{"id":"https://openalex.org/W1479985504","doi":"https://doi.org/10.1103/physreve.89.032105","title":"Griffiths phase and critical behavior of the two-dimensional Potts models with long-range correlated disorder","display_name":"Griffiths phase and critical behavior of the two-dimensional Potts models with long-range correlated disorder","publication_year":2014,"publication_date":"2014-03-10","ids":{"openalex":"https://openalex.org/W1479985504","doi":"https://doi.org/10.1103/physreve.89.032105","mag":"1479985504","pmid":"https://pubmed.ncbi.nlm.nih.gov/24730788"},"language":"en","primary_location":{"id":"doi:10.1103/physreve.89.032105","doi":"https://doi.org/10.1103/physreve.89.032105","is_oa":false,"landing_page_url":"https://doi.org/10.1103/physreve.89.032105","pdf_url":null,"source":{"id":"https://openalex.org/S35412551","display_name":"Physical Review E","issn_l":"1539-3755","issn":["1539-3755","1550-2376"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","vabb-shw"],"host_organization":"https://openalex.org/P4310320261","host_organization_name":"American Physical Society","host_organization_lineage":["https://openalex.org/P4310320261"],"host_organization_lineage_names":["American Physical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical Review E","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["arxiv","crossref","datacite","pubmed"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1308.0734","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5012767218","display_name":"Christophe Chatelain","orcid":"https://orcid.org/0000-0002-5374-1799","observed_orcids":["https://orcid.org/0000-0002-5374-1799"]},"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/I4210147295","display_name":"Institut Jean Lamour","ror":"https://ror.org/05k1smh27","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I4210128300","https://openalex.org/I4210147295","https://openalex.org/I90183372"]},{"id":"https://openalex.org/I90183372","display_name":"Universit\u00e9 de Lorraine","ror":"https://ror.org/04vfs2w97","country_code":"FR","type":"education","lineage":["https://openalex.org/I90183372"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Christophe Chatelain","raw_affiliation_strings":["Groupe de Physique Statistique, D\u00e9partement P2M, Institut Jean Lamour, CNRS UMR No. 7198, Universit\u00e9 de Lorraine, F-54506 Vandoeuvre l\u00e8s Nancy, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Groupe de Physique Statistique, D\u00e9partement P2M, Institut Jean Lamour, CNRS UMR No. 7198, Universit\u00e9 de Lorraine, F-54506 Vandoeuvre l\u00e8s Nancy, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210147295","https://openalex.org/I90183372"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5012767218"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210147295","https://openalex.org/I90183372"],"apc_list":null,"apc_paid":null,"fwci":0.9462,"has_fulltext":true,"cited_by_count":21,"citation_normalized_percentile":{"value":0.71926842,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":98},"biblio":{"volume":"89","issue":"3","first_page":"032105","last_page":"032105"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10591","display_name":"Theoretical and Computational Physics","score":0.9990000128746033,"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":0.9990000128746033,"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/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.00019999999494757503,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T11804","display_name":"Quantum many-body systems","score":9.999999747378752e-05,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/griffiths-phase","display_name":"Griffiths phase","score":0.9850000143051147},{"id":"https://openalex.org/keywords/potts-model","display_name":"Potts model","score":0.953000009059906},{"id":"https://openalex.org/keywords/long-range-correlated-disorder","display_name":"long-range correlated disorder","score":0.9900000095367432},{"id":"https://openalex.org/keywords/critical-exponents","display_name":"critical exponents","score":0.7509999871253967},{"id":"https://openalex.org/keywords/finite-size-scaling","display_name":"finite-size scaling","score":0.9190000295639038},{"id":"https://openalex.org/keywords/hyperscaling-violation","display_name":"hyperscaling violation","score":0.8450000286102295},{"id":"https://openalex.org/keywords/disorder-correlations","display_name":"disorder correlations","score":0.7400000095367432},{"id":"https://openalex.org/keywords/two-dimensional-spin-models","display_name":"two-dimensional spin systems","score":0.7020000219345093},{"id":"https://openalex.org/keywords/disorder-induced-phase-transition","display_name":"disorder-induced phase transition","score":0.40299999713897705}],"concepts":[{"id":"https://openalex.org/C98925819","wikidata":"https://www.wikidata.org/wiki/Q7235385","display_name":"Potts model","level":3,"score":0.823972225189209},{"id":"https://openalex.org/C164154869","wikidata":"https://www.wikidata.org/wiki/Q901927","display_name":"Critical exponent","level":3,"score":0.7499999403953552},{"id":"https://openalex.org/C2780388253","wikidata":"https://www.wikidata.org/wiki/Q5421508","display_name":"Exponent","level":2,"score":0.7436742782592773},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.7375408411026001},{"id":"https://openalex.org/C107277493","wikidata":"https://www.wikidata.org/wiki/Q5101824","display_name":"Chiral Potts curve","level":4,"score":0.7173428535461426},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.6773756742477417},{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.6148986220359802},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5806453824043274},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.5453335046768188},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4847866892814636},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.4451026916503906},{"id":"https://openalex.org/C26873012","wikidata":"https://www.wikidata.org/wiki/Q214781","display_name":"Condensed matter physics","level":1,"score":0.4313787817955017},{"id":"https://openalex.org/C149288129","wikidata":"https://www.wikidata.org/wiki/Q185357","display_name":"Phase transition","level":2,"score":0.3733716607093811},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3065982460975647},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.21249684691429138},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.2106969952583313},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08698335289955139},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.07767990231513977},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.061418116092681885},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1103/physreve.89.032105","doi":"https://doi.org/10.1103/physreve.89.032105","is_oa":false,"landing_page_url":"https://doi.org/10.1103/physreve.89.032105","pdf_url":null,"source":{"id":"https://openalex.org/S35412551","display_name":"Physical Review E","issn_l":"1539-3755","issn":["1539-3755","1550-2376"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","vabb-shw"],"host_organization":"https://openalex.org/P4310320261","host_organization_name":"American Physical Society","host_organization_lineage":["https://openalex.org/P4310320261"],"host_organization_lineage_names":["American Physical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical Review E","raw_type":"journal-article"},{"id":"pmid:24730788","doi":null,"is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/24730788","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":"Physical review. E, Statistical, nonlinear, and soft matter physics","raw_type":"Journal Article"},{"id":"pmh:oai:arXiv.org:1308.0734","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1308.0734","pdf_url":"https://arxiv.org/pdf/1308.0734","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-00850126v2","doi":null,"is_oa":true,"landing_page_url":"https://hal.science/hal-00850126","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4405252976","host_organization_name":"Centre pour la Communication Scientifique Directe","host_organization_lineage":["https://openalex.org/I4405252976"],"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":"Physical Review E : Statistical, Nonlinear, and Soft Matter Physics [2001-2015], 2014, 89, pp.032105. ⟨10.1103/PhysRevE.89.032105⟩","raw_type":"info:eu-repo/semantics/article"},{"id":"doi:10.48550/arxiv.1308.0734","doi":"https://doi.org/10.48550/arxiv.1308.0734","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1308.0734","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":false,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1308.0734","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1308.0734","pdf_url":"https://arxiv.org/pdf/1308.0734","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":[],"funders":[{"id":"https://openalex.org/F4320327182","display_name":"Indian Institute of Science Education and Research Mohali","ror":"https://ror.org/01vztzd79"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1479985504.pdf","grobid_xml":"https://content.openalex.org/works/W1479985504.grobid-xml"},"referenced_works_count":75,"referenced_works":["https://openalex.org/W94547632","https://openalex.org/W1490382337","https://openalex.org/W1590167836","https://openalex.org/W1965511886","https://openalex.org/W1967583305","https://openalex.org/W1967970080","https://openalex.org/W1970062627","https://openalex.org/W1971419679","https://openalex.org/W1972336459","https://openalex.org/W1974045844","https://openalex.org/W1975220381","https://openalex.org/W1977835846","https://openalex.org/W1980046675","https://openalex.org/W1980069886","https://openalex.org/W1984274397","https://openalex.org/W1987282576","https://openalex.org/W1990151362","https://openalex.org/W1990382586","https://openalex.org/W1991983779","https://openalex.org/W1992189049","https://openalex.org/W1992474490","https://openalex.org/W1994837673","https://openalex.org/W1995518265","https://openalex.org/W1997928268","https://openalex.org/W1997960511","https://openalex.org/W1999034643","https://openalex.org/W1999222836","https://openalex.org/W2000251134","https://openalex.org/W2003605761","https://openalex.org/W2005395265","https://openalex.org/W2009237329","https://openalex.org/W2010419768","https://openalex.org/W2013355501","https://openalex.org/W2013590952","https://openalex.org/W2016546266","https://openalex.org/W2016561897","https://openalex.org/W2019177046","https://openalex.org/W2024708554","https://openalex.org/W2024780735","https://openalex.org/W2028518069","https://openalex.org/W2028668146","https://openalex.org/W2028751253","https://openalex.org/W2030753737","https://openalex.org/W2034052980","https://openalex.org/W2036323498","https://openalex.org/W2037139490","https://openalex.org/W2038945486","https://openalex.org/W2043902413","https://openalex.org/W2047196464","https://openalex.org/W2048975129","https://openalex.org/W2051972933","https://openalex.org/W2054170731","https://openalex.org/W2057887392","https://openalex.org/W2058813561","https://openalex.org/W2061279143","https://openalex.org/W2063372232","https://openalex.org/W2072028144","https://openalex.org/W2077332529","https://openalex.org/W2082222150","https://openalex.org/W2083024011","https://openalex.org/W2088968225","https://openalex.org/W2089168976","https://openalex.org/W2090605222","https://openalex.org/W2093520524","https://openalex.org/W2094110273","https://openalex.org/W2098224308","https://openalex.org/W2106554732","https://openalex.org/W2113776651","https://openalex.org/W2129530356","https://openalex.org/W2153478111","https://openalex.org/W2159793005","https://openalex.org/W2225220691","https://openalex.org/W3021679999","https://openalex.org/W3029401353","https://openalex.org/W4239185581"],"related_works":["https://openalex.org/W7100990175","https://openalex.org/W1964827099","https://openalex.org/W2043902413","https://openalex.org/W7204971851","https://openalex.org/W2804419567","https://openalex.org/W2534240378","https://openalex.org/W4385214665","https://openalex.org/W4401008585","https://openalex.org/W4313447155","https://openalex.org/W2107456338"],"abstract_inverted_index":{"The":[0,48,80],"q-state":[1],"Potts":[2,78],"model":[3],"with":[4],"long-range":[5],"correlated":[6],"disorder":[7,67],"is":[8,24,89],"studied":[9],"by":[10],"means":[11],"of":[12,26,29,46,62,66,74,76,86],"large-scale":[13],"Monte":[14],"Carlo":[15],"simulations":[16],"for":[17],"q=2,":[18],"4,":[19],"8,":[20],"and":[21,59],"16.":[22],"Evidence":[23],"given":[25],"the":[27,34,57,60,63,72,77,84,92],"existence":[28],"a":[30,43],"Griffiths":[31,94],"phase,":[32],"where":[33],"thermodynamic":[35],"quantities":[36],"display":[37],"an":[38],"algebraic":[39,64],"finite-size":[40],"scaling,":[41],"in":[42,91],"finite":[44],"range":[45],"temperatures.":[47],"critical":[49],"exponents":[50],"are":[51],"shown":[52],"to":[53,83],"depend":[54],"on":[55,71],"both":[56],"temperature":[58],"exponent":[61],"decay":[65],"correlations,":[68],"but":[69],"not":[70],"number":[73],"states":[75],"model.":[79],"mechanism":[81],"leading":[82],"violation":[85],"hyperscaling":[87],"relations":[88],"observed":[90],"entire":[93],"phase.":[95]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2016-06-24T00:00:00"}