{"id":"https://openalex.org/W4392354696","doi":"https://doi.org/10.3390/e26030221","title":"Ralph Kenna\u2019s Scaling Relations in Critical Phenomena","display_name":"Ralph Kenna\u2019s Scaling Relations in Critical Phenomena","publication_year":2024,"publication_date":"2024-02-29","ids":{"openalex":"https://openalex.org/W4392354696","doi":"https://doi.org/10.3390/e26030221","pmid":"https://pubmed.ncbi.nlm.nih.gov/38539733"},"language":"en","primary_location":{"id":"doi:10.3390/e26030221","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e26030221","pdf_url":"https://www.mdpi.com/1099-4300/26/3/221/pdf?version=1709220674","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj","pubmed"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1099-4300/26/3/221/pdf?version=1709220674","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5008830523","display_name":"Le\u00efla Moueddene","orcid":null},"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/I4387156043","display_name":"Laboratoire de Physique et Chimie Th\u00e9oriques","ror":"https://ror.org/02atkd403","country_code":null,"type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I4387156043","https://openalex.org/I90183372"]},{"id":"https://openalex.org/I73417466","display_name":"Coventry University","ror":"https://ror.org/01tgmhj36","country_code":"GB","type":"education","lineage":["https://openalex.org/I73417466"]},{"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","GB"],"is_corresponding":false,"raw_author_name":"Le\u00efla Moueddene","raw_affiliation_strings":["Centre for Fluid and Complex Systems, Coventry University, Coventry CV1 5FB, UK","L4 Collaboration, Leipzig-Lorraine-Lviv-Coventry, Europe","Laboratoire de Physique et Chimie Th\u00e9oriques, CNRS\u2014Universit\u00e9 de Lorraine, 54000 Nancy, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Centre for Fluid and Complex Systems, Coventry University, Coventry CV1 5FB, UK","institution_ids":["https://openalex.org/I73417466"]},{"raw_affiliation_string":"L4 Collaboration, Leipzig-Lorraine-Lviv-Coventry, Europe","institution_ids":[]},{"raw_affiliation_string":"Laboratoire de Physique et Chimie Th\u00e9oriques, CNRS\u2014Universit\u00e9 de Lorraine, 54000 Nancy, France","institution_ids":["https://openalex.org/I4387156043","https://openalex.org/I90183372","https://openalex.org/I1294671590"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5037195065","display_name":"Arnaldo Donoso","orcid":null},"institutions":[{"id":"https://openalex.org/I157286207","display_name":"National University of Ireland, Maynooth","ror":"https://ror.org/048nfjm95","country_code":"IE","type":"education","lineage":["https://openalex.org/I157286207"]}],"countries":["IE"],"is_corresponding":false,"raw_author_name":"Arnaldo Donoso","raw_affiliation_strings":["Department of Experimental Physics, Maynooth University, R51 A021 Maynooth, Co. Kildare, Ireland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Experimental Physics, Maynooth University, R51 A021 Maynooth, Co. Kildare, Ireland","institution_ids":["https://openalex.org/I157286207"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5018009107","display_name":"Bertrand Berche","orcid":"https://orcid.org/0000-0002-4254-807X"},"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/I4387156043","display_name":"Laboratoire de Physique et Chimie Th\u00e9oriques","ror":"https://ror.org/02atkd403","country_code":null,"type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I4387156043","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":"Bertrand Berche","raw_affiliation_strings":["Laboratoire de Physique et Chimie Th\u00e9oriques, CNRS\u2014Universit\u00e9 de Lorraine, 54000 Nancy, France"],"raw_orcid":"https://orcid.org/0000-0002-4254-807X","affiliations":[{"raw_affiliation_string":"Laboratoire de Physique et Chimie Th\u00e9oriques, CNRS\u2014Universit\u00e9 de Lorraine, 54000 Nancy, France","institution_ids":["https://openalex.org/I4387156043","https://openalex.org/I90183372","https://openalex.org/I1294671590"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5018009107"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4387156043","https://openalex.org/I90183372"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":2.291,"has_fulltext":true,"cited_by_count":8,"citation_normalized_percentile":{"value":0.87745728,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":98},"biblio":{"volume":"26","issue":"3","first_page":"221","last_page":"221"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10591","display_name":"Theoretical and Computational Physics","score":0.9970999956130981,"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":0.9970999956130981,"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/T11270","display_name":"Complex Systems and Time Series Analysis","score":0.9818999767303467,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T12261","display_name":"Statistical Mechanics and Entropy","score":0.9783999919891357,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear 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/scaling","display_name":"Scaling","score":0.8480933904647827},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.6462481021881104},{"id":"https://openalex.org/keywords/relation","display_name":"Relation (database)","score":0.5675789713859558},{"id":"https://openalex.org/keywords/critical-phenomena","display_name":"Critical phenomena","score":0.5057370662689209},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5044664144515991},{"id":"https://openalex.org/keywords/critical-exponent","display_name":"Critical exponent","score":0.4476642608642578},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3715117871761322},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3467838764190674},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.20489507913589478},{"id":"https://openalex.org/keywords/phase-transition","display_name":"Phase transition","score":0.12048760056495667},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.07951498031616211},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.06604903936386108},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.0454021692276001}],"concepts":[{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.8480933904647827},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.6462481021881104},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.5675789713859558},{"id":"https://openalex.org/C194807282","wikidata":"https://www.wikidata.org/wiki/Q900634","display_name":"Critical phenomena","level":3,"score":0.5057370662689209},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5044664144515991},{"id":"https://openalex.org/C164154869","wikidata":"https://www.wikidata.org/wiki/Q901927","display_name":"Critical exponent","level":3,"score":0.4476642608642578},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3715117871761322},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3467838764190674},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.20489507913589478},{"id":"https://openalex.org/C149288129","wikidata":"https://www.wikidata.org/wiki/Q185357","display_name":"Phase transition","level":2,"score":0.12048760056495667},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.07951498031616211},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.06604903936386108},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0454021692276001},{"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.3390/e26030221","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e26030221","pdf_url":"https://www.mdpi.com/1099-4300/26/3/221/pdf?version=1709220674","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},{"id":"pmid:38539733","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/38539733","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,"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":"Entropy (Basel, Switzerland)","raw_type":null},{"id":"pmh:oai:pure.atira.dk:openaire/84f1192e-b63b-4176-b3fe-21a6380489a6","is_oa":true,"landing_page_url":"https://pureportal.coventry.ac.uk/en/publications/84f1192e-b63b-4176-b3fe-21a6380489a6","pdf_url":null,"source":{"id":"https://openalex.org/S4306402411","display_name":"Pure (Coventry University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I73417466","host_organization_name":"Coventry University","host_organization_lineage":["https://openalex.org/I73417466"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Moueddene, L, Donoso, A & Berche, B 2024, 'Ralph Kenna\u2019s Scaling Relations in Critical Phenomena', Entropy, vol. 26, no. 3, 221. https://doi.org/10.3390/e26030221","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:pubmedcentral.nih.gov:10969760","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/10969760","pdf_url":"https://pmc.ncbi.nlm.nih.gov/articles/PMC10969760/pdf/entropy-26-00221.pdf","source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy (Basel)","raw_type":"Text"},{"id":"pmh:oai:doaj.org/article:d19535abad0a4d72a866c702ae938a87","is_oa":true,"landing_page_url":"https://doaj.org/article/d19535abad0a4d72a866c702ae938a87","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy, Vol 26, Iss 3, p 221 (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/e26030221","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e26030221","pdf_url":"https://www.mdpi.com/1099-4300/26/3/221/pdf?version=1709220674","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Reduced inequalities","score":0.41999998688697815,"id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320310925","display_name":"Universit\u00e9 de Lorraine","ror":"https://ror.org/04vfs2w97"},{"id":"https://openalex.org/F4320320663","display_name":"Coventry University","ror":"https://ror.org/01tgmhj36"},{"id":"https://openalex.org/F4320326501","display_name":"Deutsch-Franz\u00f6sische Hochschule","ror":"https://ror.org/05f23gs03"}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4392354696.pdf"},"referenced_works_count":41,"referenced_works":["https://openalex.org/W1180793283","https://openalex.org/W1594884460","https://openalex.org/W1613930988","https://openalex.org/W1970917403","https://openalex.org/W1973487239","https://openalex.org/W1975098803","https://openalex.org/W1980090382","https://openalex.org/W1985459475","https://openalex.org/W1986688870","https://openalex.org/W1990922275","https://openalex.org/W1998036731","https://openalex.org/W2009768419","https://openalex.org/W2011875896","https://openalex.org/W2029538252","https://openalex.org/W2033549013","https://openalex.org/W2035723542","https://openalex.org/W2038612691","https://openalex.org/W2048255351","https://openalex.org/W2054118847","https://openalex.org/W2071245120","https://openalex.org/W2071720991","https://openalex.org/W2079036685","https://openalex.org/W2091331350","https://openalex.org/W2143573616","https://openalex.org/W2227075066","https://openalex.org/W2238367437","https://openalex.org/W2590194483","https://openalex.org/W2746834873","https://openalex.org/W2962803687","https://openalex.org/W3028000487","https://openalex.org/W3100347288","https://openalex.org/W3100752995","https://openalex.org/W3103579683","https://openalex.org/W3105426125","https://openalex.org/W3122680024","https://openalex.org/W3124216839","https://openalex.org/W3174658623","https://openalex.org/W4236351326","https://openalex.org/W4291149853","https://openalex.org/W4391706825","https://openalex.org/W6810347772"],"related_works":["https://openalex.org/W3100245096","https://openalex.org/W2519545954","https://openalex.org/W2056843536","https://openalex.org/W1995826969","https://openalex.org/W3217323610","https://openalex.org/W1990001655","https://openalex.org/W2083192414","https://openalex.org/W3102781811","https://openalex.org/W2137401909","https://openalex.org/W3140277658"],"abstract_inverted_index":{"In":[0],"this":[1],"note,":[2],"we":[3,25,45,52],"revisit":[4],"the":[5,35,39,42,55,60],"scaling":[6,36],"relations":[7],"among":[8],"\"hatted":[9],"critical":[10],"exponents\",":[11],"which":[12],"were":[13],"first":[14],"derived":[15],"by":[16],"Ralph":[17,63],"Kenna,":[18],"Des":[19],"Johnston,":[20],"and":[21,24,64],"Wolfhard":[22],"Janke,":[23],"propose":[26,47],"an":[27,48],"alternative":[28,49],"derivation":[29],"for":[30],"some":[31],"of":[32,41,62],"them.":[33],"For":[34],"relation":[37],"involving":[38],"behavior":[40],"correlation":[43],"function,":[44],"will":[46],"form":[50],"since":[51],"believe":[53],"that":[54],"expression":[56],"is":[57],"erroneous":[58],"in":[59],"work":[61],"his":[65],"collaborators.":[66]},"counts_by_year":[{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":3}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}