Sphere Packings

- Mathematics, Physics
- 2011

Motivated by the problem of predicting the release kinetics of matrix tablets, we study random walks on the contact graph of a random sphere packing of spheres of two sizes. For a random walk on the… Expand

Some Observations on the Random Packing of Hard Ellipsoids

- Mathematics
- 2006

Recent studies of random packing of ellipsoids show a cusplike increase in the packing density as the aspect ratio deviates from 1 (spheres) followed by a maximum and then a strong density decrease… Expand

Existence of isostatic, maximally random jammed monodisperse hard-disk packings

- Engineering, Medicine
- Proceedings of the National Academy of Sciences
- 2014

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

Close packing density of polydisperse hard spheres.

- Physics, Medicine
- The Journal of chemical physics
- 2009

The theory agrees well with the simulations for bidisperse, tridisperse, and log-normal distributions and correctly reproduces the exact limits for large size ratios. Expand

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