{"id":"https://openalex.org/W7214323347","doi":"https://doi.org/10.48550/arxiv.2609.28834","title":"Fluctuation--Response Relation in Finite-Size Noisy Coupled Phase Oscillators","display_name":"Fluctuation--Response Relation in Finite-Size Noisy Coupled Phase Oscillators","publication_year":2026,"publication_date":"2026-09-23","ids":{"openalex":"https://openalex.org/W7214323347","doi":"https://doi.org/10.48550/arxiv.2609.28834"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2609.28834","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.28834","pdf_url":"https://arxiv.org/pdf/2609.28834","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"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2609.28834","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5072375360","display_name":"Mrinal Sarkar","orcid":"https://orcid.org/0000-0003-3112-6530","observed_orcids":["https://orcid.org/0000-0003-3112-6530"]},"institutions":[{"id":"https://openalex.org/I223822909","display_name":"Heidelberg University","ror":"https://ror.org/038t36y30","country_code":"DE","type":"education","lineage":["https://openalex.org/I223822909"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Sarkar, Mrinal","raw_affiliation_strings":["Institut f\u00fcr Theoretische Physik , Universit\u00e4t Heidelberg , 69120 Heidelberg , Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Theoretische Physik , Universit\u00e4t Heidelberg , 69120 Heidelberg , Germany","institution_ids":["https://openalex.org/I223822909"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5152842405","display_name":"Yoshiyuki Y. Yamaguchi","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I22299242","display_name":"Kyoto University","ror":"https://ror.org/02kpeqv85","country_code":"JP","type":"education","lineage":["https://openalex.org/I22299242"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Yamaguchi, Yoshiyuki Y.","raw_affiliation_strings":["Graduate School of Informatics , Kyoto University , Kyoto 606-8501 , Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Graduate School of Informatics , Kyoto University , Kyoto 606-8501 , Japan","institution_ids":["https://openalex.org/I22299242"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.8378999829292297,"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/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.8378999829292297,"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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.07840000092983246,"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/T11513","display_name":"stochastic dynamics and bifurcation","score":0.05350000038743019,"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/fluctuation-response-relation","display_name":"fluctuation-response relation","score":0.9959999918937683},{"id":"https://openalex.org/keywords/coupled-phase-oscillators","display_name":"coupled phase oscillators","score":0.9760000109672546},{"id":"https://openalex.org/keywords/finite-size-effects","display_name":"finite-size effects","score":0.7400000095367432},{"id":"https://openalex.org/keywords/noise","display_name":"noise","score":0.4740000069141388},{"id":"https://openalex.org/keywords/synchronization-transition","display_name":"synchronization transition","score":0.7239999771118164},{"id":"https://openalex.org/keywords/non-equilibrium-systems","display_name":"nonequilibrium systems","score":0.7730000019073486},{"id":"https://openalex.org/keywords/mean-field-model","display_name":"mean-field model","score":0.6759999990463257},{"id":"https://openalex.org/keywords/landau-pole","display_name":"Landau pole","score":0.7459999918937683},{"id":"https://openalex.org/keywords/linear-response","display_name":"linear response","score":0.5440000295639038},{"id":"https://openalex.org/keywords/weak-coupling-limit","display_name":"weak coupling limit","score":0.7480000257492065}],"concepts":[{"id":"https://openalex.org/C45347329","wikidata":"https://www.wikidata.org/wiki/Q5166604","display_name":"Convolution (computer science)","level":3,"score":0.5508000254631042},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.5439000129699707},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.5425999760627747},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5320000052452087},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.517300009727478},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.5131999850273132},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4555000066757202},{"id":"https://openalex.org/C156778621","wikidata":"https://www.wikidata.org/wiki/Q1365748","display_name":"Spectrum (functional analysis)","level":2,"score":0.4503999948501587},{"id":"https://openalex.org/C2778562939","wikidata":"https://www.wikidata.org/wiki/Q1298791","display_name":"Synchronization (alternating current)","level":3,"score":0.43290001153945923},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.4052000045776367},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.39809998869895935},{"id":"https://openalex.org/C53622274","wikidata":"https://www.wikidata.org/wiki/Q2496679","display_name":"Correlation function (quantum field theory)","level":3,"score":0.39489999413490295},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.3684000074863434},{"id":"https://openalex.org/C168110828","wikidata":"https://www.wikidata.org/wiki/Q1331626","display_name":"Spectral density","level":2,"score":0.3407999873161316},{"id":"https://openalex.org/C180205008","wikidata":"https://www.wikidata.org/wiki/Q159190","display_name":"Amplitude","level":2,"score":0.3370000123977661},{"id":"https://openalex.org/C93357160","wikidata":"https://www.wikidata.org/wiki/Q1545916","display_name":"Limit cycle","level":3,"score":0.298799991607666},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.29829999804496765},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.29499998688697815},{"id":"https://openalex.org/C194027367","wikidata":"https://www.wikidata.org/wiki/Q4420475","display_name":"Phase synchronization","level":3,"score":0.2924000024795532},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.2842999994754791},{"id":"https://openalex.org/C54767332","wikidata":"https://www.wikidata.org/wiki/Q1751572","display_name":"Phase response","level":3,"score":0.2793999910354614},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.27000001072883606},{"id":"https://openalex.org/C2778974888","wikidata":"https://www.wikidata.org/wiki/Q24977209","display_name":"Fluctuation spectrum","level":2,"score":0.2694000005722046},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.2662999927997589},{"id":"https://openalex.org/C2778439541","wikidata":"https://www.wikidata.org/wiki/Q7106412","display_name":"Oscillation (cell signaling)","level":2,"score":0.2648000121116638},{"id":"https://openalex.org/C8590192","wikidata":"https://www.wikidata.org/wiki/Q1054694","display_name":"Frequency response","level":2,"score":0.2603999972343445},{"id":"https://openalex.org/C80845027","wikidata":"https://www.wikidata.org/wiki/Q15144062","display_name":"Continuous spectrum","level":2,"score":0.2590999901294708},{"id":"https://openalex.org/C147317941","wikidata":"https://www.wikidata.org/wiki/Q1925419","display_name":"Describing function","level":3,"score":0.25760000944137573},{"id":"https://openalex.org/C2987423054","wikidata":"https://www.wikidata.org/wiki/Q185553","display_name":"Relative phase","level":3,"score":0.25440001487731934},{"id":"https://openalex.org/C198537423","wikidata":"https://www.wikidata.org/wiki/Q259838","display_name":"Multivibrator","level":3,"score":0.2540999948978424}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2609.28834","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.28834","pdf_url":"https://arxiv.org/pdf/2609.28834","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":"doi:10.48550/arxiv.2609.28834","doi":"https://doi.org/10.48550/arxiv.2609.28834","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.28834","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2609.28834","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.28834","pdf_url":"https://arxiv.org/pdf/2609.28834","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":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7214323347.pdf","grobid_xml":"https://content.openalex.org/works/W7214323347.grobid-xml"},"referenced_works_count":3,"referenced_works":["https://openalex.org/W4416368196","https://openalex.org/W7160533319","https://openalex.org/W7213620514"],"related_works":["https://openalex.org/W1987515491","https://openalex.org/W4416368196","https://openalex.org/W1579496322","https://openalex.org/W2168456473","https://openalex.org/W2023177221","https://openalex.org/W4414062696","https://openalex.org/W1994148136","https://openalex.org/W2090220080","https://openalex.org/W4416261069","https://openalex.org/W2064899356"],"abstract_inverted_index":{"Fluctuation--response":[0],"relations":[1],"(FRRs)":[2],"provide":[3],"a":[4,28,90,93],"fundamental":[5],"relation":[6],"between":[7,65],"spontaneous":[8],"fluctuations":[9,87,110],"and":[10,69,88,119],"the":[11,47,51,58,63,66,70,74,79,105,114],"linear":[12,106],"response":[13],"to":[14,57,99,122],"external":[15,67],"perturbations,":[16],"yet":[17],"their":[18],"validity":[19],"in":[20,46,73,113],"non-equilibrium":[21],"systems":[22],"remains":[23],"an":[24],"open":[25],"problem.":[26],"In":[27],"general":[29],"class":[30],"of":[31,36,44,104],"noisy,":[32],"finite-size,":[33],"mean-field":[34],"models":[35],"coupled":[37],"phase":[38,49],"oscillators,":[39],"we":[40],"reveal":[41],"two":[42],"types":[43],"FRRs":[45],"incoherent":[48],"below":[50],"synchronization":[52],"transition.":[53],"The":[54,77,108],"first,":[55],"corresponding":[56],"infinite-size":[59],"limit":[60],"(I-FRR),":[61],"involves":[62],"convolution":[64],"force":[68],"correlation":[71],"function":[72,95],"time":[75],"domain.":[76],"second,":[78],"finite-size":[80,86,109],"counterpart":[81],"(F-FRR),":[82],"is":[83],"governed":[84],"by":[85,129],"carries":[89],"correction":[91],"factor:":[92],"spectrum":[94],"whose":[96],"roots":[97],"correspond":[98],"eigenvalues,":[100],"or":[101,116],"Landau":[102],"poles,":[103],"operator.":[107],"are":[111,127],"suppressed":[112],"weak-coupling":[115],"strong-noise":[117],"limits,":[118],"F-FRR":[120],"reduces":[121],"I-FRR.":[123],"Our":[124],"analytical":[125],"findings":[126],"verified":[128],"extensive":[130],"numerical":[131],"simulations.":[132]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-09-26T00:00:00"}