{"id":"https://openalex.org/W836263232","doi":"https://doi.org/10.12693/aphyspola.118.606","title":"Casimir Force between Nanoparticles Immersed in a Crosslinked Polymer Blend","display_name":"Casimir Force between Nanoparticles Immersed in a Crosslinked Polymer Blend","publication_year":2010,"publication_date":"2010-10-01","ids":{"openalex":"https://openalex.org/W836263232","doi":"https://doi.org/10.12693/aphyspola.118.606","mag":"836263232"},"language":"en","primary_location":{"id":"doi:10.12693/aphyspola.118.606","doi":"https://doi.org/10.12693/aphyspola.118.606","is_oa":true,"landing_page_url":"https://doi.org/10.12693/aphyspola.118.606","pdf_url":"https://doi.org/10.12693/aphyspola.118.606","source":{"id":"https://openalex.org/S63733671","display_name":"Acta Physica Polonica A","issn_l":"0587-4246","issn":["0587-4246","1898-794X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","ddh","doaj","dongbi-c","jufo-1","norway-1","poland-70","russia-white-list-3","vabb-shw"],"host_organization":"https://openalex.org/P4310317485","host_organization_name":"Polish Academy of Sciences","host_organization_lineage":["https://openalex.org/P4310317485"],"host_organization_lineage_names":["Polish Academy of Sciences"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Acta Physica Polonica A","raw_type":"journal-article"},"parent_works":[],"lineage":["https://openalex.org/W836263232"],"child_works_count":0,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://doi.org/10.12693/aphyspola.118.606","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5064583506","display_name":"S. El Fassi","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I99297268","display_name":"University of Hassan II Casablanca","ror":"https://ror.org/001q4kn48","country_code":"MA","type":"education","lineage":["https://openalex.org/I99297268"]}],"countries":["MA"],"is_corresponding":false,"raw_author_name":"S. El Fassi","raw_affiliation_strings":["Laboratoire de Physique des Polym\u00e8res et Ph\u00e9nom\u00e8nes Critiques, Facult\u00e9 des Sciences Ben M'sik, P.O. Box 7955, Casablanca, Morocco"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire de Physique des Polym\u00e8res et Ph\u00e9nom\u00e8nes Critiques, Facult\u00e9 des Sciences Ben M'sik, P.O. Box 7955, Casablanca, Morocco","institution_ids":["https://openalex.org/I99297268"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5021446922","display_name":"MABROUK BENHAMOU","orcid":"https://orcid.org/0000-0001-8534-4977","observed_orcids":["https://orcid.org/0000-0001-8534-4977","https://orcid.org/0009-0003-3690-0094"]},"institutions":[{"id":"https://openalex.org/I99297268","display_name":"University of Hassan II Casablanca","ror":"https://ror.org/001q4kn48","country_code":"MA","type":"education","lineage":["https://openalex.org/I99297268"]}],"countries":["MA"],"is_corresponding":false,"raw_author_name":"M. Benhamou","raw_affiliation_strings":["Laboratoire de Physique des Polym\u00e8res et Ph\u00e9nom\u00e8nes Critiques, Facult\u00e9 des Sciences Ben M'sik, P.O. Box 7955, Casablanca, Morocco"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire de Physique des Polym\u00e8res et Ph\u00e9nom\u00e8nes Critiques, Facult\u00e9 des Sciences Ben M'sik, P.O. Box 7955, Casablanca, Morocco","institution_ids":["https://openalex.org/I99297268"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5014747815","display_name":"M. Boughou","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I99297268","display_name":"University of Hassan II Casablanca","ror":"https://ror.org/001q4kn48","country_code":"MA","type":"education","lineage":["https://openalex.org/I99297268"]}],"countries":["MA"],"is_corresponding":false,"raw_author_name":"M. Boughou","raw_affiliation_strings":["Laboratoire de Physique des Polym\u00e8res et Ph\u00e9nom\u00e8nes Critiques, Facult\u00e9 des Sciences Ben M'sik, P.O. Box 7955, Casablanca, Morocco"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire de Physique des Polym\u00e8res et Ph\u00e9nom\u00e8nes Critiques, Facult\u00e9 des Sciences Ben M'sik, P.O. Box 7955, Casablanca, Morocco","institution_ids":["https://openalex.org/I99297268"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5005327706","display_name":"H. Ka\u00efdi","orcid":"https://orcid.org/0000-0002-2375-0977","observed_orcids":["https://orcid.org/0000-0002-2375-0977"]},"institutions":[{"id":"https://openalex.org/I99297268","display_name":"University of Hassan II Casablanca","ror":"https://ror.org/001q4kn48","country_code":"MA","type":"education","lineage":["https://openalex.org/I99297268"]}],"countries":["MA"],"is_corresponding":false,"raw_author_name":"H. Kaidi","raw_affiliation_strings":["Laboratoire de Physique des Polym\u00e8res et Ph\u00e9nom\u00e8nes Critiques, Facult\u00e9 des Sciences Ben M'sik, P.O. Box 7955, Casablanca, Morocco"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire de Physique des Polym\u00e8res et Ph\u00e9nom\u00e8nes Critiques, Facult\u00e9 des Sciences Ben M'sik, P.O. Box 7955, Casablanca, Morocco","institution_ids":["https://openalex.org/I99297268"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5079437616","display_name":"M. El Yaznasni","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I99297268","display_name":"University of Hassan II Casablanca","ror":"https://ror.org/001q4kn48","country_code":"MA","type":"education","lineage":["https://openalex.org/I99297268"]}],"countries":["MA"],"is_corresponding":false,"raw_author_name":"M. El Yaznasni","raw_affiliation_strings":["Laboratoire de Physique des Polym\u00e8res et Ph\u00e9nom\u00e8nes Critiques, Facult\u00e9 des Sciences Ben M'sik, P.O. Box 7955, Casablanca, Morocco"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire de Physique des Polym\u00e8res et Ph\u00e9nom\u00e8nes Critiques, Facult\u00e9 des Sciences Ben M'sik, P.O. Box 7955, Casablanca, Morocco","institution_ids":["https://openalex.org/I99297268"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5006458649","display_name":"Hamid Ridouane","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I99297268","display_name":"University of Hassan II Casablanca","ror":"https://ror.org/001q4kn48","country_code":"MA","type":"education","lineage":["https://openalex.org/I99297268"]}],"countries":["MA"],"is_corresponding":false,"raw_author_name":"H. Ridouane","raw_affiliation_strings":["Laboratoire de Physique des Polym\u00e8res et Ph\u00e9nom\u00e8nes Critiques, Facult\u00e9 des Sciences Ben M'sik, P.O. Box 7955, Casablanca, Morocco"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire de Physique des Polym\u00e8res et Ph\u00e9nom\u00e8nes Critiques, Facult\u00e9 des Sciences Ben M'sik, P.O. Box 7955, Casablanca, Morocco","institution_ids":["https://openalex.org/I99297268"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I99297268"],"apc_list":null,"apc_paid":null,"fwci":0.1516,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.42130874,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":87,"max":95},"biblio":{"volume":"118","issue":"4","first_page":"606","last_page":"612"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12220","display_name":"Quantum Electrodynamics and Casimir Effect","score":0.9911999702453613,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"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/T12220","display_name":"Quantum Electrodynamics and Casimir Effect","score":0.9911999702453613,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"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/T12274","display_name":"Electrostatics and Colloid Interactions","score":0.0010000000474974513,"subfield":{"id":"https://openalex.org/subfields/1606","display_name":"Physical and Theoretical Chemistry"},"field":{"id":"https://openalex.org/fields/16","display_name":"Chemistry"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10591","display_name":"Theoretical and Computational Physics","score":0.0007999999797903001,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/casimir-force","display_name":"Casimir force","score":0.9380000233650208},{"id":"https://openalex.org/keywords/colloidal-particles","display_name":"colloidal particles","score":0.824999988079071},{"id":"https://openalex.org/keywords/critical-adsorption","display_name":"critical adsorption","score":0.9860000014305115},{"id":"https://openalex.org/keywords/spinodal-temperature","display_name":"spinodal temperature","score":0.828000009059906},{"id":"https://openalex.org/keywords/pair-potential","display_name":"pair potential","score":0.7269999980926514},{"id":"https://openalex.org/keywords/hamaker-constant","display_name":"Hamaker constant","score":0.925000011920929},{"id":"https://openalex.org/keywords/mesh-size","display_name":"mesh size","score":0.48399999737739563},{"id":"https://openalex.org/keywords/reticulation","display_name":"reticulation","score":0.40299999713897705}],"concepts":[{"id":"https://openalex.org/C106881136","wikidata":"https://www.wikidata.org/wiki/Q275393","display_name":"Casimir effect","level":2,"score":0.6950975656509399},{"id":"https://openalex.org/C521977710","wikidata":"https://www.wikidata.org/wiki/Q81163","display_name":"Polymer","level":2,"score":0.6698629260063171},{"id":"https://openalex.org/C85272257","wikidata":"https://www.wikidata.org/wiki/Q907839","display_name":"Spinodal","level":3,"score":0.6254240274429321},{"id":"https://openalex.org/C59789625","wikidata":"https://www.wikidata.org/wiki/Q181780","display_name":"Colloid","level":2,"score":0.5530588626861572},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.5273688435554504},{"id":"https://openalex.org/C166940927","wikidata":"https://www.wikidata.org/wiki/Q178827","display_name":"Monomer","level":3,"score":0.5129508376121521},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.4819169342517853},{"id":"https://openalex.org/C2778517922","wikidata":"https://www.wikidata.org/wiki/Q7140482","display_name":"Particle (ecology)","level":2,"score":0.44989365339279175},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.43957841396331787},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4382878541946411},{"id":"https://openalex.org/C159467904","wikidata":"https://www.wikidata.org/wiki/Q2001702","display_name":"Chemical physics","level":1,"score":0.4231053292751312},{"id":"https://openalex.org/C188027245","wikidata":"https://www.wikidata.org/wiki/Q750446","display_name":"Polymer chemistry","level":1,"score":0.3804590404033661},{"id":"https://openalex.org/C147789679","wikidata":"https://www.wikidata.org/wiki/Q11372","display_name":"Physical chemistry","level":1,"score":0.2095617651939392},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.19191870093345642},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.16396650671958923},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.11026856303215027},{"id":"https://openalex.org/C111368507","wikidata":"https://www.wikidata.org/wiki/Q43518","display_name":"Oceanography","level":1,"score":0.0},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.12693/aphyspola.118.606","doi":"https://doi.org/10.12693/aphyspola.118.606","is_oa":true,"landing_page_url":"https://doi.org/10.12693/aphyspola.118.606","pdf_url":"https://doi.org/10.12693/aphyspola.118.606","source":{"id":"https://openalex.org/S63733671","display_name":"Acta Physica Polonica A","issn_l":"0587-4246","issn":["0587-4246","1898-794X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","ddh","doaj","dongbi-c","jufo-1","norway-1","poland-70","russia-white-list-3","vabb-shw"],"host_organization":"https://openalex.org/P4310317485","host_organization_name":"Polish Academy of Sciences","host_organization_lineage":["https://openalex.org/P4310317485"],"host_organization_lineage_names":["Polish Academy of Sciences"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Acta Physica Polonica A","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.12693/aphyspola.118.606","doi":"https://doi.org/10.12693/aphyspola.118.606","is_oa":true,"landing_page_url":"https://doi.org/10.12693/aphyspola.118.606","pdf_url":"https://doi.org/10.12693/aphyspola.118.606","source":{"id":"https://openalex.org/S63733671","display_name":"Acta Physica Polonica A","issn_l":"0587-4246","issn":["0587-4246","1898-794X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","ddh","doaj","dongbi-c","jufo-1","norway-1","poland-70","russia-white-list-3","vabb-shw"],"host_organization":"https://openalex.org/P4310317485","host_organization_name":"Polish Academy of Sciences","host_organization_lineage":["https://openalex.org/P4310317485"],"host_organization_lineage_names":["Polish Academy of Sciences"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Acta Physica Polonica A","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W836263232.pdf","grobid_xml":"https://content.openalex.org/works/W836263232.grobid-xml"},"referenced_works_count":74,"referenced_works":["https://openalex.org/W566059251","https://openalex.org/W613651688","https://openalex.org/W1492148896","https://openalex.org/W1505352099","https://openalex.org/W1540380506","https://openalex.org/W1621145279","https://openalex.org/W1963606395","https://openalex.org/W1966236499","https://openalex.org/W1968360423","https://openalex.org/W1973262677","https://openalex.org/W1973855337","https://openalex.org/W1977601282","https://openalex.org/W1979260646","https://openalex.org/W1982298839","https://openalex.org/W1983064461","https://openalex.org/W1995826579","https://openalex.org/W1996963902","https://openalex.org/W2001065323","https://openalex.org/W2005598775","https://openalex.org/W2007196472","https://openalex.org/W2007605099","https://openalex.org/W2010124841","https://openalex.org/W2012754505","https://openalex.org/W2017892163","https://openalex.org/W2018606969","https://openalex.org/W2018895551","https://openalex.org/W2019609325","https://openalex.org/W2020236247","https://openalex.org/W2021628151","https://openalex.org/W2022424117","https://openalex.org/W2023226095","https://openalex.org/W2023323216","https://openalex.org/W2023793169","https://openalex.org/W2025086576","https://openalex.org/W2026148659","https://openalex.org/W2028546484","https://openalex.org/W2028790713","https://openalex.org/W2030431350","https://openalex.org/W2030614982","https://openalex.org/W2031733398","https://openalex.org/W2032808334","https://openalex.org/W2035009692","https://openalex.org/W2035561418","https://openalex.org/W2039098987","https://openalex.org/W2039263963","https://openalex.org/W2055046363","https://openalex.org/W2063572300","https://openalex.org/W2063954994","https://openalex.org/W2068912582","https://openalex.org/W2072144431","https://openalex.org/W2072645469","https://openalex.org/W2074551768","https://openalex.org/W2075813134","https://openalex.org/W2077043525","https://openalex.org/W2077106578","https://openalex.org/W2077287973","https://openalex.org/W2082262636","https://openalex.org/W2082300673","https://openalex.org/W2086731050","https://openalex.org/W2087619919","https://openalex.org/W2089725228","https://openalex.org/W2091068321","https://openalex.org/W2095613225","https://openalex.org/W2096055678","https://openalex.org/W2097246107","https://openalex.org/W2112286943","https://openalex.org/W2114446270","https://openalex.org/W2149916250","https://openalex.org/W2157005274","https://openalex.org/W2501611212","https://openalex.org/W2991334544","https://openalex.org/W3004006681","https://openalex.org/W3113221786","https://openalex.org/W3119264854"],"related_works":["https://openalex.org/W1564444981","https://openalex.org/W2312547229","https://openalex.org/W2141586954","https://openalex.org/W2010124841","https://openalex.org/W1529160145","https://openalex.org/W2068912582","https://openalex.org/W2322700062","https://openalex.org/W2617340833","https://openalex.org/W3181818408"],"abstract_inverted_index":{"We":[0],"consider":[1],"a":[2,17,70,91,110],"crosslinked":[3,87,224],"polymer":[4,88,225],"blend":[5],"made":[6,121],"of":[7,10,59,78,85,104,112,122,138,216],"two":[8,200],"polymers":[9],"different":[11],"chemical":[12],"nature.We":[13],"suppose":[14],"that":[15,129,144,187,213],"such":[16],"system":[18],"incorporates":[19],"small":[20,52],"colloidal":[21],"particles,":[22],"which":[23],"prefer":[24],"to":[25,32,50],"be":[26,51],"attracted":[27],"by":[28,198],"one":[29],"polymer,":[30],"close":[31],"the":[33,37,42,57,86,97,102,105,113,133,136,145,154,170,188,199,214,220],"spinodal":[34],"temperature.This":[35],"is":[36,48,101,120,147,212],"so-called":[38],"critical":[39,83],"adsorption.As":[40],"assumption,":[41],"particle":[43],"diameter,":[44],"d":[45],"0":[46,176,180],",":[47,68],"considered":[49],"enough":[53],"in":[54,96,223],"comparison":[55],"with":[56,69,169,194],"size":[58,73],"microdomains":[60],"(mesh":[61],"size)":[62],"\u03be":[63],"*":[64,162,167,204,208],"\u223c":[65],"an":[66,123],"1/2":[67],"-the":[71,76],"monomer":[72],"and":[74,177,206],"n":[75],"number":[77],"monomers":[79],"between":[80,93],"consecutive":[81],"crosslinks.The":[82],"fluctuations":[84],"mixture":[89],"induce":[90],"pair-potential":[92,189],"particles":[94],"located":[95],"non-preferred":[98],"phase.The":[99],"purpose":[100],"determination":[103],"Casimir":[106,221],"pair-potential,":[107],"U2(r),":[108],"as":[109],"function":[111],"interparticle":[114],"distance":[115],"r.To":[116],"achieve":[117],"calculations,":[118],"use":[119],"extended":[124],"de":[125],"Gennes":[126],"field":[127],"theory":[128],"takes":[130],"into":[131],"account":[132],"colloid-polymer":[134],"interactions.Within":[135],"framework":[137],"this":[139,152],"theory,":[140],"we":[141,149],"first":[142],"show":[143],"pair-particle":[146],"attractive.Second,":[148],"find":[150],"for":[151],"potential":[153],"exact":[155],"form:":[156],"U2(r)/kBT":[157],"=":[158],"-AH(d0/r)":[159],"2":[160],"exp(-r/\u03be":[161,203],")":[163,205],"-BH(d0/r)":[164],"4":[165],"exp(-2r/\u03be":[166,207],"),":[168],"known":[171],"universal":[172],"amplitudes":[173],"AH":[174],">":[175,179],"BH":[178],"(the":[181],"Hamaker":[182],"constants).This":[183],"expression":[184],"clearly":[185],"shows":[186],"differs":[190],"from":[191],"its":[192],"homologue":[193],"no":[195],"crosslinks":[196],"only":[197],"exponential":[201],"factors":[202],").The":[209],"main":[210],"conclusion":[211],"presence":[215],"reticulations":[217],"reduces":[218],"substantially":[219],"effect":[222],"blends.":[226]},"counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":1}],"updated_date":"2026-11-14T11:04:58.165337","created_date":"2016-06-24T00:00:00"}