Mean-field model for nematic alignment of self-propelled rods

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dc.citation.articleNumber034613en_US
dc.citation.issueNumber3en_US
dc.citation.journalTitlePhysical Review Een_US
dc.citation.volumeNumber106en_US
dc.contributor.authorPerepelitsa, Mishaen_US
dc.contributor.authorTimofeyev, Ilyaen_US
dc.contributor.authorMurphy, Patricken_US
dc.contributor.authorIgoshin, Oleg A.en_US
dc.contributor.orgBioengineeringen_US
dc.contributor.orgBiosciencesen_US
dc.contributor.orgChemistryen_US
dc.contributor.orgCenter for Theoretical Biological Physicsen_US
dc.date.accessioned2022-10-28T17:43:02Zen_US
dc.date.available2022-10-28T17:43:02Zen_US
dc.date.issued2022en_US
dc.description.abstractSelf-propelled rods are a facet of the field of active matter relevant to many physical systems ranging in scale from shaken granular media and bacterial alignment to the flocking dynamics of animals. In this paper we develop a model for nematic alignment of self-propelled rods interacting through binary collisions. We avoid phenomenological descriptions of rod interaction in favor of rigorously using a set of microscopic-level rules. Under the assumption that each collision results in a small change to a rod's orientation, we derive the Fokker-Planck equation for the evolution of the kinetic density function. Using analytical and numerical methods, we study the emergence of the nematic order from a homogeneous, uniform steady state of the mean-field equation. We compare the level of orientational noise needed to destabilize this nematic order and compare our results to an existing phenomenological model that does not explicitly account for the physical collisions of rods. We show the presence of an additional geometric factor in our equations reflecting a reduced collision rate between nearly aligned rods that reduces the level of noise at which nematic order is destroyed, suggesting that alignment that depends on purely physical collisions is less robust.en_US
dc.identifier.citationPerepelitsa, Misha, Timofeyev, Ilya, Murphy, Patrick, et al.. "Mean-field model for nematic alignment of self-propelled rods." <i>Physical Review E,</i> 106, no. 3 (2022) American Physical Society: https://doi.org/10.1103/PhysRevE.106.034613.en_US
dc.identifier.digitalPhysRevE-106-034613en_US
dc.identifier.doihttps://doi.org/10.1103/PhysRevE.106.034613en_US
dc.identifier.urihttps://hdl.handle.net/1911/113766en_US
dc.language.isoengen_US
dc.publisherAmerican Physical Societyen_US
dc.rightsArticle is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.en_US
dc.titleMean-field model for nematic alignment of self-propelled rodsen_US
dc.typeJournal articleen_US
dc.type.dcmiTexten_US
dc.type.publicationpublisher versionen_US
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