Effect of Topology and Geometric Structure on Collective Motion in the Vicsek Model

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dc.contributor.authorMcClure, James E.en
dc.contributor.authorAbaid, Nicoleen
dc.date.accessioned2022-07-14T13:09:09Zen
dc.date.available2022-07-14T13:09:09Zen
dc.date.issued2022-03-08en
dc.description.abstractIn this work, we explore how the emergence of collective motion in a system of particles is influenced by the structure of their domain. Using the Vicsek model to generate flocking, we simulate two-dimensional systems that are confined based on varying obstacle arrangements. The presence of obstacles alters the topological structure of the domain where collective motion occurs, which, in turn, alters the scaling behavior. We evaluate these trends by considering the scaling exponent and critical noise threshold for the Vicsek model, as well as the associated diffusion properties of the system. We show that obstacles tend to inhibit collective motion by forcing particles to traverse the system based on curved trajectories that reflect the domain topology. Our results highlight key challenges related to the development of a more comprehensive understanding of geometric structure's influence on collective behavior.en
dc.description.notesFunding NA was supported by the National Science Foundation under grant 1751498.en
dc.description.sponsorshipNational Science Foundation [1751498]en
dc.description.versionPublished versionen
dc.format.mimetypeapplication/pdfen
dc.identifier.doihttps://doi.org/10.3389/fams.2022.829005en
dc.identifier.eissn2297-4687en
dc.identifier.other829005en
dc.identifier.urihttp://hdl.handle.net/10919/111243en
dc.identifier.volume8en
dc.language.isoenen
dc.publisherFrontiersen
dc.rightsCreative Commons Attribution 4.0 Internationalen
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/en
dc.subjectanomalous diffusionen
dc.subjectcollective behavioren
dc.subjectEuler characteristicen
dc.subjectintegral geometryen
dc.subjectVicsek modelen
dc.titleEffect of Topology and Geometric Structure on Collective Motion in the Vicsek Modelen
dc.title.serialFrontiers in Applied Mathematics and Statisticsen
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten

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