The DOI matches its Crossref record; 2 of the 2 references it cites were found in a registry or an index.
Self-Propelled Particles with Soft-Core Interactions: Patterns, Stability, and Collapse
Abstract
Understanding collective properties of driven particle systems is significant for naturally occurring aggregates and because the knowledge gained can be used as building blocks for the design of artificial ones. We model self-propelling biological or artificial individuals interacting through pairwise attractive and repulsive forces. For the first time, we are able to predict stability and morphology of organization starting from the shape of the two-body interaction. We present a coherent theory, based on fundamental statistical mechanics, for all possible phases of collective motion.
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
Self-Organization in Biological Systems
Sneyd, J., Theraula, G., Bonabeau, E., Deneubourg, J.-L., & Franks, N. R. (2001) · doi:10.1515/9780691212920 · Cited by 2,949
Effective leadership and decision-making in animal groups on the move
Couzin, I. D., Krause, J., Franks, N. R., & Levin, S. A. (2005) · Nature · doi:10.1038/nature03236 · Cited by 2,753
Cited by
Cucker–Smale Flocking under Hierarchical Leadership
Shen, J. (. (2008) · SIAM Journal on Applied Mathematics · doi:10.1137/060673254 · Cited by 304
Collective Motion due to Individual Escape and Pursuit Response
Romanczuk, P., Couzin, I. D., & Schimansky-Geier, L. (2009) · Physical Review Letters · doi:10.1103/physrevlett.102.010602 · Cited by 277
Metadata
- Authors
- D’Orsogna, M. R., Chuang, Y. L., Bertozzi, A. L., & Chayes, L. S.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2006-03-17
- Volume
- 96
- Issue
- 10
- Pages
- 104302-104302
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2157942701
- Cited by
- 591
- References
- 2
- FWCI
- 18.06
- Type
- journal article
- Language
- en
- Open access
- closed
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: Self-Propelled Particles with Soft-Core Interactions: Patterns, Stability, and Collapse. https://app.cochat.ai/papers/10.1103/physrevlett.96.104302
- The paper
- D’Orsogna, M. R., Chuang, Y. L., Bertozzi, A. L., & Chayes, L. S. (2006). Self-Propelled Particles with Soft-Core Interactions: Patterns, Stability, and Collapse. Physical Review Letters. https://doi.org/10.1103/physrevlett.96.104302
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.