{"id":"https://openalex.org/W7224088397","doi":"https://doi.org/10.48550/arxiv.2610.37076","title":"Perimeter shell properties of branched polymer adsorbents in various conformational states","display_name":"Perimeter shell properties of branched polymer adsorbents in various conformational states","publication_year":2026,"publication_date":"2026-10-27","ids":{"openalex":"https://openalex.org/W7224088397","doi":"https://doi.org/10.48550/arxiv.2610.37076"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2610.37076","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.37076","pdf_url":"https://arxiv.org/pdf/2610.37076","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","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2610.37076","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5072963848","display_name":"Viktoria Blavatska","orcid":"https://orcid.org/0000-0001-6158-1636","observed_orcids":["https://orcid.org/0000-0001-6158-1636"]},"institutions":[{"id":"https://openalex.org/I4210122792","display_name":"Yukhnovskii Institute for Condensed Matter Physics of the National Academy of Sciences of Ukraine","ror":"https://ror.org/03441jy26","country_code":"UA","type":"facility","lineage":["https://openalex.org/I149851306","https://openalex.org/I4210122792"]}],"countries":["UA"],"is_corresponding":false,"raw_author_name":"Blavatska, Viktoria","raw_affiliation_strings":["Laboratory for Statistical Physics of Complex Systems , Yukhnovskii Institute for Condensed Matter Physics of the National Academy of Sciences of Ukraine , Lviv , Ukraine","Yukhnovskii Institute for Condensed Matter Physics of the National Academy of Sciences of Ukraine , Lviv , Ukraine"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratory for Statistical Physics of Complex Systems , Yukhnovskii Institute for Condensed Matter Physics of the National Academy of Sciences of Ukraine , Lviv , Ukraine","institution_ids":["https://openalex.org/I4210122792"]},{"raw_affiliation_string":"Yukhnovskii Institute for Condensed Matter Physics of the National Academy of Sciences of Ukraine , Lviv , Ukraine","institution_ids":["https://openalex.org/I4210122792"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5074599872","display_name":"Jaroslav Ilnytskyi","orcid":"https://orcid.org/0000-0002-1868-5648","observed_orcids":["https://orcid.org/0000-0002-1868-5648"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ilnytskyi, Jaroslav","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"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/T10591","display_name":"Theoretical and Computational Physics","score":0.5160999894142151,"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/T10591","display_name":"Theoretical and Computational Physics","score":0.5160999894142151,"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/T12044","display_name":"Advanced Physical and Chemical Molecular Interactions","score":0.16349999606609344,"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/T13604","display_name":"Adsorption, diffusion, and thermodynamic properties of materials","score":0.16210000216960907,"subfield":{"id":"https://openalex.org/subfields/1607","display_name":"Spectroscopy"},"field":{"id":"https://openalex.org/fields/16","display_name":"Chemistry"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/branched-polymers","display_name":"branched polymers","score":0.9390000104904175},{"id":"https://openalex.org/keywords/adsorption","display_name":"adsorption","score":0.699999988079071},{"id":"https://openalex.org/keywords/polymer-conformation","display_name":"chain conformation","score":0.7120000123977661},{"id":"https://openalex.org/keywords/self-avoiding-walks","display_name":"self-avoiding walks","score":0.8809999823570251},{"id":"https://openalex.org/keywords/coordination-number","display_name":"coordination number","score":0.8479999899864197},{"id":"https://openalex.org/keywords/physical-accessibility","display_name":"physical accessibility","score":0.7080000042915344},{"id":"https://openalex.org/keywords/simple-cubic-lattice","display_name":"simple cubic lattice","score":0.6919999718666077},{"id":"https://openalex.org/keywords/branching-effects","display_name":"branching effects","score":0.42399999499320984}],"concepts":[{"id":"https://openalex.org/C206175624","wikidata":"https://www.wikidata.org/wiki/Q595731","display_name":"Branching (polymer chemistry)","level":2,"score":0.8009999990463257},{"id":"https://openalex.org/C166940927","wikidata":"https://www.wikidata.org/wiki/Q178827","display_name":"Monomer","level":3,"score":0.7200000286102295},{"id":"https://openalex.org/C98503990","wikidata":"https://www.wikidata.org/wiki/Q28474","display_name":"Perimeter","level":2,"score":0.61080002784729},{"id":"https://openalex.org/C150394285","wikidata":"https://www.wikidata.org/wiki/Q180254","display_name":"Adsorption","level":2,"score":0.5080000162124634},{"id":"https://openalex.org/C204389451","wikidata":"https://www.wikidata.org/wiki/Q178593","display_name":"Macromolecule","level":2,"score":0.48330000042915344},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.44429999589920044},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.40799999237060547},{"id":"https://openalex.org/C521977710","wikidata":"https://www.wikidata.org/wiki/Q81163","display_name":"Polymer","level":2,"score":0.40689998865127563},{"id":"https://openalex.org/C2781052500","wikidata":"https://www.wikidata.org/wiki/Q2230313","display_name":"Shell (structure)","level":2,"score":0.39329999685287476},{"id":"https://openalex.org/C8010536","wikidata":"https://www.wikidata.org/wiki/Q160398","display_name":"Crystallography","level":1,"score":0.390500009059906},{"id":"https://openalex.org/C159467904","wikidata":"https://www.wikidata.org/wiki/Q2001702","display_name":"Chemical physics","level":1,"score":0.34619998931884766},{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.3125},{"id":"https://openalex.org/C2778517922","wikidata":"https://www.wikidata.org/wiki/Q7140482","display_name":"Particle (ecology)","level":2,"score":0.30250000953674316},{"id":"https://openalex.org/C134121241","wikidata":"https://www.wikidata.org/wiki/Q899301","display_name":"Yield (engineering)","level":2,"score":0.29260000586509705},{"id":"https://openalex.org/C2776928176","wikidata":"https://www.wikidata.org/wiki/Q2498879","display_name":"Confined space","level":2,"score":0.2696000039577484},{"id":"https://openalex.org/C33559828","wikidata":"https://www.wikidata.org/wiki/Q397226","display_name":"Coordination number","level":3,"score":0.2680000066757202},{"id":"https://openalex.org/C188198153","wikidata":"https://www.wikidata.org/wiki/Q1613840","display_name":"Limiting","level":2,"score":0.2524999976158142}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2610.37076","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.37076","pdf_url":"https://arxiv.org/pdf/2610.37076","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.2610.37076","doi":"https://doi.org/10.48550/arxiv.2610.37076","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2610.37076","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2610.37076","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.37076","pdf_url":"https://arxiv.org/pdf/2610.37076","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":[{"id":"https://openalex.org/G5206891976","display_name":null,"funder_award_id":"2025.07","funder_id":"https://openalex.org/F4320318013","funder_display_name":"National Research Foundation of Ukraine"}],"funders":[{"id":"https://openalex.org/F4320318013","display_name":"National Research Foundation of Ukraine","ror":"https://ror.org/02gmp5156"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7224088397.pdf","grobid_xml":"https://content.openalex.org/works/W7224088397.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2097776558","https://openalex.org/W7202286990","https://openalex.org/W1977273669","https://openalex.org/W2074861316","https://openalex.org/W3031846035","https://openalex.org/W2010695603","https://openalex.org/W3032801546","https://openalex.org/W1970980859","https://openalex.org/W2081133176","https://openalex.org/W1989395001"],"abstract_inverted_index":{"The":[0],"structural":[1],"accessibility":[2,110],"and":[3,57,108,148],"perimeter":[4,76,95,123,133],"shell":[5,77,96,124,134],"properties":[6],"of":[7,24,36,67,80,94,103,132,150,172,194,206,217,227],"branched":[8],"macromolecules":[9,26],"are":[10,27,70],"studied":[11],"using":[12],"Monte":[13],"Carlo":[14],"simulations":[15],"on":[16],"a":[17,34,39,52],"simple":[18],"cubic":[19],"lattice.":[20],"Constituent":[21],"polymer":[22],"chains":[23,198],"these":[25],"constructed":[28],"in":[29,169,196,200,220],"an":[30],"algorithmic":[31],"way":[32],"as:":[33],"set":[35,66],"collinear":[37],"monomers;":[38],"self-avoiding":[40],"walk":[41],"(SAW);":[42],"tigthly":[43],"packed":[44],"monomers.":[45],"These":[46],"mimic":[47],"the":[48,65,122,160,170,176,180,192,201,213,221,225],"ground":[49],"states":[50],"for":[51,83,163,183],"rigid":[53],"rod,":[54],"flexible":[55,177],"chain,":[56],"collapsed":[58],"chain":[59],"conformational":[60,137],"states,":[61,138],"respectively.":[62],"We":[63,188],"analyzed":[64],"observables":[68],"that":[69,119,191],"related":[71],"to":[72,140],"adsorption,":[73],"such":[74],"as":[75,204,224],"size":[78,125],"(number":[79],"available":[81],"sites":[82,153],"particle":[84],"adsorption)":[85],"per":[86,105,111],"monomer":[87,112,143],"$\\langle":[88,97,113,164,184],"\\bar{n}_a":[89,165,209,230],"\\rangle$,":[90],"mean":[91,129],"coordination":[92,109,130],"number":[93,102,131],"n_{\\rm":[98,185],"bond}":[99,186],"\\rangle$":[100,166,210,231],"(average":[101],"contacts":[104],"adsorbed":[106],"particle),":[107],"\\bar{n}_s":[114],"\\rangle$.":[115,187],"Our":[116],"results":[117],"demonstrate":[118],"branching":[120,146,207,228],"reduces":[121],"while":[126],"it":[127],"increases":[128],"across":[135],"all":[136],"due":[139],"higher":[141],"local":[142],"density":[144],"near":[145],"cores":[147],"formation":[149],"shared":[151],"adsorption":[152],"or":[154],"microcages.":[155],"Stiff":[156],"extended":[157],"structures":[158],"yield":[159],"highest":[161],"values":[162,182],"(approaching":[167],"$4$":[168],"limit":[171],"long":[173],"chains),":[174],"whereas":[175,212],"ones":[178],"provide":[179],"largest":[181],"can":[189],"note":[190],"collinearity":[193],"monomers":[195],"constituent":[197],"works":[199],"same":[202,222],"direction":[203,223],"reduction":[205],"($\\langle":[208,229],"grows),":[211],"{":[214],"tight":[215],"packing":[216],"them}":[218],"--":[219],"increase":[226],"decreases)":[232]},"counts_by_year":[],"updated_date":"2026-11-01T11:40:01.658920","created_date":"2026-10-29T00:00:00"}