{"id":"https://openalex.org/W2084273","doi":null,"title":"Universal scaling laws of fluctuations in finite systems","display_name":"Universal scaling laws of fluctuations in finite systems","publication_year":2003,"publication_date":"2003-06-01","ids":{"openalex":"https://openalex.org/W2084273","mag":"2084273"},"language":"en","primary_location":{"id":"mag:2084273","doi":null,"is_oa":true,"landing_page_url":"https://ui.adsabs.harvard.edu/abs/2003RMxFS..49b..25B/abstract","pdf_url":null,"source":{"id":"https://openalex.org/S198822434","display_name":"Revista Mexicana de F\u00edsica","issn_l":"0035-001X","issn":["0035-001X","2683-2224"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-c","latindex","norway-1","poland-20","russia-white-list-2","scielo"],"host_organization":"https://openalex.org/P4323253378","host_organization_name":"Mexican Society of Physics","host_organization_lineage":["https://openalex.org/P4323253378"],"host_organization_lineage_names":["Mexican Society of Physics"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"Revista Mexicana de F\u00edsica","raw_type":null},"volume":null,"type":"article","indexed_in":[],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://ui.adsabs.harvard.edu/abs/2003RMxFS..49b..25B/abstract","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5068439751","display_name":"Robert S. Botet","orcid":"https://orcid.org/0000-0002-8515-111X","observed_orcids":["https://orcid.org/0000-0002-8515-111X"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Robert Botet","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5041442420","display_name":"Marek P\u0142oszajczak","orcid":"https://orcid.org/0000-0001-5206-0273","observed_orcids":["https://orcid.org/0000-0001-5206-0273"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"M. P\u0142oszajczak","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0001-5206-0273","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.00013681,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"49","issue":"2","first_page":"24","last_page":"28"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10591","display_name":"Theoretical and Computational Physics","score":0.9980000257492065,"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":0.9980000257492065,"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/T11804","display_name":"Quantum many-body systems","score":0.00039999998989515007,"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/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.00039999998989515007,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/finite-size-scaling","display_name":"finite-size scaling","score":0.7480000257492065},{"id":"https://openalex.org/keywords/critical-fluctuations","display_name":"critical fluctuations","score":0.7770000100135803},{"id":"https://openalex.org/keywords/second-order-phase-transition","display_name":"second-order phase transition","score":0.9020000100135803},{"id":"https://openalex.org/keywords/dynamic-critical-phenomena","display_name":"dynamic critical phenomena","score":0.8429999947547913},{"id":"https://openalex.org/keywords/critical-exponents","display_name":"critical exponents","score":0.8299999833106995},{"id":"https://openalex.org/keywords/order-parameter-distribution","display_name":"order parameter distribution","score":0.7369999885559082},{"id":"https://openalex.org/keywords/potts-model","display_name":"Potts model","score":0.8119999766349792},{"id":"https://openalex.org/keywords/first-order-phase-transition","display_name":"first-order phase transition","score":0.8569999933242798},{"id":"https://openalex.org/keywords/phase-coexistence","display_name":"phase coexistence","score":0.6299999952316284}],"concepts":[{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.8777191638946533},{"id":"https://openalex.org/C177407944","wikidata":"https://www.wikidata.org/wiki/Q7998780","display_name":"Widom scaling","level":4,"score":0.818816065788269},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.703782320022583},{"id":"https://openalex.org/C2988430800","wikidata":"https://www.wikidata.org/wiki/Q428971","display_name":"Scaling law","level":3,"score":0.6472758054733276},{"id":"https://openalex.org/C196298200","wikidata":"https://www.wikidata.org/wiki/Q577705","display_name":"Critical point (mathematics)","level":2,"score":0.645272970199585},{"id":"https://openalex.org/C164154869","wikidata":"https://www.wikidata.org/wiki/Q901927","display_name":"Critical exponent","level":3,"score":0.6183112859725952},{"id":"https://openalex.org/C194807282","wikidata":"https://www.wikidata.org/wiki/Q900634","display_name":"Critical phenomena","level":3,"score":0.5863577127456665},{"id":"https://openalex.org/C149288129","wikidata":"https://www.wikidata.org/wiki/Q185357","display_name":"Phase transition","level":2,"score":0.5355830788612366},{"id":"https://openalex.org/C125611927","wikidata":"https://www.wikidata.org/wiki/Q17008131","display_name":"Criticality","level":2,"score":0.5033697485923767},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4767526090145111},{"id":"https://openalex.org/C98925819","wikidata":"https://www.wikidata.org/wiki/Q7235385","display_name":"Potts model","level":3,"score":0.45582354068756104},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4442419409751892},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.4359835982322693},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4133189916610718},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.30190184712409973},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.15935367345809937},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.1353670060634613},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","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},{"id":"https://openalex.org/C185544564","wikidata":"https://www.wikidata.org/wiki/Q81197","display_name":"Nuclear physics","level":1,"score":0.0},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0},{"id":"https://openalex.org/C51329190","wikidata":"https://www.wikidata.org/wiki/Q1076349","display_name":"Ising model","level":2,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"mag:2084273","doi":null,"is_oa":true,"landing_page_url":"https://ui.adsabs.harvard.edu/abs/2003RMxFS..49b..25B/abstract","pdf_url":null,"source":{"id":"https://openalex.org/S198822434","display_name":"Revista Mexicana de F\u00edsica","issn_l":"0035-001X","issn":["0035-001X","2683-2224"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-c","latindex","norway-1","poland-20","russia-white-list-2","scielo"],"host_organization":"https://openalex.org/P4323253378","host_organization_name":"Mexican Society of Physics","host_organization_lineage":["https://openalex.org/P4323253378"],"host_organization_lineage_names":["Mexican Society of Physics"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"Revista Mexicana de F\u00edsica","raw_type":null}],"best_oa_location":{"id":"mag:2084273","doi":null,"is_oa":true,"landing_page_url":"https://ui.adsabs.harvard.edu/abs/2003RMxFS..49b..25B/abstract","pdf_url":null,"source":{"id":"https://openalex.org/S198822434","display_name":"Revista Mexicana de F\u00edsica","issn_l":"0035-001X","issn":["0035-001X","2683-2224"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-c","latindex","norway-1","poland-20","russia-white-list-2","scielo"],"host_organization":"https://openalex.org/P4323253378","host_organization_name":"Mexican Society of Physics","host_organization_lineage":["https://openalex.org/P4323253378"],"host_organization_lineage_names":["Mexican Society of Physics"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"Revista Mexicana de F\u00edsica","raw_type":null},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":1,"referenced_works":["https://openalex.org/W2751862591"],"related_works":["https://openalex.org/W3102873532","https://openalex.org/W7072110703","https://openalex.org/W1671671741","https://openalex.org/W1971359884","https://openalex.org/W7098545985","https://openalex.org/W2018874519","https://openalex.org/W341878322","https://openalex.org/W2018842769","https://openalex.org/W1999251629","https://openalex.org/W1995723745"],"abstract_inverted_index":{"Universal":[0],"scaling":[1,31,47,66,96],"laws":[2],"of":[3,49,64,72,79,132,139,151],"fluctuations":[4,50],"(the":[5],"\u0394-scaling":[6],"laws)":[7],"occur":[8],"for":[9,25,93],"any":[10],"system":[11],"in":[12],"which":[13],"second-order":[14],"critical":[15,35,70,119],"behaviour":[16],"can":[17,21,51,57,124],"be":[18,22,52,125],"identified.":[19],"This":[20],"established":[23],"rigorously":[24],"at-equilibrium":[26],"systems":[27],"when":[28],"combined":[29],"withfinite-size":[30],"analysis.":[32],"For":[33],"dynamic":[34],"systems,":[36],"the":[37,40,43,46,62,65,69,73,80,99,106,118,121,133],"relations":[38],"between":[39,61],"order":[41],"parameter,":[42],"criticality":[44],"and":[45,68,98],"law":[48],"proven":[53],"numerically.":[54],"Moreover,":[55],"one":[56],"find":[58],"general":[59,149],"relation":[60],"form":[63],"function":[67],"exponents":[71],"corresponding":[74],"infinite":[75],"system.":[76],"The":[77],"case":[78],"first-order":[81],"phase":[82],"transition":[83],"is":[84,89,146],"currently":[85],"under":[86],"investigation.":[87],"There":[88],"no":[90],"background":[91],"theory":[92],"precise":[94],"finite-size":[95],"analysis,":[97],"results":[100],"are":[101],"numerical.":[102],"Systematic":[103],"data":[104],"on":[105],"q-state":[107],"2-dimensional":[108],"Potts":[109],"model":[110],"with":[111],"q":[112],">":[113],"4,":[114],"shows":[115],"that":[116],"at":[117],"point,":[120],"order-parameter":[122],"distribution":[123],"splitted":[126],"into":[127],"two":[128,134],"peaks":[129],"-":[130],"characteristic":[131],"coexistent":[135],"phases":[136],"-,":[137],"each":[138],"them":[140],"exhibiting":[141],"a":[142],"particular":[143],"\u0394-scaling.":[144],"Conjecture":[145],"done":[147],"about":[148],"occurence":[150],"this":[152],"feature.":[153]},"counts_by_year":[],"updated_date":"2026-10-28T10:33:24.094632","created_date":"2016-06-24T00:00:00"}