{"id":"https://openalex.org/W2741041479","doi":"https://doi.org/10.1142/s1230161217400108","title":"Testing the Validity of the \u2018Local\u2019 and \u2018Global\u2019 GKLS Master Equations on an Exactly Solvable Model","display_name":"Testing the Validity of the \u2018Local\u2019 and \u2018Global\u2019 GKLS Master Equations on an Exactly Solvable Model","publication_year":2017,"publication_date":"2017-12-01","ids":{"openalex":"https://openalex.org/W2741041479","doi":"https://doi.org/10.1142/s1230161217400108","mag":"2741041479"},"language":"en","primary_location":{"id":"doi:10.1142/s1230161217400108","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1230161217400108","pdf_url":null,"source":{"id":"https://openalex.org/S27332288","display_name":"Open Systems & Information Dynamics","issn_l":"1230-1612","issn":["1230-1612","1573-1324","1793-7191"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Open Systems & Information Dynamics","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1707.09228","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5022699149","display_name":"J. Onam Gonz\u00e1lez","orcid":null},"institutions":[{"id":"https://openalex.org/I142263535","display_name":"University of Nottingham","ror":"https://ror.org/01ee9ar58","country_code":"GB","type":"education","lineage":["https://openalex.org/I142263535"]},{"id":"https://openalex.org/I158438070","display_name":"Universidad de La Laguna","ror":"https://ror.org/01r9z8p25","country_code":"ES","type":"education","lineage":["https://openalex.org/I158438070"]}],"countries":["ES","GB"],"is_corresponding":true,"raw_author_name":"J. Onam Gonz\u00e1lez","raw_affiliation_strings":["Dpto. de F\u00edsica and IUdEA: Instituto Universitario de Estudios Avanzados Universidad de La Laguna, 38203, Spain","School of Mathematical Sciences and Centre for the Mathematics and Theoretical Physics of Quantum Non-Equilibrium Systems, The University of Nottingham, University Park, Nottingham NG7 2RD, United Kingdom"],"affiliations":[{"raw_affiliation_string":"Dpto. de F\u00edsica and IUdEA: Instituto Universitario de Estudios Avanzados Universidad de La Laguna, 38203, Spain","institution_ids":["https://openalex.org/I158438070"]},{"raw_affiliation_string":"School of Mathematical Sciences and Centre for the Mathematics and Theoretical Physics of Quantum Non-Equilibrium Systems, The University of Nottingham, University Park, Nottingham NG7 2RD, United Kingdom","institution_ids":["https://openalex.org/I142263535"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5027870551","display_name":"Luis Alfonso Correa","orcid":"https://orcid.org/0000-0002-7357-1328"},"institutions":[{"id":"https://openalex.org/I142263535","display_name":"University of Nottingham","ror":"https://ror.org/01ee9ar58","country_code":"GB","type":"education","lineage":["https://openalex.org/I142263535"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Luis A. Correa","raw_affiliation_strings":["School of Mathematical Sciences and Centre for the Mathematics and Theoretical Physics of Quantum Non-Equilibrium Systems, The University of Nottingham, University Park, Nottingham NG7 2RD, United Kingdom"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences and Centre for the Mathematics and Theoretical Physics of Quantum Non-Equilibrium Systems, The University of Nottingham, University Park, Nottingham NG7 2RD, United Kingdom","institution_ids":["https://openalex.org/I142263535"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5059767826","display_name":"Giorgio Nocerino","orcid":null},"institutions":[{"id":"https://openalex.org/I142263535","display_name":"University of Nottingham","ror":"https://ror.org/01ee9ar58","country_code":"GB","type":"education","lineage":["https://openalex.org/I142263535"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Giorgio Nocerino","raw_affiliation_strings":["School of Mathematical Sciences and Centre for the Mathematics and Theoretical Physics of Quantum Non-Equilibrium Systems, The University of Nottingham, University Park, Nottingham NG7 2RD, United Kingdom"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences and Centre for the Mathematics and Theoretical Physics of Quantum Non-Equilibrium Systems, The University of Nottingham, University Park, Nottingham NG7 2RD, United Kingdom","institution_ids":["https://openalex.org/I142263535"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5090107397","display_name":"Jos\u00e9 P. Palao","orcid":"https://orcid.org/0000-0002-6782-697X"},"institutions":[{"id":"https://openalex.org/I158438070","display_name":"Universidad de La Laguna","ror":"https://ror.org/01r9z8p25","country_code":"ES","type":"education","lineage":["https://openalex.org/I158438070"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Jos\u00e9 P. Palao","raw_affiliation_strings":["Dpto. de F\u00edsica and IUdEA: Instituto Universitario de Estudios Avanzados Universidad de La Laguna, 38203, Spain"],"affiliations":[{"raw_affiliation_string":"Dpto. de F\u00edsica and IUdEA: Instituto Universitario de Estudios Avanzados Universidad de La Laguna, 38203, Spain","institution_ids":["https://openalex.org/I158438070"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5061557883","display_name":"Daniel Alonso","orcid":"https://orcid.org/0000-0002-9471-2783"},"institutions":[{"id":"https://openalex.org/I158438070","display_name":"Universidad de La Laguna","ror":"https://ror.org/01r9z8p25","country_code":"ES","type":"education","lineage":["https://openalex.org/I158438070"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Daniel Alonso","raw_affiliation_strings":["Dpto. de F\u00edsica and IUdEA: Instituto Universitario de Estudios Avanzados Universidad de La Laguna, 38203, Spain"],"affiliations":[{"raw_affiliation_string":"Dpto. de F\u00edsica and IUdEA: Instituto Universitario de Estudios Avanzados Universidad de La Laguna, 38203, Spain","institution_ids":["https://openalex.org/I158438070"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5052736954","display_name":"Gerardo Adesso","orcid":"https://orcid.org/0000-0001-7136-3755"},"institutions":[{"id":"https://openalex.org/I142263535","display_name":"University of Nottingham","ror":"https://ror.org/01ee9ar58","country_code":"GB","type":"education","lineage":["https://openalex.org/I142263535"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Gerardo Adesso","raw_affiliation_strings":["School of Mathematical Sciences and Centre for the Mathematics and Theoretical Physics of Quantum Non-Equilibrium Systems, The University of Nottingham, University Park, Nottingham NG7 2RD, United Kingdom"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences and Centre for the Mathematics and Theoretical Physics of Quantum Non-Equilibrium Systems, The University of Nottingham, University Park, Nottingham NG7 2RD, United Kingdom","institution_ids":["https://openalex.org/I142263535"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5022699149"],"corresponding_institution_ids":["https://openalex.org/I142263535","https://openalex.org/I158438070"],"apc_list":null,"apc_paid":null,"fwci":17.0268,"has_fulltext":false,"cited_by_count":185,"citation_normalized_percentile":{"value":0.99280517,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":100},"biblio":{"volume":"24","issue":"04","first_page":"1740010","last_page":"1740010"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10020","display_name":"Quantum Information and Cryptography","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10020","display_name":"Quantum Information and Cryptography","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10382","display_name":"Quantum and electron transport phenomena","score":0.9998999834060669,"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/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.9997000098228455,"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/master-equation","display_name":"Master equation","score":0.927523136138916},{"id":"https://openalex.org/keywords/hamiltonian","display_name":"Hamiltonian (control theory)","score":0.7409062385559082},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.5568215847015381},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.5153026580810547},{"id":"https://openalex.org/keywords/multipartite","display_name":"Multipartite","score":0.482452929019928},{"id":"https://openalex.org/keywords/quantum-master-equation","display_name":"Quantum master equation","score":0.4795360565185547},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.44988352060317993},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.44644099473953247},{"id":"https://openalex.org/keywords/exact-solutions-in-general-relativity","display_name":"Exact solutions in general relativity","score":0.4450473487377167},{"id":"https://openalex.org/keywords/dissipation","display_name":"Dissipation","score":0.44482195377349854},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.4107784628868103},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3571634590625763},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3329489231109619},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.2522036135196686},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.14475250244140625}],"concepts":[{"id":"https://openalex.org/C128805008","wikidata":"https://www.wikidata.org/wiki/Q722878","display_name":"Master equation","level":3,"score":0.927523136138916},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.7409062385559082},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.5568215847015381},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.5153026580810547},{"id":"https://openalex.org/C166733315","wikidata":"https://www.wikidata.org/wiki/Q6934831","display_name":"Multipartite","level":4,"score":0.482452929019928},{"id":"https://openalex.org/C2777057244","wikidata":"https://www.wikidata.org/wiki/Q18389871","display_name":"Quantum master equation","level":4,"score":0.4795360565185547},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.44988352060317993},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.44644099473953247},{"id":"https://openalex.org/C520416788","wikidata":"https://www.wikidata.org/wiki/Q5419229","display_name":"Exact solutions in general relativity","level":2,"score":0.4450473487377167},{"id":"https://openalex.org/C135402231","wikidata":"https://www.wikidata.org/wiki/Q898440","display_name":"Dissipation","level":2,"score":0.44482195377349854},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.4107784628868103},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3571634590625763},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3329489231109619},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.2522036135196686},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.14475250244140625},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C121040770","wikidata":"https://www.wikidata.org/wiki/Q215675","display_name":"Quantum entanglement","level":3,"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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1142/s1230161217400108","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1230161217400108","pdf_url":null,"source":{"id":"https://openalex.org/S27332288","display_name":"Open Systems & Information Dynamics","issn_l":"1230-1612","issn":["1230-1612","1573-1324","1793-7191"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Open Systems & Information Dynamics","raw_type":"journal-article"},{"id":"pmh:oai:ore.exeter.ac.uk:10871/37839","is_oa":false,"landing_page_url":"http://hdl.handle.net/10871/37839","pdf_url":null,"source":{"id":"https://openalex.org/S4306401998","display_name":"Open Research Exeter (University of Exeter)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I23923803","host_organization_name":"University of Exeter","host_organization_lineage":["https://openalex.org/I23923803"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"Article"},{"id":"pmh:oai:arXiv.org:1707.09228","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1707.09228","pdf_url":"https://arxiv.org/pdf/1707.09228","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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:eprints.nottingham.ac.uk:49330","is_oa":false,"landing_page_url":"http://www.worldscientific.com/doi/abs/10.1142/S1230161217400108","pdf_url":null,"source":{"id":"https://openalex.org/S4306402013","display_name":"Nottingham ePrints (University of Nottingham)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I142263535","host_organization_name":"University of Nottingham","host_organization_lineage":["https://openalex.org/I142263535"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"},{"id":"pmh:oai:figshare.com:article/29757869","is_oa":true,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4377196282","display_name":"Figshare","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210132348","host_organization_name":"Figshare (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210132348"],"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":"Journal contribution"},{"id":"pmh:oai:nottingham-repository.worktribe.com:897312","is_oa":true,"landing_page_url":"https://nottingham-repository.worktribe.com/output/897312","pdf_url":null,"source":{"id":"https://openalex.org/S4306402483","display_name":"Repository@Nottingham (University of Nottingham)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I142263535","host_organization_name":"University of Nottingham","host_organization_lineage":["https://openalex.org/I142263535"],"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":null,"raw_type":"acceptedVersion"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1707.09228","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1707.09228","pdf_url":"https://arxiv.org/pdf/1707.09228","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":[{"id":"https://metadata.un.org/sdg/7","score":0.8399999737739563,"display_name":"Affordable and clean energy"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":50,"referenced_works":["https://openalex.org/W384246089","https://openalex.org/W758520905","https://openalex.org/W1487122780","https://openalex.org/W1571385165","https://openalex.org/W1742731277","https://openalex.org/W1971727482","https://openalex.org/W1979369481","https://openalex.org/W1984004232","https://openalex.org/W1987702500","https://openalex.org/W2000842907","https://openalex.org/W2001389172","https://openalex.org/W2002506506","https://openalex.org/W2015683881","https://openalex.org/W2016084623","https://openalex.org/W2017053765","https://openalex.org/W2018147731","https://openalex.org/W2018390921","https://openalex.org/W2020852845","https://openalex.org/W2024607599","https://openalex.org/W2032839191","https://openalex.org/W2036262425","https://openalex.org/W2041637408","https://openalex.org/W2045195262","https://openalex.org/W2046908285","https://openalex.org/W2060287714","https://openalex.org/W2063785360","https://openalex.org/W2076254988","https://openalex.org/W2092986657","https://openalex.org/W2114917858","https://openalex.org/W2116679455","https://openalex.org/W2119175454","https://openalex.org/W2124545902","https://openalex.org/W2128386771","https://openalex.org/W2130117852","https://openalex.org/W2137964687","https://openalex.org/W2181284682","https://openalex.org/W2212050976","https://openalex.org/W2241679631","https://openalex.org/W2396464621","https://openalex.org/W2401533234","https://openalex.org/W2430536562","https://openalex.org/W2503563346","https://openalex.org/W2505306436","https://openalex.org/W2537697587","https://openalex.org/W3037464230","https://openalex.org/W3037737784","https://openalex.org/W3098165131","https://openalex.org/W3102385538","https://openalex.org/W3102501172","https://openalex.org/W3122754776"],"related_works":["https://openalex.org/W3099970689","https://openalex.org/W4288018433","https://openalex.org/W2990099537","https://openalex.org/W2804937650","https://openalex.org/W3115618320","https://openalex.org/W2277371521","https://openalex.org/W2400437111","https://openalex.org/W1510519819","https://openalex.org/W2460282939","https://openalex.org/W3176627246"],"abstract_inverted_index":{"When":[0],"deriving":[1],"a":[2,6,50,70],"master":[3,36,53],"equation":[4,37,54],"for":[5],"multipartite":[7],"weakly-interacting":[8],"open":[9],"quantum":[10],"systems,":[11],"dissipation":[12],"is":[13,39,104],"often":[14],"addressed":[15],"locally":[16],"on":[17,58],"each":[18],"component,":[19],"i.e.":[20],"ignoring":[21],"the":[22,33,59,63,83,92,99,102,107,122,132,139,148,151,155,164,168,173,178],"coherent":[23],"couplings,":[24],"which":[25],"are":[26,87],"later":[27],"added":[28],"\u2018by":[29],"hand\u2019.":[30],"Although":[31],"simple,":[32],"resulting":[34],"local":[35,181],"(LME)":[38],"known":[40],"to":[41,75,191],"be":[42,184],"thermodynamically":[43,128],"inconsistent.":[44],"Otherwise,":[45],"one":[46],"may":[47,183],"always":[48],"obtain":[49],"consistent":[51],"global":[52,179],"(GME)":[55],"by":[56,106],"working":[57],"energy":[60],"basis":[61],"of":[62,82,101,126],"full":[64],"interacting":[65],"Hamiltonian.":[66],"Here,":[67],"we":[68,119],"consider":[69],"two-node":[71],"\u2018quantum":[72],"wire\u2019":[73],"connected":[74],"two":[76],"heat":[77,142],"baths.":[78],"The":[79],"stationary":[80],"solution":[81],"LME":[84,169],"and":[85,89,144,180],"GME":[86,103,156,174],"obtained":[88],"benchmarked":[90],"against":[91],"exact":[93,140],"result.":[94],"Importantly,":[95],"in":[96,124],"our":[97],"model,":[98],"validity":[100],"constrained":[105],"underlying":[108],"secular":[109],"approximation.":[110],"Whenever":[111],"this":[112],"breaks":[113,170],"down":[114,171],"(for":[115],"resonant":[116],"weakly-coupled":[117],"nodes),":[118],"observe":[120],"that":[121],"LME,":[123],"spite":[125],"being":[127],"flawed:":[129],"(a)":[130],"predicts":[131],"correct":[133],"steady":[134],"state,":[135],"(b)":[136],"yields":[137],"with":[138],"asymptotic":[141],"currents,":[143],"(c)":[145],"reliably":[146],"reflects":[147],"correlations":[149],"between":[150],"nodes.":[152],"In":[153],"contrast,":[154],"fails":[157],"at":[158],"all":[159],"three":[160],"tasks.":[161],"Nonetheless,":[162],"as":[163,186],"inter-node":[165],"coupling":[166],"grows,":[167],"whilst":[172],"becomes":[175],"correct.":[176],"Hence,":[177],"approach":[182],"viewed":[185],"complementary":[187],"tools,":[188],"best":[189],"suited":[190],"different":[192],"parameter":[193],"regimes.":[194]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":14},{"year":2024,"cited_by_count":18},{"year":2023,"cited_by_count":13},{"year":2022,"cited_by_count":21},{"year":2021,"cited_by_count":34},{"year":2020,"cited_by_count":18},{"year":2019,"cited_by_count":33},{"year":2018,"cited_by_count":27},{"year":2017,"cited_by_count":4}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2017-08-08T00:00:00"}