{"id":"https://openalex.org/W4400914906","doi":"https://doi.org/10.1103/physreve.110.014135","title":"Dynamical critical behavior of the two-dimensional three-state Potts model","display_name":"Dynamical critical behavior of the two-dimensional three-state Potts model","publication_year":2024,"publication_date":"2024-07-23","ids":{"openalex":"https://openalex.org/W4400914906","doi":"https://doi.org/10.1103/physreve.110.014135","pmid":"https://pubmed.ncbi.nlm.nih.gov/39161001"},"language":"en","primary_location":{"id":"doi:10.1103/physreve.110.014135","doi":"https://doi.org/10.1103/physreve.110.014135","is_oa":false,"landing_page_url":"https://doi.org/10.1103/physreve.110.014135","pdf_url":null,"source":{"id":"https://openalex.org/S4210235286","display_name":"Physical review. E","issn_l":"2470-0045","issn":["2470-0045","2470-0053","2470-0061"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-2","ki-jl-1","medline","norway-1","poland-140","russia-white-list-1","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","indexed_in":["arxiv","crossref","datacite","pubmed"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://repository.essex.ac.uk/38794/1/manuscript_revised.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5062928216","display_name":"Erol Vatansever","orcid":"https://orcid.org/0000-0003-1222-3941","observed_orcids":["https://orcid.org/0000-0003-1222-3941"]},"institutions":[{"id":"https://openalex.org/I193615760","display_name":"Dokuz Eyl\u00fcl University","ror":"https://ror.org/00dbd8b73","country_code":"TR","type":"education","lineage":["https://openalex.org/I193615760"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Erol Vatansever","raw_affiliation_strings":["Dokuz Eyl\u00fcl University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dokuz Eyl\u00fcl University","institution_ids":["https://openalex.org/I193615760"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5091865739","display_name":"G. T. Barkema","orcid":"https://orcid.org/0000-0001-5289-4147","observed_orcids":["https://orcid.org/0000-0001-5289-4147"]},"institutions":[{"id":"https://openalex.org/I193662353","display_name":"Utrecht University","ror":"https://ror.org/04pp8hn57","country_code":"NL","type":"education","lineage":["https://openalex.org/I193662353"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Gerard T. Barkema","raw_affiliation_strings":["Utrecht University","Department of Information and Computing Sciences, Utrecht University, Princetonplein 5, 3584 CC Utrecht, the Netherlands"],"raw_orcid":"https://orcid.org/0000-0001-5289-4147","affiliations":[{"raw_affiliation_string":"Utrecht University","institution_ids":["https://openalex.org/I193662353"]},{"raw_affiliation_string":"Department of Information and Computing Sciences, Utrecht University, Princetonplein 5, 3584 CC Utrecht, the Netherlands","institution_ids":["https://openalex.org/I193662353"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5050477321","display_name":"Nikolaos G. Fytas","orcid":"https://orcid.org/0000-0002-9428-1709","observed_orcids":["https://orcid.org/0000-0002-9428-1709"]},"institutions":[{"id":"https://openalex.org/I110002522","display_name":"University of Essex","ror":"https://ror.org/02nkf1q06","country_code":"GB","type":"education","lineage":["https://openalex.org/I110002522"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Nikolaos G. Fytas","raw_affiliation_strings":["University of Essex","School of Mathematics, Statistics and Actuarial Science, University of Essex, Colchester CO4 3SQ, United Kingdom"],"raw_orcid":"https://orcid.org/0000-0002-9428-1709","affiliations":[{"raw_affiliation_string":"University of Essex","institution_ids":["https://openalex.org/I110002522"]},{"raw_affiliation_string":"School of Mathematics, Statistics and Actuarial Science, University of Essex, Colchester CO4 3SQ, United Kingdom","institution_ids":["https://openalex.org/I110002522"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.2851,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.39551692,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"110","issue":"1","first_page":"014135","last_page":"014135"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10591","display_name":"Theoretical and Computational Physics","score":0.9932000041007996,"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":0.9932000041007996,"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":0.0017999999690800905,"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":0.0017000000225380063,"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/three-state-potts-model","display_name":"three-state Potts model","score":0.9300000071525574},{"id":"https://openalex.org/keywords/single-spin-flip-dynamics","display_name":"single-spin-flip dynamics","score":0.9020000100135803},{"id":"https://openalex.org/keywords/dynamical-exponent","display_name":"dynamical exponent","score":0.8090000152587891},{"id":"https://openalex.org/keywords/anomalous-diffusion","display_name":"anomalous diffusion","score":0.8450000286102295},{"id":"https://openalex.org/keywords/stretched-exponential-decay","display_name":"stretched exponential decay","score":0.9449999928474426},{"id":"https://openalex.org/keywords/crossover-behavior","display_name":"crossover behavior","score":0.4779999852180481},{"id":"https://openalex.org/keywords/universality-class","display_name":"universality class","score":0.6399999856948853},{"id":"https://openalex.org/keywords/2d-ising-model","display_name":"two-dimensional Ising model","score":0.6370000243186951}],"concepts":[{"id":"https://openalex.org/C98925819","wikidata":"https://www.wikidata.org/wiki/Q7235385","display_name":"Potts model","level":3,"score":0.9091148376464844},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.6433014869689941},{"id":"https://openalex.org/C107277493","wikidata":"https://www.wikidata.org/wiki/Q5101824","display_name":"Chiral Potts curve","level":4,"score":0.5147395133972168},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.4832690358161926},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3267378807067871},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3010715842247009},{"id":"https://openalex.org/C51329190","wikidata":"https://www.wikidata.org/wiki/Q1076349","display_name":"Ising model","level":2,"score":0.11010542511940002},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.05998659133911133}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1103/physreve.110.014135","doi":"https://doi.org/10.1103/physreve.110.014135","is_oa":false,"landing_page_url":"https://doi.org/10.1103/physreve.110.014135","pdf_url":null,"source":{"id":"https://openalex.org/S4210235286","display_name":"Physical review. E","issn_l":"2470-0045","issn":["2470-0045","2470-0053","2470-0061"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-2","ki-jl-1","medline","norway-1","poland-140","russia-white-list-1","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:39161001","doi":null,"is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/39161001","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","raw_type":"Journal Article"},{"id":"pmh:oai:repository.essex.ac.uk:38794","doi":null,"is_oa":true,"landing_page_url":"https://doi.org/10.1103/PhysRevE.110.014135","pdf_url":"https://repository.essex.ac.uk/38794/1/manuscript_revised.pdf","source":{"id":"https://openalex.org/S4306401236","display_name":"Open Access at Essex (University of Essex)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I110002522","host_organization_name":"University of Essex","host_organization_lineage":["https://openalex.org/I110002522"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"Article"},{"id":"pmh:oai:arXiv.org:2407.08198","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2407.08198","pdf_url":"https://arxiv.org/pdf/2407.08198","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:dspace.library.uu.nl:1874/472479","doi":null,"is_oa":true,"landing_page_url":"https://dspace.library.uu.nl/handle/1874/472479","pdf_url":null,"source":{"id":"https://openalex.org/S4306401649","display_name":"Utrecht University Repository (Utrecht University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I193662353","host_organization_name":"Utrecht University","host_organization_lineage":["https://openalex.org/I193662353"],"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":null,"raw_type":"Article"},{"id":"doi:10.48550/arxiv.2407.08198","doi":"https://doi.org/10.48550/arxiv.2407.08198","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2407.08198","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:repository.essex.ac.uk:38794","doi":null,"is_oa":true,"landing_page_url":"https://doi.org/10.1103/PhysRevE.110.014135","pdf_url":"https://repository.essex.ac.uk/38794/1/manuscript_revised.pdf","source":{"id":"https://openalex.org/S4306401236","display_name":"Open Access at Essex (University of Essex)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I110002522","host_organization_name":"University of Essex","host_organization_lineage":["https://openalex.org/I110002522"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"Article"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G5054134423","display_name":"Random-field effects in spin models: Supersymmetry, criticality, and universality","funder_award_id":"EP/X026116/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320322626","display_name":"T\u00fcrkiye Bilimsel ve Teknolojik Ara\u015ft\u0131rma Kurumu","ror":"https://ror.org/04w9kkr77"},{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4400914906.pdf","grobid_xml":"https://content.openalex.org/works/W4400914906.grobid-xml"},"referenced_works_count":33,"referenced_works":["https://openalex.org/W1666636243","https://openalex.org/W1965511886","https://openalex.org/W1979545065","https://openalex.org/W1987026344","https://openalex.org/W1998236996","https://openalex.org/W1998561593","https://openalex.org/W2000597435","https://openalex.org/W2000693769","https://openalex.org/W2001375173","https://openalex.org/W2018470623","https://openalex.org/W2026754090","https://openalex.org/W2028527362","https://openalex.org/W2034703076","https://openalex.org/W2041867043","https://openalex.org/W2047374230","https://openalex.org/W2066359652","https://openalex.org/W2068674173","https://openalex.org/W2078232447","https://openalex.org/W2082822537","https://openalex.org/W2124160467","https://openalex.org/W2152347619","https://openalex.org/W2159793005","https://openalex.org/W2160991686","https://openalex.org/W2166122743","https://openalex.org/W2246296081","https://openalex.org/W2320963419","https://openalex.org/W2787690342","https://openalex.org/W2808136083","https://openalex.org/W3006028047","https://openalex.org/W3006749615","https://openalex.org/W4229632203","https://openalex.org/W4285382686","https://openalex.org/W4386927785"],"related_works":["https://openalex.org/W4386927785","https://openalex.org/W2001375173","https://openalex.org/W7100903927","https://openalex.org/W2320963419","https://openalex.org/W2041867043","https://openalex.org/W7202395429","https://openalex.org/W2064549928","https://openalex.org/W2078232447","https://openalex.org/W1993634329","https://openalex.org/W1975124022"],"abstract_inverted_index":{"We":[0,18],"investigate":[1],"the":[2,7,21,25,38,46,69,76,84,92,119,124,136,148,158,168,176,185,213,217,221,228,250,261],"dynamical":[3,59],"critical":[4,141],"behavior":[5,114],"of":[6,24,32,41,48,138,147,154,188,204,252],"two-dimensional":[8,125],"three-state":[9,179],"Potts":[10,180],"model":[11,150],"with":[12,118],"single":[13,189],"spin-flip":[14,190],"dynamics":[15,191],"in":[16,68,75,83,116,209,216,243],"equilibrium.":[17],"focus":[19],"on":[20,37,91],"mean-squared":[22],"deviation":[23],"magnetization":[26,88,263],"M":[27],"(MSD_{M})":[28],"as":[29,34,36],"a":[30,145],"function":[31,40,161],"time,":[33],"well":[35,241],"autocorrelation":[39,89,160],"M.":[42],"Our":[43],"simulations":[44],"reveal":[45],"existence":[47,137],"two":[49,139,229],"crossover":[50],"behaviors":[51],"at":[52,182],"times":[53],"\u03c4_{1}\u223cL^{z_{1}}":[54],"and":[55,78,104,157,171,178],"\u03c4_{2}\u223cL^{z_{2}},":[56],"separating":[57],"three":[58,111],"regimes.":[60,112],"MSD_{M}":[61,156,205],"appears":[62],"to":[63,72,80,97],"shift":[64],"from":[65],"ordinary":[66],"diffusion":[67,74],"first":[70],"regime,":[71],"anomalous":[73,214],"second,":[77],"finally":[79],"be":[81],"constant":[82],"third":[85],"regime.":[86,219],"The":[87],"function,":[90],"other":[93],"hand,":[94],"is":[95,115,143,212,224,235],"found":[96],"fluctuate":[98],"between":[99,175,227],"exponential":[100,107],"decay,":[101,103],"stretched-exponential":[102],"then":[105],"again":[106],"decay":[108],"along":[109],"these":[110],"This":[113],"agreement":[117],"one":[120],"reported":[121],"recently":[122],"for":[123,184],"Ising":[126,149,177],"ferromagnet":[127],"[Phys.":[128],"Rev.":[129],"E":[130],"108,":[131],"034118":[132],"(2023)2470-004510.1103/PhysRevE.108.034118],":[133],"indicating":[134],"that":[135,163,207,233],"dynamic":[140],"exponents":[142,169],"not":[144,225,236],"peculiarity":[146],"itself.":[151],"A":[152],"comparison":[153],"both":[155],"magnetization's":[159],"suggests":[162],"within":[164],"our":[165,244,253],"numerical":[166],"accuracy":[167],"z_{1}":[170],"z_{2}":[172],"are":[173,200],"shared":[174,226,237],"models":[181],"least":[183],"particular":[186],"case":[187],"studied":[192],"here,":[193],"even":[194],"though":[195],"their":[196],"equilibrium":[197],"universality":[198],"classes":[199],"clearly":[201],"distinct.":[202],"Continuity":[203],"requires":[206],"\u03b1(z_{2}-z_{1})=\u03b3/\u03bd-z_{1},":[208],"which":[210],"\u03b1":[211,234],"exponent":[215],"intermediate":[218],"Since":[220],"ratio":[222],"\u03b3/\u03bd":[223],"models,":[230],"it":[231],"follows":[232],"either,":[238],"an":[239],"aspect":[240],"verified":[242],"simulations.":[245],"Finally,":[246],"we":[247],"also":[248],"discuss":[249],"relevance":[251],"main":[254],"findings":[255],"using":[256],"another":[257],"useful":[258],"observable,":[259],"namely":[260],"line":[262],"M_{l}.":[264]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2026-11-03T10:50:19.383937","created_date":"2024-07-24T00:00:00"}