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Article: Singularities and symmetry breaking in swarms

TitleSingularities and symmetry breaking in swarms
Authors
Issue Date2008
PublisherAmerican Physical Society. The Journal's web site is located at http://pre.aps.org
Citation
Physical Review E - Statistical, Nonlinear, And Soft Matter Physics, 2008, v. 77 n. 2 How to Cite?
AbstractA large-scale system consisting of self-propelled particles, moving under the directional alignment rule (DAR), can often self-organize to an ordered state that emerges from an initially rotationally symmetric configuration. It is commonly accepted that the DAR, which leads to effective long-range interactions, is the underlying mechanism contributing to the collective motion. However, in this paper, we demonstrate that a swarm under the DAR has unperceived and inherent singularities. Furthermore, we show that the compelled symmetry-breaking effects at or near the singularities, as well as the topological connectivity of the swarm in the evolution process, contribute fundamentally to the emergence of the collective behavior; and the elimination or weakening of singularities in the DAR will induce an unexpected sharp transition from coherent movement to isotropic dispersion. These results provide some insights into the fundamental issue of collective dynamics: What is the underlying mechanism causing the spontaneous symmetry breaking and leading to eventual coherent motion? © 2008 The American Physical Society.
Persistent Identifierhttp://hdl.handle.net/10722/156945
ISSN
2014 Impact Factor: 2.288
2015 SCImago Journal Rankings: 0.999
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorLi, Wen_US
dc.contributor.authorZhang, HTen_US
dc.contributor.authorChen, MZen_US
dc.contributor.authorZhou, Ten_US
dc.date.accessioned2012-08-08T08:44:39Z-
dc.date.available2012-08-08T08:44:39Z-
dc.date.issued2008en_US
dc.identifier.citationPhysical Review E - Statistical, Nonlinear, And Soft Matter Physics, 2008, v. 77 n. 2en_US
dc.identifier.issn1539-3755en_US
dc.identifier.urihttp://hdl.handle.net/10722/156945-
dc.description.abstractA large-scale system consisting of self-propelled particles, moving under the directional alignment rule (DAR), can often self-organize to an ordered state that emerges from an initially rotationally symmetric configuration. It is commonly accepted that the DAR, which leads to effective long-range interactions, is the underlying mechanism contributing to the collective motion. However, in this paper, we demonstrate that a swarm under the DAR has unperceived and inherent singularities. Furthermore, we show that the compelled symmetry-breaking effects at or near the singularities, as well as the topological connectivity of the swarm in the evolution process, contribute fundamentally to the emergence of the collective behavior; and the elimination or weakening of singularities in the DAR will induce an unexpected sharp transition from coherent movement to isotropic dispersion. These results provide some insights into the fundamental issue of collective dynamics: What is the underlying mechanism causing the spontaneous symmetry breaking and leading to eventual coherent motion? © 2008 The American Physical Society.en_US
dc.languageengen_US
dc.publisherAmerican Physical Society. The Journal's web site is located at http://pre.aps.orgen_US
dc.relation.ispartofPhysical Review E - Statistical, Nonlinear, and Soft Matter Physicsen_US
dc.titleSingularities and symmetry breaking in swarmsen_US
dc.typeArticleen_US
dc.identifier.emailChen, MZ:mzqchen@hku.hken_US
dc.identifier.authorityChen, MZ=rp01317en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.doi10.1103/PhysRevE.77.021920en_US
dc.identifier.scopuseid_2-s2.0-40849145523en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-40849145523&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume77en_US
dc.identifier.issue2en_US
dc.identifier.eissn1550-2376-
dc.identifier.isiWOS:000253763700098-
dc.publisher.placeUnited Statesen_US
dc.identifier.scopusauthoridLi, W=36066858500en_US
dc.identifier.scopusauthoridZhang, HT=7409192616en_US
dc.identifier.scopusauthoridChen, MZ=35085827300en_US
dc.identifier.scopusauthoridZhou, T=8575473800en_US
dc.identifier.citeulike4306209-

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