{"id":"https://openalex.org/W1984611084","doi":"https://doi.org/10.1016/j.jcis.2004.03.052","title":"Extension of the method of moments for population balances involving fractional moments and application to a typical agglomeration problem","display_name":"Extension of the method of moments for population balances involving fractional moments and application to a typical agglomeration problem","publication_year":2004,"publication_date":"2004-04-18","ids":{"openalex":"https://openalex.org/W1984611084","doi":"https://doi.org/10.1016/j.jcis.2004.03.052","mag":"1984611084","pmid":"https://pubmed.ncbi.nlm.nih.gov/15219436"},"language":"en","primary_location":{"id":"doi:10.1016/j.jcis.2004.03.052","doi":"https://doi.org/10.1016/j.jcis.2004.03.052","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.jcis.2004.03.052","pdf_url":null,"source":{"id":"https://openalex.org/S204609040","display_name":"Journal of Colloid and Interface Science","issn_l":"0021-9797","issn":["0021-9797","1095-7103"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-c","jufo-1","ki-jl-1","medline","norway-1","poland-100","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Colloid and Interface Science","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref","pubmed"],"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/A5002004264","display_name":"Alessio Alexiadis","orcid":"https://orcid.org/0000-0001-9240-3517","observed_orcids":["https://orcid.org/0000-0001-9240-3517"]},"institutions":[{"id":"https://openalex.org/I4210091621","display_name":"ARMINES","ror":"https://ror.org/00dcrfk74","country_code":"FR","type":"facility","lineage":["https://openalex.org/I4210091621"]},{"id":"https://openalex.org/I70768539","display_name":"\u00c9cole Nationale Sup\u00e9rieure des Mines de Paris","ror":"https://ror.org/04y8cs423","country_code":"FR","type":"education","lineage":["https://openalex.org/I190752583","https://openalex.org/I2746051580","https://openalex.org/I70768539"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Alessio Alexiadis","raw_affiliation_strings":["ARMINES, Ecole des Mines, 60 Boulevard St. Michel, 75272 Paris Cedex 06, France. sersunzo@yahoo.com","ARMINES, \u00c9cole des Mines, 60 Boulevard St. Michel, 75272 Paris Cedex 06, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ARMINES, Ecole des Mines, 60 Boulevard St. Michel, 75272 Paris Cedex 06, France. sersunzo@yahoo.com","institution_ids":["https://openalex.org/I4210091621"]},{"raw_affiliation_string":"ARMINES, \u00c9cole des Mines, 60 Boulevard St. Michel, 75272 Paris Cedex 06, France","institution_ids":["https://openalex.org/I4210091621","https://openalex.org/I70768539"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5018895376","display_name":"Marco Vanni","orcid":"https://orcid.org/0000-0001-7039-7259","observed_orcids":["https://orcid.org/0000-0001-7039-7259"]},"institutions":[{"id":"https://openalex.org/I177477856","display_name":"Politecnico di Torino","ror":"https://ror.org/00bgk9508","country_code":"IT","type":"education","lineage":["https://openalex.org/I177477856"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Marco Vanni","raw_affiliation_strings":["Dipartimento di Scienza dei Materiali e Ingegneria Chimica, Politecnico di Torino, C.so Duca degli Abruzzi 24, 10129 Torino, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Scienza dei Materiali e Ingegneria Chimica, Politecnico di Torino, C.so Duca degli Abruzzi 24, 10129 Torino, Italy","institution_ids":["https://openalex.org/I177477856"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5113541180","display_name":"Pascal Gardin","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Pascal Gardin","raw_affiliation_strings":["IRSID, Heat-Transfer, Electromagnetism & Fluid Dynamics Department, Voie Romaine BP 30320, 57283 Maizeres-les-Metz Cedex, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IRSID, Heat-Transfer, Electromagnetism & Fluid Dynamics Department, Voie Romaine BP 30320, 57283 Maizeres-les-Metz Cedex, France","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5002004264"],"corresponding_institution_ids":["https://openalex.org/I4210091621","https://openalex.org/I70768539"],"apc_list":{"value":4470,"currency":"USD","value_usd":4470},"apc_paid":null,"fwci":1.925,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.85804962,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":93},"biblio":{"volume":"276","issue":"1","first_page":"106","last_page":"112"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.31029999256134033,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.31029999256134033,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10615","display_name":"Granular flow and fluidized beds","score":0.08229999989271164,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T11188","display_name":"Coagulation and Flocculation Studies","score":0.05290000140666962,"subfield":{"id":"https://openalex.org/subfields/2312","display_name":"Water Science and Technology"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/method-of-moments","display_name":"method of moments","score":0.9110000133514404},{"id":"https://openalex.org/keywords/population-balance","display_name":"population balance","score":0.9169999957084656},{"id":"https://openalex.org/keywords/fractional-moments","display_name":"fractional moments","score":0.9980000257492065},{"id":"https://openalex.org/keywords/laplace-transform","display_name":"Laplace transform","score":0.8640000224113464},{"id":"https://openalex.org/keywords/weyl-fractional-derivative","display_name":"Weyl fractional derivative","score":0.9509999752044678},{"id":"https://openalex.org/keywords/fractal-aggregates","display_name":"fractal aggregates","score":0.8939999938011169},{"id":"https://openalex.org/keywords/agglomeration","display_name":"agglomeration","score":0.9020000100135803},{"id":"https://openalex.org/keywords/particle-size-distribution","display_name":"particle size distribution","score":0.9549999833106995},{"id":"https://openalex.org/keywords/fractional-derivative-approximation","display_name":"fractional derivative approximation","score":0.5460000038146973}],"concepts":[{"id":"https://openalex.org/C179254644","wikidata":"https://www.wikidata.org/wiki/Q13222844","display_name":"Moment (physics)","level":2,"score":0.6773439645767212},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6699883937835693},{"id":"https://openalex.org/C97937538","wikidata":"https://www.wikidata.org/wiki/Q199691","display_name":"Laplace transform","level":2,"score":0.6400294303894043},{"id":"https://openalex.org/C2780033567","wikidata":"https://www.wikidata.org/wiki/Q6823720","display_name":"Method of moments (probability theory)","level":3,"score":0.5975993871688843},{"id":"https://openalex.org/C2780041671","wikidata":"https://www.wikidata.org/wiki/Q7229796","display_name":"Population balance equation","level":3,"score":0.5679539442062378},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.5546021461486816},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.5495964884757996},{"id":"https://openalex.org/C40636538","wikidata":"https://www.wikidata.org/wiki/Q81392","display_name":"Fractal","level":2,"score":0.5074164271354675},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.5060605406761169},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4994795322418213},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4952351152896881},{"id":"https://openalex.org/C4285052","wikidata":"https://www.wikidata.org/wiki/Q3406268","display_name":"Moment problem","level":3,"score":0.4897956848144531},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.468117892742157},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.45890894532203674},{"id":"https://openalex.org/C101796028","wikidata":"https://www.wikidata.org/wiki/Q535587","display_name":"Moment-generating function","level":3,"score":0.44740158319473267},{"id":"https://openalex.org/C149539972","wikidata":"https://www.wikidata.org/wiki/Q7919290","display_name":"Velocity Moments","level":4,"score":0.42716172337532043},{"id":"https://openalex.org/C186603090","wikidata":"https://www.wikidata.org/wiki/Q55505926","display_name":"Distribution function","level":2,"score":0.4240614175796509},{"id":"https://openalex.org/C162748667","wikidata":"https://www.wikidata.org/wiki/Q683131","display_name":"Generalized method of moments","level":3,"score":0.41025781631469727},{"id":"https://openalex.org/C197055811","wikidata":"https://www.wikidata.org/wiki/Q207522","display_name":"Probability density function","level":2,"score":0.29339462518692017},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.14176198840141296},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1397215723991394},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.13079652190208435},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.07802227139472961},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.0},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"score":0.0},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0},{"id":"https://openalex.org/C9679016","wikidata":"https://www.wikidata.org/wiki/Q1417473","display_name":"Principle of maximum entropy","level":2,"score":0.0},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0},{"id":"https://openalex.org/C92423082","wikidata":"https://www.wikidata.org/wiki/Q132146","display_name":"Zernike polynomials","level":3,"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/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C165699331","wikidata":"https://www.wikidata.org/wiki/Q461533","display_name":"Wavefront","level":2,"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1016/j.jcis.2004.03.052","doi":"https://doi.org/10.1016/j.jcis.2004.03.052","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.jcis.2004.03.052","pdf_url":null,"source":{"id":"https://openalex.org/S204609040","display_name":"Journal of Colloid and Interface Science","issn_l":"0021-9797","issn":["0021-9797","1095-7103"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-c","jufo-1","ki-jl-1","medline","norway-1","poland-100","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Colloid and Interface Science","raw_type":"journal-article"},{"id":"pmid:15219436","doi":null,"is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/15219436","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of colloid and interface science","raw_type":"Journal Article"},{"id":"pmh:oai:iris.polito.it:11583/1407013","doi":null,"is_oa":false,"landing_page_url":"http://hdl.handle.net/11583/1407013","pdf_url":null,"source":{"id":"https://openalex.org/S7407055329","display_name":"PORTO@Iris","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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":"info:eu-repo/semantics/article"},{"id":"pmh:oai:porto.polito.it:1407013","doi":null,"is_oa":false,"landing_page_url":"http://porto.polito.it/1407013/","pdf_url":null,"source":{"id":"https://openalex.org/S4306402038","display_name":"PORTO Publications Open Repository TOrino (Politecnico di Torino)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I177477856","host_organization_name":"Politecnico di Torino","host_organization_lineage":["https://openalex.org/I177477856"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSN:0021-9797","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:pure.atira.dk:openaire_cris_publications/847eb99d-f887-46fd-b99f-595a64189f47","doi":null,"is_oa":false,"landing_page_url":"https://research.birmingham.ac.uk/en/publications/847eb99d-f887-46fd-b99f-595a64189f47","pdf_url":null,"source":{"id":"https://openalex.org/S4306402634","display_name":"University of Birmingham Research Portal (University of Birmingham)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I79619799","host_organization_name":"University of Birmingham","host_organization_lineage":["https://openalex.org/I79619799"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Alexiadis, A, Vanni, M & Gardin, P 2004, 'Extension of the method of moments for population balances involving fractional moments and application to a typical agglomeration problem', Journal of Colloid and Interface Science, vol. 276, no. 1, pp. 106-112. https://doi.org/10.1016/j.jcis.2004.03.052","raw_type":"article"},{"id":"pmh:oai:pure.atira.dk:publications/847eb99d-f887-46fd-b99f-595a64189f47","doi":null,"is_oa":false,"landing_page_url":"http://www.scopus.com/inward/record.url?scp=3042644335&partnerID=8YFLogxK","pdf_url":null,"source":{"id":"https://openalex.org/S4306402634","display_name":"University of Birmingham Research Portal (University of Birmingham)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I79619799","host_organization_name":"University of Birmingham","host_organization_lineage":["https://openalex.org/I79619799"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Alexiadis , A , Vanni , M & Gardin , P 2004 , ' Extension of the method of moments for population balances involving fractional moments and application to a typical agglomeration problem ' , Journal of Colloid and Interface Science , vol. 276 , no. 1 , pp. 106-112 . https://doi.org/10.1016/j.jcis.2004.03.052","raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W1553338987","https://openalex.org/W1593833610","https://openalex.org/W1985057532","https://openalex.org/W2025376439","https://openalex.org/W2026793176","https://openalex.org/W2084848231","https://openalex.org/W2089579600","https://openalex.org/W2787959293","https://openalex.org/W3093693266","https://openalex.org/W4205160554"],"related_works":["https://openalex.org/W2580709543","https://openalex.org/W1976393599","https://openalex.org/W6958870363","https://openalex.org/W7112895834","https://openalex.org/W2554808394","https://openalex.org/W7135733800","https://openalex.org/W3206792497","https://openalex.org/W2898752528","https://openalex.org/W3014309885","https://openalex.org/W1993647571"],"abstract_inverted_index":null,"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2016-06-24T00:00:00"}
