{"id":"https://openalex.org/W1968324756","doi":"https://doi.org/10.1137/030602794","title":"From Micro to Macro Dynamics via a New Closure Approximation to the FENE Model of Polymeric Fluids","display_name":"From Micro to Macro Dynamics via a New Closure Approximation to the FENE Model of Polymeric Fluids","publication_year":2005,"publication_date":"2005-01-01","ids":{"openalex":"https://openalex.org/W1968324756","doi":"https://doi.org/10.1137/030602794","mag":"1968324756"},"language":"en","primary_location":{"id":"doi:10.1137/030602794","is_oa":false,"landing_page_url":"https://doi.org/10.1137/030602794","pdf_url":null,"source":{"id":"https://openalex.org/S4357572","display_name":"Multiscale Modeling and Simulation","issn_l":"1540-3459","issn":["1540-3459","1540-3467"],"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":"Multiscale Modeling & Simulation","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/A5044350952","display_name":"Peng Yu","orcid":"https://orcid.org/0009-0006-4419-2624"},"institutions":[{"id":"https://openalex.org/I130769515","display_name":"Pennsylvania State University","ror":"https://ror.org/04p491231","country_code":"US","type":"education","lineage":["https://openalex.org/I130769515"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Peng Yu","raw_affiliation_strings":["Pennsylvania State Univ#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Pennsylvania State Univ#TAB#","institution_ids":["https://openalex.org/I130769515"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5056115552","display_name":"Qiang Du","orcid":"https://orcid.org/0000-0002-1067-8937"},"institutions":[{"id":"https://openalex.org/I130769515","display_name":"Pennsylvania State University","ror":"https://ror.org/04p491231","country_code":"US","type":"education","lineage":["https://openalex.org/I130769515"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Qiang Du","raw_affiliation_strings":["Pennsylvania State Univ#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Pennsylvania State Univ#TAB#","institution_ids":["https://openalex.org/I130769515"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100373889","display_name":"Chun Liu","orcid":"https://orcid.org/0000-0002-0480-0107"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Chun Liu","raw_affiliation_strings":["Mathematics"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematics","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":5.0343,"has_fulltext":false,"cited_by_count":46,"citation_normalized_percentile":{"value":0.96306492,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"3","issue":"4","first_page":"895","last_page":"917"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11379","display_name":"Rheology and Fluid Dynamics Studies","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T11379","display_name":"Rheology and Fluid Dynamics Studies","score":0.9998000264167786,"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/T10402","display_name":"Phase Equilibria and Thermodynamics","score":0.9970999956130981,"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"}},{"id":"https://openalex.org/T10474","display_name":"Material Dynamics and Properties","score":0.9933000206947327,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"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/nonlinear-system","display_name":"Nonlinear system","score":0.6339935660362244},{"id":"https://openalex.org/keywords/moment","display_name":"Moment (physics)","score":0.6330618262290955},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.6323899030685425},{"id":"https://openalex.org/keywords/closure","display_name":"Closure (psychology)","score":0.6217562556266785},{"id":"https://openalex.org/keywords/moment-closure","display_name":"Moment closure","score":0.5496172308921814},{"id":"https://openalex.org/keywords/monte-carlo-method","display_name":"Monte Carlo method","score":0.5376561284065247},{"id":"https://openalex.org/keywords/macro","display_name":"Macro","score":0.49169713258743286},{"id":"https://openalex.org/keywords/coupling","display_name":"Coupling (piping)","score":0.4466342628002167},{"id":"https://openalex.org/keywords/viscoelasticity","display_name":"Viscoelasticity","score":0.42677533626556396},{"id":"https://openalex.org/keywords/closure-problem","display_name":"Closure problem","score":0.42542362213134766},{"id":"https://openalex.org/keywords/probability-density-function","display_name":"Probability density function","score":0.4209800958633423},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.37161844968795776},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.36824971437454224},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3358316421508789},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.32605618238449097},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.28166699409484863},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.20786091685295105},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.1264476776123047},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.10537329316139221}],"concepts":[{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6339935660362244},{"id":"https://openalex.org/C179254644","wikidata":"https://www.wikidata.org/wiki/Q13222844","display_name":"Moment (physics)","level":2,"score":0.6330618262290955},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.6323899030685425},{"id":"https://openalex.org/C146834321","wikidata":"https://www.wikidata.org/wiki/Q2979672","display_name":"Closure (psychology)","level":2,"score":0.6217562556266785},{"id":"https://openalex.org/C2778513689","wikidata":"https://www.wikidata.org/wiki/Q6897109","display_name":"Moment closure","level":3,"score":0.5496172308921814},{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.5376561284065247},{"id":"https://openalex.org/C166955791","wikidata":"https://www.wikidata.org/wiki/Q629579","display_name":"Macro","level":2,"score":0.49169713258743286},{"id":"https://openalex.org/C131584629","wikidata":"https://www.wikidata.org/wiki/Q4308705","display_name":"Coupling (piping)","level":2,"score":0.4466342628002167},{"id":"https://openalex.org/C186541917","wikidata":"https://www.wikidata.org/wiki/Q910483","display_name":"Viscoelasticity","level":2,"score":0.42677533626556396},{"id":"https://openalex.org/C58626813","wikidata":"https://www.wikidata.org/wiki/Q5135529","display_name":"Closure problem","level":3,"score":0.42542362213134766},{"id":"https://openalex.org/C197055811","wikidata":"https://www.wikidata.org/wiki/Q207522","display_name":"Probability density function","level":2,"score":0.4209800958633423},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.37161844968795776},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.36824971437454224},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3358316421508789},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.32605618238449097},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.28166699409484863},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.20786091685295105},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.1264476776123047},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.10537329316139221},{"id":"https://openalex.org/C34447519","wikidata":"https://www.wikidata.org/wiki/Q179522","display_name":"Market economy","level":1,"score":0.0},{"id":"https://openalex.org/C196558001","wikidata":"https://www.wikidata.org/wiki/Q190132","display_name":"Turbulence","level":2,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C191897082","wikidata":"https://www.wikidata.org/wiki/Q11467","display_name":"Metallurgy","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/030602794","is_oa":false,"landing_page_url":"https://doi.org/10.1137/030602794","pdf_url":null,"source":{"id":"https://openalex.org/S4357572","display_name":"Multiscale Modeling and Simulation","issn_l":"1540-3459","issn":["1540-3459","1540-3467"],"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":"Multiscale Modeling & Simulation","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy","score":0.5}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W6253552","https://openalex.org/W658021810","https://openalex.org/W1486258632","https://openalex.org/W1700320811","https://openalex.org/W1774151066","https://openalex.org/W1965272075","https://openalex.org/W1973779621","https://openalex.org/W1977033144","https://openalex.org/W1978100085","https://openalex.org/W1988111621","https://openalex.org/W1999110794","https://openalex.org/W2005105755","https://openalex.org/W2011892386","https://openalex.org/W2014298004","https://openalex.org/W2015729081","https://openalex.org/W2019704130","https://openalex.org/W2021515929","https://openalex.org/W2025170640","https://openalex.org/W2033305412","https://openalex.org/W2033711044","https://openalex.org/W2036138588","https://openalex.org/W2054322060","https://openalex.org/W2071375647","https://openalex.org/W2076582418","https://openalex.org/W2091742598","https://openalex.org/W2103678757","https://openalex.org/W2113933148","https://openalex.org/W2132222929","https://openalex.org/W2138705499","https://openalex.org/W2146838586","https://openalex.org/W2477040106","https://openalex.org/W3023314255","https://openalex.org/W4206280959"],"related_works":["https://openalex.org/W2135856271","https://openalex.org/W1673739928","https://openalex.org/W2965958203","https://openalex.org/W3042136509","https://openalex.org/W4288267729","https://openalex.org/W1495735800","https://openalex.org/W130681319","https://openalex.org/W1980797978","https://openalex.org/W4299832939","https://openalex.org/W2478490355"],"abstract_inverted_index":{"We":[0],"present":[1],"a":[2,37,102,107],"new":[3],"closure":[4,24],"approximation":[5],"needed":[6],"for":[7,106],"deriving":[8],"effective":[9],"macroscopic":[10],"moment":[11,53],"equations":[12,54,58],"from":[13],"the":[14,29,45,52,56,66,80,83,89,93,97],"microscopic":[15],"finite-extensible-nonlinear-elastic":[16],"kinetic":[17],"theory":[18],"modeling":[19],"viscoelastic":[20],"polymeric":[21],"fluids.":[22],"The":[23,48],"is":[25],"based":[26],"on":[27],"restricting":[28],"otherwise":[30],"general":[31],"probability":[32],"distribution":[33],"functions":[34],"(PDFs)":[35],"to":[36,65,78,87],"class":[38],"of":[39,82,92,110],"smooth":[40],"distributions":[41],"motivated":[42],"by":[43],"perturbing":[44],"equilibrium":[46],"PDF\\@.":[47],"simplified":[49,94],"system":[50,99],"coupling":[51],"and":[55,73,86],"Navier--Stokes":[57],"still":[59],"possesses":[60],"an":[61],"energy":[62],"law":[63],"analogous":[64],"original":[67,98],"micro-macro":[68],"system.":[69],"Some":[70],"theoretical":[71],"analysis":[72],"numerical":[74],"experiments":[75],"are":[76],"presented":[77],"ensure":[79],"validity":[81],"moment-closure":[84],"system,":[85],"illustrate":[88],"excellent":[90],"agreement":[91],"model":[95],"with":[96],"solved":[100],"using":[101],"Monte":[103],"Carlo":[104],"approach,":[105],"certain":[108],"regime":[109],"physical":[111],"parameters.":[112]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}