{"id":"https://openalex.org/W3148317774","doi":"https://doi.org/10.1063/5.0052111","title":"Solution of disordered microphases in the Bethe approximation","display_name":"Solution of disordered microphases in the Bethe approximation","publication_year":2021,"publication_date":"2021-07-08","ids":{"openalex":"https://openalex.org/W3148317774","doi":"https://doi.org/10.1063/5.0052111","mag":"3148317774","pmid":"https://pubmed.ncbi.nlm.nih.gov/34266261"},"language":"en","primary_location":{"id":"doi:10.1063/5.0052111","doi":"https://doi.org/10.1063/5.0052111","is_oa":true,"landing_page_url":"https://doi.org/10.1063/5.0052111","pdf_url":"https://aip.scitation.org/doi/pdf/10.1063/5.0052111","source":{"id":"https://openalex.org/S77047749","display_name":"The Journal of Chemical Physics","issn_l":"0021-9606","issn":["0021-9606","1089-7690","1520-9032"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-1","ki-jl-1","medline","norway-1","poland-100","russia-white-list-2","vabb-shw"],"host_organization":"https://openalex.org/P4310320257","host_organization_name":"American Institute of Physics","host_organization_lineage":["https://openalex.org/P4310320257"],"host_organization_lineage_names":["American Institute of Physics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Journal of Chemical Physics","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["arxiv","crossref","datacite","pubmed"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://aip.scitation.org/doi/pdf/10.1063/5.0052111","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5047047018","display_name":"Patrick Charbonneau","orcid":"https://orcid.org/0000-0001-7174-0821","observed_orcids":["https://orcid.org/0000-0001-7174-0821"]},"institutions":[{"id":"https://openalex.org/I170897317","display_name":"Duke University","ror":"https://ror.org/00py81415","country_code":"US","type":"education","lineage":["https://openalex.org/I170897317"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Patrick Charbonneau","raw_affiliation_strings":["Department of Chemistry, Duke University 1 , Durham, North Carolina 27708, USA","Department of Physics, Duke University 2 , Durham, North Carolina 27708, USA"],"raw_orcid":"https://orcid.org/0000-0001-7174-0821","affiliations":[{"raw_affiliation_string":"Department of Chemistry, Duke University 1 , Durham, North Carolina 27708, USA","institution_ids":["https://openalex.org/I170897317"]},{"raw_affiliation_string":"Department of Physics, Duke University 2 , Durham, North Carolina 27708, USA","institution_ids":["https://openalex.org/I170897317"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5024005494","display_name":"Marco Tarzia","orcid":"https://orcid.org/0000-0001-8113-7049","observed_orcids":["https://orcid.org/0000-0001-8113-7049"]},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I185839726","display_name":"Institut Universitaire de France","ror":"https://ror.org/055khg266","country_code":"FR","type":"education","lineage":["https://openalex.org/I185839726"]},{"id":"https://openalex.org/I39804081","display_name":"Sorbonne Universit\u00e9","ror":"https://ror.org/02en5vm52","country_code":"FR","type":"education","lineage":["https://openalex.org/I39804081"]},{"id":"https://openalex.org/I4210140797","display_name":"Laboratoire de Physique Th\u00e9orique de la Mati\u00e8re Condens\u00e9e","ror":"https://ror.org/04zaaa143","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I39804081","https://openalex.org/I4210098836","https://openalex.org/I4210140797"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Marco Tarzia","raw_affiliation_strings":["Institut Universitaire de France 4 , 1 rue Descartes, 75231 Paris Cedex 05, France","LPTMC, CNRS-UMR 7600, Sorbonne Universit\u00e9 3 , 4 Place Jussieu, F-75005 Paris, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut Universitaire de France 4 , 1 rue Descartes, 75231 Paris Cedex 05, France","institution_ids":["https://openalex.org/I185839726"]},{"raw_affiliation_string":"LPTMC, CNRS-UMR 7600, Sorbonne Universit\u00e9 3 , 4 Place Jussieu, F-75005 Paris, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I39804081","https://openalex.org/I4210140797"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5024005494","https://openalex.org/A5047047018"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I170897317","https://openalex.org/I185839726","https://openalex.org/I39804081","https://openalex.org/I4210140797"],"apc_list":{"value":3500,"currency":"USD","value_usd":3500},"apc_paid":null,"fwci":0.4174,"has_fulltext":true,"cited_by_count":5,"citation_normalized_percentile":{"value":0.52186002,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":96},"biblio":{"volume":"155","issue":"2","first_page":"024501","last_page":"024501"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10591","display_name":"Theoretical and Computational Physics","score":0.9467999935150146,"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":0.9467999935150146,"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/T11471","display_name":"Block Copolymer Self-Assembly","score":0.020800000056624413,"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"}},{"id":"https://openalex.org/T10474","display_name":"Material Dynamics and Properties","score":0.01209999993443489,"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/bethe-lattice","display_name":"Bethe lattice","score":0.9039999842643738},{"id":"https://openalex.org/keywords/exactly-solvable-models","display_name":"exactly solvable models","score":0.7580000162124634},{"id":"https://openalex.org/keywords/gelation","display_name":"gelation","score":0.984000027179718},{"id":"https://openalex.org/keywords/percolation","display_name":"percolation","score":0.7519999742507935},{"id":"https://openalex.org/keywords/criticality","display_name":"criticality","score":0.7900000214576721},{"id":"https://openalex.org/keywords/glassiness","display_name":"glassiness","score":0.9610000252723694}],"concepts":[{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.6241000294685364},{"id":"https://openalex.org/C2778722038","wikidata":"https://www.wikidata.org/wiki/Q17030643","display_name":"Homogenization (climate)","level":3,"score":0.6189000010490417},{"id":"https://openalex.org/C2781249634","wikidata":"https://www.wikidata.org/wiki/Q794168","display_name":"Bethe lattice","level":3,"score":0.6050000190734863},{"id":"https://openalex.org/C142259097","wikidata":"https://www.wikidata.org/wiki/Q5891314","display_name":"Homogeneity (statistics)","level":2,"score":0.5583000183105469},{"id":"https://openalex.org/C2779772531","wikidata":"https://www.wikidata.org/wiki/Q19689164","display_name":"Void (composites)","level":2,"score":0.5354999899864197},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5120999813079834},{"id":"https://openalex.org/C164866538","wikidata":"https://www.wikidata.org/wiki/Q367351","display_name":"Cluster (spacecraft)","level":2,"score":0.48829999566078186},{"id":"https://openalex.org/C125611927","wikidata":"https://www.wikidata.org/wiki/Q17008131","display_name":"Criticality","level":2,"score":0.47999998927116394},{"id":"https://openalex.org/C204530211","wikidata":"https://www.wikidata.org/wiki/Q752823","display_name":"Thermal","level":2,"score":0.4194999933242798},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.36390000581741333},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.3246000111103058},{"id":"https://openalex.org/C73301696","wikidata":"https://www.wikidata.org/wiki/Q5469984","display_name":"Formalism (music)","level":3,"score":0.32170000672340393},{"id":"https://openalex.org/C26873012","wikidata":"https://www.wikidata.org/wiki/Q214781","display_name":"Condensed matter physics","level":1,"score":0.3181000053882599},{"id":"https://openalex.org/C80191262","wikidata":"https://www.wikidata.org/wiki/Q5477668","display_name":"Fragility","level":2,"score":0.3133000135421753},{"id":"https://openalex.org/C2778517922","wikidata":"https://www.wikidata.org/wiki/Q7140482","display_name":"Particle (ecology)","level":2,"score":0.31189998984336853},{"id":"https://openalex.org/C2778999785","wikidata":"https://www.wikidata.org/wiki/Q5136697","display_name":"Cluster expansion","level":2,"score":0.29829999804496765},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.29490000009536743},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.2851000130176544},{"id":"https://openalex.org/C179003449","wikidata":"https://www.wikidata.org/wiki/Q1757458","display_name":"Particle system","level":2,"score":0.2786000072956085},{"id":"https://openalex.org/C47822265","wikidata":"https://www.wikidata.org/wiki/Q854457","display_name":"Complex system","level":2,"score":0.26930001378059387},{"id":"https://openalex.org/C5637370","wikidata":"https://www.wikidata.org/wiki/Q402478","display_name":"Thermal fluctuations","level":2,"score":0.26249998807907104},{"id":"https://openalex.org/C116672817","wikidata":"https://www.wikidata.org/wiki/Q1454986","display_name":"Physical system","level":2,"score":0.2578999996185303}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1063/5.0052111","doi":"https://doi.org/10.1063/5.0052111","is_oa":true,"landing_page_url":"https://doi.org/10.1063/5.0052111","pdf_url":"https://aip.scitation.org/doi/pdf/10.1063/5.0052111","source":{"id":"https://openalex.org/S77047749","display_name":"The Journal of Chemical Physics","issn_l":"0021-9606","issn":["0021-9606","1089-7690","1520-9032"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-1","ki-jl-1","medline","norway-1","poland-100","russia-white-list-2","vabb-shw"],"host_organization":"https://openalex.org/P4310320257","host_organization_name":"American Institute of Physics","host_organization_lineage":["https://openalex.org/P4310320257"],"host_organization_lineage_names":["American Institute of Physics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Journal of Chemical Physics","raw_type":"journal-article"},{"id":"pmid:34266261","doi":null,"is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/34266261","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":"The Journal of chemical physics","raw_type":"Journal Article"},{"id":"pmh:oai:arXiv.org:2103.14450","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2103.14450","pdf_url":"https://arxiv.org/pdf/2103.14450","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":"pmh:oai:HAL:hal-03290258v1","doi":null,"is_oa":true,"landing_page_url":"https://hal.sorbonne-universite.fr/hal-03290258","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"The Journal of Chemical Physics, 2021, 155 (2), pp.024501. &#x27E8;10.1063/5.0052111&#x27E9;","raw_type":"info:eu-repo/semantics/article"},{"id":"doi:10.48550/arxiv.2103.14450","doi":"https://doi.org/10.48550/arxiv.2103.14450","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2103.14450","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":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"doi:10.1063/5.0052111","doi":"https://doi.org/10.1063/5.0052111","is_oa":true,"landing_page_url":"https://doi.org/10.1063/5.0052111","pdf_url":"https://aip.scitation.org/doi/pdf/10.1063/5.0052111","source":{"id":"https://openalex.org/S77047749","display_name":"The Journal of Chemical Physics","issn_l":"0021-9606","issn":["0021-9606","1089-7690","1520-9032"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-1","ki-jl-1","medline","norway-1","poland-100","russia-white-list-2","vabb-shw"],"host_organization":"https://openalex.org/P4310320257","host_organization_name":"American Institute of Physics","host_organization_lineage":["https://openalex.org/P4310320257"],"host_organization_lineage_names":["American Institute of Physics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Journal of Chemical Physics","raw_type":"journal-article"},"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G3175284730","display_name":"Soft Matter Simulation and Theory of the Crystal Assembly of Globular and Membrane Proteins","funder_award_id":"1749374","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G855171118","display_name":null,"funder_award_id":"DMR-1749374","funder_id":"https://openalex.org/F4320337367","funder_display_name":"Division of Materials Research"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320337367","display_name":"Division of Materials Research","ror":"https://ror.org/01pc7k308"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3148317774.pdf","grobid_xml":"https://content.openalex.org/works/W3148317774.grobid-xml"},"referenced_works_count":83,"referenced_works":["https://openalex.org/W1751639285","https://openalex.org/W1847670277","https://openalex.org/W1966927207","https://openalex.org/W1969558457","https://openalex.org/W1972412734","https://openalex.org/W1976041303","https://openalex.org/W1978733786","https://openalex.org/W1981575070","https://openalex.org/W1985547751","https://openalex.org/W1985806362","https://openalex.org/W1985875969","https://openalex.org/W1986971033","https://openalex.org/W1988360100","https://openalex.org/W1988828791","https://openalex.org/W1991777548","https://openalex.org/W1992904606","https://openalex.org/W1994062252","https://openalex.org/W1998123154","https://openalex.org/W1999540904","https://openalex.org/W2001111977","https://openalex.org/W2002456715","https://openalex.org/W2003231089","https://openalex.org/W2004466031","https://openalex.org/W2007395959","https://openalex.org/W2009086398","https://openalex.org/W2012695557","https://openalex.org/W2019669261","https://openalex.org/W2020770674","https://openalex.org/W2022083710","https://openalex.org/W2022483133","https://openalex.org/W2023463028","https://openalex.org/W2023873877","https://openalex.org/W2026132129","https://openalex.org/W2026489401","https://openalex.org/W2027840351","https://openalex.org/W2028398167","https://openalex.org/W2028410420","https://openalex.org/W2032548564","https://openalex.org/W2034501059","https://openalex.org/W2037139490","https://openalex.org/W2038944547","https://openalex.org/W2040693975","https://openalex.org/W2051814234","https://openalex.org/W2055925765","https://openalex.org/W2058827055","https://openalex.org/W2059861515","https://openalex.org/W2063533217","https://openalex.org/W2064341797","https://openalex.org/W2066334438","https://openalex.org/W2074198529","https://openalex.org/W2076290627","https://openalex.org/W2081367319","https://openalex.org/W2082046361","https://openalex.org/W2088244878","https://openalex.org/W2090949792","https://openalex.org/W2094299802","https://openalex.org/W2097259736","https://openalex.org/W2106036766","https://openalex.org/W2124824381","https://openalex.org/W2130890752","https://openalex.org/W2135902765","https://openalex.org/W2137531020","https://openalex.org/W2154617795","https://openalex.org/W2170103495","https://openalex.org/W2172949807","https://openalex.org/W2213459033","https://openalex.org/W2228084282","https://openalex.org/W2411841105","https://openalex.org/W2507495276","https://openalex.org/W2560586117","https://openalex.org/W2734753793","https://openalex.org/W2763421848","https://openalex.org/W2786803605","https://openalex.org/W2913625290","https://openalex.org/W2944599003","https://openalex.org/W2951694877","https://openalex.org/W2973053261","https://openalex.org/W2977097567","https://openalex.org/W2982651213","https://openalex.org/W3007305288","https://openalex.org/W3039227635","https://openalex.org/W3151516480","https://openalex.org/W3174635306"],"related_works":[],"abstract_inverted_index":{"The":[0],"periodic":[1],"microphases":[2,81],"that":[3,61,69],"self-assemble":[4],"in":[5],"systems":[6],"with":[7],"competing":[8],"short-range":[9],"attractive":[10],"and":[11,20,24,111,131,136,139,142],"long-range":[12],"repulsive":[13],"(SALR)":[14],"interactions":[15],"are":[16,40],"structurally":[17,41],"both":[18],"rich":[19,44],"elegant.":[21],"Significant":[22],"theoretical":[23],"computational":[25],"efforts":[26],"have":[27,50],"thus":[28],"been":[29,52],"dedicated":[30],"to":[31],"untangling":[32],"their":[33,74],"properties.":[34],"By":[35,92],"contrast,":[36],"disordered":[37,80,107],"microphases,":[38,108],"which":[39],"just":[42],"as":[43,48,53,115,117],"but":[45],"nowhere":[46],"near":[47],"elegant,":[49],"not":[51],"carefully":[54],"considered.":[55],"Part":[56],"of":[57,73,101,106],"the":[58,89,94,102,126],"difficulty":[59],"is":[60],"simple":[62],"mean-field":[63],"descriptions":[64],"make":[65],"a":[66,85],"homogeneity":[67],"assumption":[68],"washes":[70],"away":[71],"all":[72],"structural":[75,104,130],"features.":[76],"Here,":[77],"we":[78],"study":[79],"by":[82],"exactly":[83],"solving":[84],"SALR":[86],"model":[87],"on":[88],"Bethe":[90],"lattice.":[91],"sidestepping":[93],"homogenization":[95],"assumption,":[96],"this":[97],"treatment":[98],"recapitulates":[99],"many":[100],"key":[103],"regimes":[105],"including":[109],"particle":[110],"void":[112],"cluster":[113],"fluids":[114],"well":[116],"gelation.":[118],"This":[119],"analysis":[120],"also":[121],"provides":[122],"physical":[123,137],"insight":[124],"into":[125],"relationship":[127],"between":[128,134,140],"various":[129],"thermal":[132],"observables,":[133],"criticality":[135],"percolation,":[138],"glassiness":[141],"microphase":[143],"ordering.":[144]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":1}],"updated_date":"2026-10-12T09:40:04.860316","created_date":"2021-04-13T00:00:00"}
