{"id":"https://openalex.org/W1997808247","doi":"https://doi.org/10.1103/physreve.88.032126","title":"Extended finite-size scaling of synchronized coupled oscillators","display_name":"Extended finite-size scaling of synchronized coupled oscillators","publication_year":2013,"publication_date":"2013-09-18","ids":{"openalex":"https://openalex.org/W1997808247","doi":"https://doi.org/10.1103/physreve.88.032126","mag":"1997808247","pmid":"https://pubmed.ncbi.nlm.nih.gov/24125232"},"language":"en","primary_location":{"id":"doi:10.1103/physreve.88.032126","doi":"https://doi.org/10.1103/physreve.88.032126","is_oa":false,"landing_page_url":"https://doi.org/10.1103/physreve.88.032126","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"},"parent_works":[],"lineage":["https://openalex.org/W1997808247"],"child_works_count":0,"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/1307.2408","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5008807859","display_name":"Chul\u2010Ho Choi","orcid":"https://orcid.org/0000-0001-6536-1964","observed_orcids":["https://orcid.org/0000-0001-6536-1964"]},"institutions":[{"id":"https://openalex.org/I139264467","display_name":"Seoul National University","ror":"https://ror.org/04h9pn542","country_code":"KR","type":"education","lineage":["https://openalex.org/I139264467"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Chulho Choi","raw_affiliation_strings":["Department of Physics and Astronomy, Seoul National University, Seoul 151-747, Korea"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics and Astronomy, Seoul National University, Seoul 151-747, Korea","institution_ids":["https://openalex.org/I139264467"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5080422948","display_name":"Meesoon Ha","orcid":"https://orcid.org/0000-0003-1279-5325","observed_orcids":["https://orcid.org/0000-0003-1279-5325"]},"institutions":[{"id":"https://openalex.org/I152238500","display_name":"Chosun University","ror":"https://ror.org/01zt9a375","country_code":"KR","type":"education","lineage":["https://openalex.org/I152238500"]}],"countries":["KR"],"is_corresponding":true,"raw_author_name":"Meesoon Ha","raw_affiliation_strings":["Department of Physics Education, Chosun University, Gwangju 501-759, Korea"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics Education, Chosun University, Gwangju 501-759, Korea","institution_ids":["https://openalex.org/I152238500"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5015642017","display_name":"B. Kahng","orcid":"https://orcid.org/0000-0002-9099-6395","observed_orcids":["https://orcid.org/0000-0002-9099-6395"]},"institutions":[{"id":"https://openalex.org/I139264467","display_name":"Seoul National University","ror":"https://ror.org/04h9pn542","country_code":"KR","type":"education","lineage":["https://openalex.org/I139264467"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Byungnam Kahng","raw_affiliation_strings":["Department of Physics and Astronomy, Seoul National University, Seoul 151-747, Korea"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics and Astronomy, Seoul National University, Seoul 151-747, Korea","institution_ids":["https://openalex.org/I139264467"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5080422948"],"corresponding_institution_ids":["https://openalex.org/I152238500"],"apc_list":null,"apc_paid":null,"fwci":0.7181,"has_fulltext":true,"cited_by_count":23,"citation_normalized_percentile":{"value":0.65251098,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":97},"biblio":{"volume":"88","issue":"3","first_page":"032126","last_page":"032126"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9657999873161316,"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"}},"topics":[{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9657999873161316,"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"}},{"id":"https://openalex.org/T10591","display_name":"Theoretical and Computational Physics","score":0.015300000086426735,"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/T10244","display_name":"Chaos control and synchronization","score":0.002099999925121665,"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/finite-size-scaling","display_name":"finite-size scaling","score":0.8880000114440918},{"id":"https://openalex.org/keywords/coupled-oscillators","display_name":"coupled oscillators","score":0.7760000228881836},{"id":"https://openalex.org/keywords/kuramoto-model","display_name":"Kuramoto model","score":0.8989999890327454},{"id":"https://openalex.org/keywords/phase-synchronization","display_name":"phase synchronization","score":0.9879999756813049},{"id":"https://openalex.org/keywords/dynamic-scaling","display_name":"dynamic scaling","score":0.7570000290870667},{"id":"https://openalex.org/keywords/critical-exponents","display_name":"critical exponents","score":0.9559999704360962},{"id":"https://openalex.org/keywords/critical-coupling-strength","display_name":"critical coupling strength","score":0.9900000095367432},{"id":"https://openalex.org/keywords/correlation-volume","display_name":"correlation volume","score":0.6759999990463257},{"id":"https://openalex.org/keywords/thermal-noise","display_name":"thermal noise","score":0.6809999942779541},{"id":"https://openalex.org/keywords/frequency-sampling","display_name":"frequency sampling","score":0.6439999938011169}],"concepts":[{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.8514220118522644},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.7814965844154358},{"id":"https://openalex.org/C2780042749","wikidata":"https://www.wikidata.org/wiki/Q604374","display_name":"Kuramoto model","level":4,"score":0.708918571472168},{"id":"https://openalex.org/C2778562939","wikidata":"https://www.wikidata.org/wiki/Q1298791","display_name":"Synchronization (alternating current)","level":3,"score":0.6731929183006287},{"id":"https://openalex.org/C164154869","wikidata":"https://www.wikidata.org/wiki/Q901927","display_name":"Critical exponent","level":3,"score":0.6447530388832092},{"id":"https://openalex.org/C177407944","wikidata":"https://www.wikidata.org/wiki/Q7998780","display_name":"Widom scaling","level":4,"score":0.6431916356086731},{"id":"https://openalex.org/C2780388253","wikidata":"https://www.wikidata.org/wiki/Q5421508","display_name":"Exponent","level":2,"score":0.6256818175315857},{"id":"https://openalex.org/C194027367","wikidata":"https://www.wikidata.org/wiki/Q4420475","display_name":"Phase synchronization","level":3,"score":0.5362066626548767},{"id":"https://openalex.org/C131584629","wikidata":"https://www.wikidata.org/wiki/Q4308705","display_name":"Coupling (piping)","level":2,"score":0.4782361388206482},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.4525326192378998},{"id":"https://openalex.org/C194807282","wikidata":"https://www.wikidata.org/wiki/Q900634","display_name":"Critical phenomena","level":3,"score":0.4290298521518707},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.42758089303970337},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.42233967781066895},{"id":"https://openalex.org/C149288129","wikidata":"https://www.wikidata.org/wiki/Q185357","display_name":"Phase transition","level":2,"score":0.41640469431877136},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3994901776313782},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3369326889514923},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.22531825304031372},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1815810203552246},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.13209402561187744},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0717499852180481},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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},{"id":"https://openalex.org/C191897082","wikidata":"https://www.wikidata.org/wiki/Q11467","display_name":"Metallurgy","level":1,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1103/physreve.88.032126","doi":"https://doi.org/10.1103/physreve.88.032126","is_oa":false,"landing_page_url":"https://doi.org/10.1103/physreve.88.032126","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:24125232","doi":null,"is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/24125232","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:1307.2408","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1307.2408","pdf_url":"https://arxiv.org/pdf/1307.2408","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":"mag:1588972527","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/1307.2408","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1307.2408","doi":"https://doi.org/10.48550/arxiv.1307.2408","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1307.2408","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:1307.2408","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1307.2408","pdf_url":"https://arxiv.org/pdf/1307.2408","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":[{"id":"https://openalex.org/G5590288555","display_name":null,"funder_award_id":"2010-0015066","funder_id":"https://openalex.org/F4320322030","funder_display_name":"Ministry of Science, ICT and Future Planning"}],"funders":[{"id":"https://openalex.org/F4320322030","display_name":"Ministry of Science, ICT and Future Planning","ror":"https://ror.org/032e49973"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1997808247.pdf","grobid_xml":"https://content.openalex.org/works/W1997808247.grobid-xml"},"referenced_works_count":29,"referenced_works":["https://openalex.org/W29182310","https://openalex.org/W111157985","https://openalex.org/W950991549","https://openalex.org/W1662354194","https://openalex.org/W1968829116","https://openalex.org/W1970042852","https://openalex.org/W1974573143","https://openalex.org/W1986121027","https://openalex.org/W1996977089","https://openalex.org/W2001383211","https://openalex.org/W2003029750","https://openalex.org/W2012342328","https://openalex.org/W2014381682","https://openalex.org/W2017763816","https://openalex.org/W2018314770","https://openalex.org/W2019861006","https://openalex.org/W2027836915","https://openalex.org/W2033278950","https://openalex.org/W2062135079","https://openalex.org/W2066992665","https://openalex.org/W2080407250","https://openalex.org/W2092782423","https://openalex.org/W2105763846","https://openalex.org/W2106441780","https://openalex.org/W2139604281","https://openalex.org/W2158443610","https://openalex.org/W2168448159","https://openalex.org/W2977474616","https://openalex.org/W4211028766"],"related_works":["https://openalex.org/W2734524037","https://openalex.org/W395532018","https://openalex.org/W7204107546","https://openalex.org/W1973110987","https://openalex.org/W3038515004","https://openalex.org/W2397608026","https://openalex.org/W1990922275","https://openalex.org/W2027836915","https://openalex.org/W2130891451"],"abstract_inverted_index":{"We":[0],"present":[1],"a":[2,32],"systematic":[3],"analysis":[4],"of":[5,12,26,35,98],"dynamic":[6,61,105],"scaling":[7,43,62],"in":[8,24,45,78],"the":[9,13,27,46,56,70,75,88,96],"time":[10],"evolution":[11],"phase":[14,36],"order":[15],"parameter":[16],"for":[17],"coupled":[18],"oscillators":[19],"with":[20,74],"nonidentical":[21],"natural":[22,99],"frequencies":[23,100],"terms":[25],"Kuramoto":[28],"model.":[29],"This":[30],"provides":[31],"comprehensive":[33],"view":[34],"synchronization.":[37],"In":[38],"particular,":[39],"we":[40,92],"extend":[41],"finite-size":[42],"(FSS)":[44],"steady":[47],"state":[48],"to":[49,66],"dynamics,":[50],"determine":[51],"critical":[52,57,84],"exponents,":[53],"and":[54,101],"find":[55],"coupling":[58],"strength.":[59],"The":[60],"approach":[63],"enables":[64],"us":[65],"measure":[67],"not":[68],"only":[69],"FSS":[71,90],"exponent":[72],"associated":[73],"correlation":[76],"volume":[77],"finite":[79],"systems":[80],"but":[81],"also":[82,93],"thermodynamic":[83],"exponents.":[85],"Based":[86],"on":[87],"extended":[89],"theory,":[91],"discuss":[94],"how":[95],"sampling":[97],"thermal":[102],"noise":[103],"affect":[104],"scaling,":[106],"which":[107],"is":[108],"numerically":[109],"confirmed.":[110]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":3},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1}],"updated_date":"2026-11-14T11:04:58.165337","created_date":"2016-06-24T00:00:00"}
