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Mean field theory of chaotic insect swarms

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dc.affiliation.dptoUC3M. Departamento de Matemáticases
dc.affiliation.grupoinvUC3M. Grupo de Investigación: Modelización, Simulación Numérica y Matemática Industriales
dc.affiliation.institutoUC3M. Instituto Universitario sobre Modelización y Simulación en Fluidodinámica, Nanociencia y Matemática Industrial Gregorio Millán Barbanyes
dc.contributor.authorGonzález Albaladejo, Rafael
dc.contributor.authorLópez Bonilla, Luis Francisco
dc.contributor.funderComunidad de Madrides
dc.contributor.funderMinisterio de Economía y Competitividad (España)es
dc.contributor.funderMinisterio de Ciencia e Innovación (España)es
dc.date.accessioned2023-07-18T10:22:20Z
dc.date.available2023-07-18T10:22:20Z
dc.date.issued2023-06
dc.description.abstractThe harmonically confined Vicsek model displays qualitative and quantitative features observed in natural insect swarms. It exhibits a scale-free transition between single and multicluster chaotic phases. Finite-size scaling indicates that this unusual phase transition occurs at zero confinement [Phys. Rev. E 107, 014209 (2023)]. While the evidence of the scale-free-chaos phase transition comes from numerical simulations, here we present its mean-field theory. Analytically determined critical exponents are those of the Landau theory of equilibrium phase transitions plus dynamical critical exponent z = 1 and a new critical exponent φ = 0.5 for the largest Lyapunov exponent. The phase transition occurs at zero confinement and noise in the mean-field theory. The noise line of zero largest Lyapunov exponents informs observed behavior: (i) the qualitative shape of the swarm (on average, the center of mass rotates slowly at the rate marked by the winding number and its trajectory fills compactly the space, similarly to the observed condensed nucleus surrounded by vapor) and (ii) the critical exponents resemble those observed in natural swarms. Our predictions include power laws for the frequency of the maximal spectral amplitude and the winding number.en
dc.description.sponsorshipThis work has been supported by the FEDER/Ministerio de Ciencia, Innovación y Universidades-Agencia Estatal de Investigación Grants No. PID2020-112796RB-C21 ( R.G.-A.) and No. PID2020-112796RB-C22 (L.L.B.), by the Madrid Government (Comunidad de Madrid-Spain) under the Multiannual Agreement with UC3M in the line of Excellence of University Professors (EPUC3M23), and in the context of the V PRICIT (Regional Programme of Research and Technological Innovation). R.G.-A. acknowledges support from the Ministerio de Economía y Competitividad of Spain through the Formación de Doctores program Grant No. PRE2018-083807 cofinanced by the European Social Fund.en
dc.format.extent6
dc.identifier.bibliographicCitationGonzález-Albaladejo, R., & Bonilla, L. L. (2023). Mean-field theory of chaotic insect swarms. Physical Review E, 107(6), L062601.en
dc.identifier.doihttps://doi.org/10.1103/PhysRevE.107.L062601
dc.identifier.issn2470-0045
dc.identifier.publicationfirstpageL062601-1
dc.identifier.publicationissue6
dc.identifier.publicationlastpageL062601-6
dc.identifier.publicationtitlePhysical Review Een
dc.identifier.publicationvolume107
dc.identifier.urihttps://hdl.handle.net/10016/37881
dc.identifier.uxxiAR/0000033203
dc.language.isoeng
dc.publisherAPSen
dc.relation.projectIDGobierno de España. PID2020-112796RB-C22es
dc.relation.projectIDGobierno de España. PID2020-112796RB-C21es
dc.relation.projectIDGobierno de España. PRE2018-083807es
dc.relation.projectIDComunidad de Madrid. EPUC3M23es
dc.rights© 2023 American Physical Societyen
dc.rights.accessRightsopen accessen
dc.subject.ecienciaBiología y Biomedicinaes
dc.subject.ecienciaFísicaes
dc.subject.ecienciaIngeniería Mecánicaes
dc.subject.ecienciaMatemáticases
dc.subject.ecienciaMaterialeses
dc.subject.ecienciaQuímicaes
dc.subject.otherChaosen
dc.subject.otherCollective behavioren
dc.subject.otherDynamical phase transitionsen
dc.subject.otherNonequilibrium statistical mechanicsen
dc.subject.otherScaling laws of complex systemsen
dc.subject.otherSwarmingen
dc.subject.otherActive matteren
dc.subject.otherCollective dynamicsen
dc.subject.otherTheories of collective dynamics & active matteren
dc.subject.otherVicsek modelen
dc.titleMean field theory of chaotic insect swarmsen
dc.typeresearch article*
dc.type.hasVersionVoR*
dspace.entity.typePublication
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