{"id":"https://openalex.org/W7204831365","doi":"https://doi.org/10.48550/arxiv.2608.28380","title":"Nonholonomic collective flows: velocity--orientation locking in a continuum with microstructure","display_name":"Nonholonomic collective flows: velocity--orientation locking in a continuum with microstructure","publication_year":2026,"publication_date":"2026-08-28","ids":{"openalex":"https://openalex.org/W7204831365","doi":"https://doi.org/10.48550/arxiv.2608.28380"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2608.28380","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.28380","pdf_url":"https://arxiv.org/pdf/2608.28380","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2608.28380","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5041607539","display_name":"Gaetano Napoli","orcid":"https://orcid.org/0000-0002-0539-2686","observed_orcids":["https://orcid.org/0000-0002-0539-2686"]},"institutions":[{"id":"https://openalex.org/I71267560","display_name":"University of Naples Federico II","ror":"https://ror.org/05290cv24","country_code":"IT","type":"education","lineage":["https://openalex.org/I71267560"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Napoli, Gaetano","raw_affiliation_strings":["Dipartimento di Matematica e Applicazioni \"Renato Caccioppoli\" , Universit\u00e0 degli Studi di Napoli \"Federico II\" , Napoli , Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica e Applicazioni \"Renato Caccioppoli\" , Universit\u00e0 degli Studi di Napoli \"Federico II\" , Napoli , Italy","institution_ids":["https://openalex.org/I71267560"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5041607539"],"corresponding_institution_ids":["https://openalex.org/I71267560"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11486","display_name":"Micro and Nano Robotics","score":0.5746999979019165,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11486","display_name":"Micro and Nano Robotics","score":0.5746999979019165,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11379","display_name":"Rheology and Fluid Dynamics Studies","score":0.19670000672340393,"subfield":{"id":"https://openalex.org/subfields/1507","display_name":"Fluid Flow and Transfer Processes"},"field":{"id":"https://openalex.org/fields/15","display_name":"Chemical Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10306","display_name":"Liquid Crystal Research Advancements","score":0.07020000368356705,"subfield":{"id":"https://openalex.org/subfields/2504","display_name":"Electronic, Optical and Magnetic Materials"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/nonholonomic-constraints","display_name":"nonholonomic constraints","score":0.925000011920929},{"id":"https://openalex.org/keywords/continuum-theory","display_name":"continuum theory","score":0.4259999990463257},{"id":"https://openalex.org/keywords/self-propelled-rods","display_name":"self-propelled rods","score":0.6890000104904175},{"id":"https://openalex.org/keywords/flocking","display_name":"flocking","score":0.9350000023841858},{"id":"https://openalex.org/keywords/ericksen-leslie-theory","display_name":"Ericksen-Leslie theory","score":0.8999999761581421},{"id":"https://openalex.org/keywords/nematic-liquid-crystals","display_name":"nematic liquid crystals","score":0.9860000014305115},{"id":"https://openalex.org/keywords/orientational-diffusion","display_name":"orientational diffusion","score":0.7889999747276306},{"id":"https://openalex.org/keywords/active-hydrodynamics","display_name":"active hydrodynamics","score":0.7770000100135803},{"id":"https://openalex.org/keywords/micropolar-fluid","display_name":"micropolar fluid","score":0.8740000128746033},{"id":"https://openalex.org/keywords/bird-flocks","display_name":"bird flocks","score":0.8090000152587891},{"id":"https://openalex.org/keywords/traffic-flow","display_name":"traffic flow","score":0.625},{"id":"https://openalex.org/keywords/principle-of-virtual-power","display_name":"principle of virtual power","score":0.5820000171661377},{"id":"https://openalex.org/keywords/constraint-reactions","display_name":"constraint reactions","score":0.37700000405311584}],"concepts":[{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.6712999939918518},{"id":"https://openalex.org/C138632511","wikidata":"https://www.wikidata.org/wiki/Q2478109","display_name":"Nonholonomic system","level":4,"score":0.5891000032424927},{"id":"https://openalex.org/C173386949","wikidata":"https://www.wikidata.org/wiki/Q192735","display_name":"Inertial frame of reference","level":2,"score":0.5662000179290771},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5152000188827515},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.46380001306533813},{"id":"https://openalex.org/C39920418","wikidata":"https://www.wikidata.org/wiki/Q11476","display_name":"Kinematics","level":2,"score":0.43689998984336853},{"id":"https://openalex.org/C96488702","wikidata":"https://www.wikidata.org/wiki/Q208416","display_name":"Continuum hypothesis","level":2,"score":0.41749998927116394},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.4122999906539917},{"id":"https://openalex.org/C14037181","wikidata":"https://www.wikidata.org/wiki/Q215007","display_name":"Equations of motion","level":2,"score":0.383899986743927},{"id":"https://openalex.org/C175749648","wikidata":"https://www.wikidata.org/wiki/Q1068091","display_name":"Point particle","level":2,"score":0.35179999470710754},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3490000069141388},{"id":"https://openalex.org/C72921944","wikidata":"https://www.wikidata.org/wiki/Q206621","display_name":"Drag","level":2,"score":0.3287000060081482},{"id":"https://openalex.org/C2777984123","wikidata":"https://www.wikidata.org/wiki/Q9248237","display_name":"Pointwise","level":2,"score":0.3230000138282776},{"id":"https://openalex.org/C136560751","wikidata":"https://www.wikidata.org/wiki/Q1144923","display_name":"Virtual work","level":3,"score":0.32019999623298645},{"id":"https://openalex.org/C10899652","wikidata":"https://www.wikidata.org/wiki/Q160329","display_name":"Convection","level":2,"score":0.3181000053882599},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.30480000376701355},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.3046000003814697},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.29170000553131104},{"id":"https://openalex.org/C198082294","wikidata":"https://www.wikidata.org/wiki/Q3399648","display_name":"Position (finance)","level":2,"score":0.28519999980926514},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.28450000286102295},{"id":"https://openalex.org/C196298200","wikidata":"https://www.wikidata.org/wiki/Q577705","display_name":"Critical point (mathematics)","level":2,"score":0.26339998841285706},{"id":"https://openalex.org/C2779886137","wikidata":"https://www.wikidata.org/wiki/Q21030012","display_name":"Symmetry (geometry)","level":2,"score":0.26089999079704285},{"id":"https://openalex.org/C202973686","wikidata":"https://www.wikidata.org/wiki/Q1937401","display_name":"Constitutive equation","level":3,"score":0.2583000063896179},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.25600001215934753},{"id":"https://openalex.org/C4708273","wikidata":"https://www.wikidata.org/wiki/Q900222","display_name":"Quasistatic process","level":2,"score":0.2542000114917755}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2608.28380","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.28380","pdf_url":"https://arxiv.org/pdf/2608.28380","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2608.28380","doi":"https://doi.org/10.48550/arxiv.2608.28380","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2608.28380","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2608.28380","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.28380","pdf_url":"https://arxiv.org/pdf/2608.28380","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7204831365.pdf","grobid_xml":"https://content.openalex.org/works/W7204831365.grobid-xml"},"referenced_works_count":1,"referenced_works":["https://openalex.org/W4415055000"],"related_works":["https://openalex.org/W7160510060","https://openalex.org/W4390918734","https://openalex.org/W1628019803","https://openalex.org/W6922317840","https://openalex.org/W2024664519","https://openalex.org/W1497651515","https://openalex.org/W2971895224","https://openalex.org/W7204221693","https://openalex.org/W2011057666","https://openalex.org/W4393177982"],"abstract_inverted_index":{"We":[0,65],"develop":[1],"a":[2,6,86,139,163,167],"continuum":[3],"theory":[4,93],"for":[5,142],"fluid":[7],"of":[8,25,34,39,70,82,94,156,162,177],"elongated":[9],"particles":[10],"that":[11],"advance":[12],"along":[13],"their":[14],"own":[15],"axes.":[16],"The":[17],"same":[18],"kinematics":[19],"is":[20],"ideally":[21],"shared":[22],"by":[23,90],"flocks":[24,33],"sheep,":[26],"self-propelled":[27],"rods,":[28],"vehicular":[29],"traffic,":[30],"and":[31,72,116,166,187],"turning":[32],"birds.":[35],"Within":[36],"the":[37,54,67,73,76,80,91,101,124,130,152,160,173],"framework":[38],"continua":[40],"with":[41,159],"vectorial":[42],"microstructure,":[43],"in":[44,134,145,190],"which":[45],"each":[46],"point":[47],"also":[48,103,150],"carries":[49],"an":[50,60],"orientation,":[51],"we":[52,98],"impose":[53],"no-side-slip":[55],"(skate)":[56],"condition":[57],"$\\vv=u\\,\\nn$":[58],"as":[59],"ideal,":[61],"non-integrable":[62],"internal":[63],"constraint.":[64],"derive":[66],"pure":[68],"equations":[69],"motion":[71],"equation":[74],"governing":[75],"constraint":[77,102],"reaction":[78],"from":[79],"principle":[81],"virtual":[83],"power.":[84],"Using":[85],"constitutive":[87],"closure":[88],"provided":[89],"Ericksen-Leslie":[92],"nematic":[95],"liquid":[96],"crystals,":[97],"show":[99],"how":[100],"shapes":[104],"collective":[105],"effects.":[106],"It":[107,122,149],"turns":[108],"parabolic":[109],"orientational":[110],"diffusion":[111],"into":[112],"hyperbolic":[113],"orientation-density":[114],"waves":[115],"forbids":[117],"any":[118],"steady":[119],"simple":[120],"shear.":[121],"fixes":[123],"empirical":[125],"Toner-Tu":[126],"convective":[127],"coefficient":[128],"to":[129],"flow-alignment":[131],"ratio":[132],"measured":[133],"colloidal":[135],"rollers,":[136],"thereby":[137],"providing":[138],"mechanical":[140],"foundation":[141],"angular":[143],"sound":[144],"micropolar":[146],"active":[147],"hydrodynamics.":[148],"recovers":[151,172],"inertial":[153],"spin":[154],"model":[155],"bird":[157],"flocks,":[158],"addition":[161],"banking":[164],"force":[165],"turn-density":[168],"coupling.":[169],"Finally,":[170],"it":[171],"classical":[174],"macroscopic":[175],"models":[176],"one-dimensional":[178],"traffic":[179],"flow,":[180],"while":[181],"describing":[182],"steering,":[183],"lateral":[184],"tyre":[185],"forces,":[186],"road":[188],"geometry":[189],"two":[191],"dimensions.":[192]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-09-01T00:00:00"}
