The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
Geometry of frictionless and frictional sphere packings
Open accessAbstract
We study static packings of frictionless and frictional spheres in three dimensions, obtained via molecular dynamics simulations, in which we vary particle hardness, friction coefficient, and coefficient of restitution. Although frictionless packings of hard spheres are always isostatic (with six contacts) regardless of construction history and restitution coefficient, frictional packings achieve a multitude of hyperstatic packings that depend on system parameters and construction history. Instead of immediately dropping to four, the coordination number reduces smoothly from z=6 as the friction coefficient mu between two particles is increased.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
A discrete numerical model for granular assemblies
Cundall, P. A., & Strack, O. D. L. (1979) · Géotechnique · doi:10.1680/geot.1979.29.1.47 · Cited by 17,527
Cited by
Jamming at zero temperature and zero applied stress: The epitome of disorder
O’Hern, C. S., Silbert, L. E., Liu, A. J., & Nagel, S. R. (2003) · Physical Review E · doi:10.1103/physreve.68.011306 · Cited by 1,599
Self-citationA phase diagram for jammed matter
Song, C., Wang, P., & Makse, H. A. (2008) · Nature · doi:10.1038/nature06981 · Cited by 964
Patterns and collective behavior in granular media: Theoretical concepts
Aranson, I. S., & Tsimring, L. S. (2006) · Reviews of Modern Physics · doi:10.1103/revmodphys.78.641 · Cited by 848
Jammed hard-particle packings: From Kepler to Bernal and beyond
Torquato, S., & Stillinger, F. H. (2010) · Reviews of Modern Physics · doi:10.1103/revmodphys.82.2633 · Cited by 768
Jamming of soft particles: geometry, mechanics, scaling and isostaticity
van Hecke, M. (2010) · Journal of Physics: Condensed Matter · doi:10.1088/0953-8984/22/3/033101 · Cited by 688
Metadata
- Authors
- Silbert, L. E., Ertaş, D., Grest, G. S., Halsey, T. C., & Levine, D.
- Venue
- Physical Review E
- Publisher
- American Physical Society (APS)
- Published
- 2002-02-21
- Volume
- 65
- Issue
- 3
- Pages
- 031304-031304
- ISSN
- 1063-651X (ISSN-L)
- 1095-3787
- OpenAlex
- W2067244488
- Cited by
- 372
- References
- 1
- FWCI
- 19.03
- Type
- journal article
- Language
- en
- Open access
- green
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: Geometry of frictionless and frictional sphere packings. https://app.cochat.ai/papers/10.1103/physreve.65.031304
- The paper
- Silbert, L. E., Ertaş, D., Grest, G. S., Halsey, T. C., & Levine, D. (2002). Geometry of frictionless and frictional sphere packings. Physical Review E. https://doi.org/10.1103/physreve.65.031304
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.