{"id":"https://openalex.org/W4388111468","doi":"https://doi.org/10.1137/22m148776x","title":"Derivation of an Effective Rheology for Dilute Suspensions of Microswimmers","display_name":"Derivation of an Effective Rheology for Dilute Suspensions of Microswimmers","publication_year":2023,"publication_date":"2023-11-01","ids":{"openalex":"https://openalex.org/W4388111468","doi":"https://doi.org/10.1137/22m148776x"},"language":"en","primary_location":{"id":"doi:10.1137/22m148776x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m148776x","pdf_url":null,"source":{"id":"https://openalex.org/S74141806","display_name":"SIAM Journal on Mathematical Analysis","issn_l":"0036-1410","issn":["0036-1410","1095-7154"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Mathematical Analysis","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5051420520","display_name":"Alexandre Girodroux-Lavigne","orcid":"https://orcid.org/0000-0001-7797-1081"},"institutions":[{"id":"https://openalex.org/I204730241","display_name":"Universit\u00e9 Paris Cit\u00e9","ror":"https://ror.org/05f82e368","country_code":"FR","type":"education","lineage":["https://openalex.org/I204730241"]},{"id":"https://openalex.org/I4210091437","display_name":"Sorbonne Paris Cit\u00e9","ror":"https://ror.org/001z21q04","country_code":"FR","type":"other","lineage":["https://openalex.org/I4210091437"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Alexandre Girodroux-Lavigne","raw_affiliation_strings":["IMJ-PRG, Universit\u00e9 Paris-Cit\u00e9, 75013 Paris, France"],"affiliations":[{"raw_affiliation_string":"IMJ-PRG, Universit\u00e9 Paris-Cit\u00e9, 75013 Paris, France","institution_ids":["https://openalex.org/I204730241","https://openalex.org/I4210091437"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5051420520"],"corresponding_institution_ids":["https://openalex.org/I204730241","https://openalex.org/I4210091437"],"apc_list":null,"apc_paid":null,"fwci":1.156,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.77063083,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":"55","issue":"6","first_page":"6305","last_page":"6341"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11486","display_name":"Micro and Nano Robotics","score":1.0,"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":1.0,"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/T12784","display_name":"Modular Robots and Swarm Intelligence","score":0.9886000156402588,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T13052","display_name":"Molecular Communication and Nanonetworks","score":0.988099992275238,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/rheology","display_name":"Rheology","score":0.8091049194335938},{"id":"https://openalex.org/keywords/term","display_name":"Term (time)","score":0.6739240884780884},{"id":"https://openalex.org/keywords/viscosity","display_name":"Viscosity","score":0.6441977620124817},{"id":"https://openalex.org/keywords/forcing","display_name":"Forcing (mathematics)","score":0.6053730845451355},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.5801452994346619},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.48923635482788086},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.4629974961280823},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.42669016122817993},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.38336917757987976},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3361448049545288},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.17703300714492798}],"concepts":[{"id":"https://openalex.org/C200990466","wikidata":"https://www.wikidata.org/wiki/Q271707","display_name":"Rheology","level":2,"score":0.8091049194335938},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.6739240884780884},{"id":"https://openalex.org/C127172972","wikidata":"https://www.wikidata.org/wiki/Q128709","display_name":"Viscosity","level":2,"score":0.6441977620124817},{"id":"https://openalex.org/C197115733","wikidata":"https://www.wikidata.org/wiki/Q1003136","display_name":"Forcing (mathematics)","level":2,"score":0.6053730845451355},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.5801452994346619},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.48923635482788086},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.4629974961280823},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.42669016122817993},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.38336917757987976},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3361448049545288},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.17703300714492798},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/22m148776x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m148776x","pdf_url":null,"source":{"id":"https://openalex.org/S74141806","display_name":"SIAM Journal on Mathematical Analysis","issn_l":"0036-1410","issn":["0036-1410","1095-7154"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Mathematical Analysis","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Clean water and sanitation","score":0.5899999737739563,"id":"https://metadata.un.org/sdg/6"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":57,"referenced_works":["https://openalex.org/W227143473","https://openalex.org/W1539356813","https://openalex.org/W1924494523","https://openalex.org/W1988585128","https://openalex.org/W1995706406","https://openalex.org/W2003815346","https://openalex.org/W2016753586","https://openalex.org/W2037670315","https://openalex.org/W2038953393","https://openalex.org/W2048167855","https://openalex.org/W2067294613","https://openalex.org/W2068587972","https://openalex.org/W2069079436","https://openalex.org/W2074201655","https://openalex.org/W2075504270","https://openalex.org/W2075972384","https://openalex.org/W2078794507","https://openalex.org/W2081339339","https://openalex.org/W2082969300","https://openalex.org/W2090973251","https://openalex.org/W2091742598","https://openalex.org/W2099258308","https://openalex.org/W2101638945","https://openalex.org/W2130762379","https://openalex.org/W2146007148","https://openalex.org/W2153128065","https://openalex.org/W2202630718","https://openalex.org/W2246600610","https://openalex.org/W2249875232","https://openalex.org/W2417367996","https://openalex.org/W2443893063","https://openalex.org/W2468966256","https://openalex.org/W2518998430","https://openalex.org/W2530117169","https://openalex.org/W2617220601","https://openalex.org/W2894161581","https://openalex.org/W2921121641","https://openalex.org/W2945332939","https://openalex.org/W2946931396","https://openalex.org/W2963270638","https://openalex.org/W2973558295","https://openalex.org/W3026510391","https://openalex.org/W3031617735","https://openalex.org/W3082228682","https://openalex.org/W3092866156","https://openalex.org/W3109256213","https://openalex.org/W3109714615","https://openalex.org/W3122246615","https://openalex.org/W3135774506","https://openalex.org/W3143362143","https://openalex.org/W3151070999","https://openalex.org/W3172892230","https://openalex.org/W3175619918","https://openalex.org/W3176109553","https://openalex.org/W3179698526","https://openalex.org/W3201626765","https://openalex.org/W4308580161"],"related_works":["https://openalex.org/W2526593459","https://openalex.org/W4226411291","https://openalex.org/W1557191926","https://openalex.org/W598873192","https://openalex.org/W2971214053","https://openalex.org/W4386657399","https://openalex.org/W2094867614","https://openalex.org/W2029723424","https://openalex.org/W2099075038","https://openalex.org/W2385208922"],"abstract_inverted_index":{".We":[0],"provide":[1],"a":[2,61],"rigorous":[3],"derivation":[4],"of":[5,13,78],"an":[6,21,34,53],"effective":[7,22,35,54],"rheology":[8],"for":[9],"dilute":[10],"viscous":[11],"suspensions":[12],"self-propelled":[14],"particles.":[15],"We":[16,73],"derive":[17],"at":[18],"the":[19,39,70,76,83,90],"limit":[20],"Stokes":[23],"system":[24],"with":[25],"two":[26],"additional":[27,49],"terms.":[28],"The":[29,47],"first":[30],"term":[31,50,63,80],"corresponds":[32],"to":[33],"viscosity":[36],"that":[37,58],"matches":[38],"famous":[40],"Einstein":[41],"formula":[42],"\\(\\mu_{eff}=(1+":[43],"\\frac{5}{2}":[44],"\\lambda":[45],")\\mu\\).":[46],"second":[48],"derived":[51],"is":[52],"active":[55],"stress":[56],"\\(\\sigma_1\\)":[57],"appears":[59],"as":[60],"forcing":[62],"\\(\\lambda":[64],"\\,":[65,67],"\\mathrm{div}":[66],"\\sigma_1\\)":[68],"in":[69,89],"fluid":[71],"equation.":[72],"then":[74],"investigate":[75],"effects":[77],"this":[79],"depending":[81],"on":[82],"microswimmer":[84],"nature":[85],"and":[86],"their":[87],"distribution":[88],"fluid.Keywordsmicroswimmer":[91],"suspensionsrheologyStokes":[92],"equationsMSC":[93],"codes35Q3576T2076D07":[94]},"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":2}],"updated_date":"2026-02-24T19:35:01.260952","created_date":"2025-10-10T00:00:00"}