{"id":"https://openalex.org/W2094635755","doi":"https://doi.org/10.1103/physreve.82.016320","title":"Structure of large-scale flows and their oscillation in the thermal convection of liquid gallium","display_name":"Structure of large-scale flows and their oscillation in the thermal convection of liquid gallium","publication_year":2010,"publication_date":"2010-07-30","ids":{"openalex":"https://openalex.org/W2094635755","doi":"https://doi.org/10.1103/physreve.82.016320","mag":"2094635755","pmid":"https://pubmed.ncbi.nlm.nih.gov/20866738"},"language":"en","primary_location":{"id":"doi:10.1103/physreve.82.016320","doi":"https://doi.org/10.1103/physreve.82.016320","is_oa":true,"landing_page_url":"https://doi.org/10.1103/physreve.82.016320","pdf_url":"http://link.aps.org/pdf/10.1103/PhysRevE.82.016320","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"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref","pubmed"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"http://link.aps.org/pdf/10.1103/PhysRevE.82.016320","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5048322506","display_name":"Takatoshi Yanagisawa","orcid":"https://orcid.org/0000-0001-6289-938X","observed_orcids":["https://orcid.org/0000-0001-6289-938X"]},"institutions":[{"id":"https://openalex.org/I1315852903","display_name":"Japan Agency for Marine-Earth Science and Technology","ror":"https://ror.org/059qg2m13","country_code":"JP","type":"facility","lineage":["https://openalex.org/I1315852903"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Takatoshi Yanagisawa","raw_affiliation_strings":["Institute for Research on Earth Evolution, Japan Agency for Marine-Earth Science and Technology, Yokosuka, Japan. yanagi@jamstec.go.jp","Institute for Research on Earth Evolution, Japan Agency for Marine-Earth Science and Technology; Yokosuka Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Research on Earth Evolution, Japan Agency for Marine-Earth Science and Technology, Yokosuka, Japan. yanagi@jamstec.go.jp","institution_ids":["https://openalex.org/I1315852903"]},{"raw_affiliation_string":"Institute for Research on Earth Evolution, Japan Agency for Marine-Earth Science and Technology; Yokosuka Japan","institution_ids":["https://openalex.org/I1315852903"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5112260237","display_name":"Yasuko Yamagishi","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I1315852903","display_name":"Japan Agency for Marine-Earth Science and Technology","ror":"https://ror.org/059qg2m13","country_code":"JP","type":"facility","lineage":["https://openalex.org/I1315852903"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Yasuko Yamagishi","raw_affiliation_strings":["Institute for Research on Earth Evolution, Japan Agency for Marine-Earth Science and Technology, Yokosuka, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Research on Earth Evolution, Japan Agency for Marine-Earth Science and Technology, Yokosuka, Japan","institution_ids":["https://openalex.org/I1315852903"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109057030","display_name":"Yozo Hamano","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I1315852903","display_name":"Japan Agency for Marine-Earth Science and Technology","ror":"https://ror.org/059qg2m13","country_code":"JP","type":"facility","lineage":["https://openalex.org/I1315852903"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Yozo Hamano","raw_affiliation_strings":["Institute for Research on Earth Evolution, Japan Agency for Marine-Earth Science and Technology, Yokosuka, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Research on Earth Evolution, Japan Agency for Marine-Earth Science and Technology, Yokosuka, Japan","institution_ids":["https://openalex.org/I1315852903"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5012423489","display_name":"Yuji Tasaka","orcid":"https://orcid.org/0000-0002-8943-4803","observed_orcids":["https://orcid.org/0000-0002-8943-4803"]},"institutions":[{"id":"https://openalex.org/I1315852903","display_name":"Japan Agency for Marine-Earth Science and Technology","ror":"https://ror.org/059qg2m13","country_code":"JP","type":"facility","lineage":["https://openalex.org/I1315852903"]},{"id":"https://openalex.org/I205349734","display_name":"Hokkaido University","ror":"https://ror.org/02e16g702","country_code":"JP","type":"education","lineage":["https://openalex.org/I205349734"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Yuji Tasaka","raw_affiliation_strings":["Institute for Research on Earth Evolution, Japan Agency for Marine-Earth Science and Technology, Yokosuka, Japan","Graduate School of Engineering, Hokkaido University, Sapporo (Japan)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Research on Earth Evolution, Japan Agency for Marine-Earth Science and Technology, Yokosuka, Japan","institution_ids":["https://openalex.org/I1315852903"]},{"raw_affiliation_string":"Graduate School of Engineering, Hokkaido University, Sapporo (Japan)","institution_ids":["https://openalex.org/I205349734"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101914030","display_name":"Masataka Yoshida","orcid":"https://orcid.org/0009-0001-2955-6825","observed_orcids":["https://orcid.org/0009-0001-2955-6825","https://orcid.org/0000-0002-5621-955X"]},"institutions":[{"id":"https://openalex.org/I1315852903","display_name":"Japan Agency for Marine-Earth Science and Technology","ror":"https://ror.org/059qg2m13","country_code":"JP","type":"facility","lineage":["https://openalex.org/I1315852903"]},{"id":"https://openalex.org/I205349734","display_name":"Hokkaido University","ror":"https://ror.org/02e16g702","country_code":"JP","type":"education","lineage":["https://openalex.org/I205349734"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Masataka Yoshida","raw_affiliation_strings":["Institute for Research on Earth Evolution, Japan Agency for Marine-Earth Science and Technology, Yokosuka, Japan","Graduate School of Engineering, Hokkaido University, Sapporo (Japan)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Research on Earth Evolution, Japan Agency for Marine-Earth Science and Technology, Yokosuka, Japan","institution_ids":["https://openalex.org/I1315852903"]},{"raw_affiliation_string":"Graduate School of Engineering, Hokkaido University, Sapporo (Japan)","institution_ids":["https://openalex.org/I205349734"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5081315975","display_name":"Kanako Yano","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I1315852903","display_name":"Japan Agency for Marine-Earth Science and Technology","ror":"https://ror.org/059qg2m13","country_code":"JP","type":"facility","lineage":["https://openalex.org/I1315852903"]},{"id":"https://openalex.org/I205349734","display_name":"Hokkaido University","ror":"https://ror.org/02e16g702","country_code":"JP","type":"education","lineage":["https://openalex.org/I205349734"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Kanako Yano","raw_affiliation_strings":["Institute for Research on Earth Evolution, Japan Agency for Marine-Earth Science and Technology, Yokosuka, Japan","Graduate School of Engineering, Hokkaido University, Sapporo (Japan)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Research on Earth Evolution, Japan Agency for Marine-Earth Science and Technology, Yokosuka, Japan","institution_ids":["https://openalex.org/I1315852903"]},{"raw_affiliation_string":"Graduate School of Engineering, Hokkaido University, Sapporo (Japan)","institution_ids":["https://openalex.org/I205349734"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5108445310","display_name":"Yasushi Takeda","orcid":"https://orcid.org/0000-0001-9013-0260","observed_orcids":["https://orcid.org/0000-0001-9013-0260"]},"institutions":[{"id":"https://openalex.org/I1315852903","display_name":"Japan Agency for Marine-Earth Science and Technology","ror":"https://ror.org/059qg2m13","country_code":"JP","type":"facility","lineage":["https://openalex.org/I1315852903"]},{"id":"https://openalex.org/I205349734","display_name":"Hokkaido University","ror":"https://ror.org/02e16g702","country_code":"JP","type":"education","lineage":["https://openalex.org/I205349734"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Yasushi Takeda","raw_affiliation_strings":["Institute for Research on Earth Evolution, Japan Agency for Marine-Earth Science and Technology, Yokosuka, Japan","Graduate School of Engineering, Hokkaido University, Sapporo (Japan)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Research on Earth Evolution, Japan Agency for Marine-Earth Science and Technology, Yokosuka, Japan","institution_ids":["https://openalex.org/I1315852903"]},{"raw_affiliation_string":"Graduate School of Engineering, Hokkaido University, Sapporo (Japan)","institution_ids":["https://openalex.org/I205349734"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5048322506"],"corresponding_institution_ids":["https://openalex.org/I1315852903"],"apc_list":null,"apc_paid":null,"fwci":4.9087,"has_fulltext":true,"cited_by_count":36,"citation_normalized_percentile":{"value":0.9548424,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"82","issue":"1","first_page":"016320","last_page":"016320"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.9926999807357788,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.9926999807357788,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.0008999999845400453,"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/T13951","display_name":"Fluid dynamics and aerodynamics studies","score":0.0005000000237487257,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/large-scale-flow","display_name":"large-scale flow","score":0.7770000100135803},{"id":"https://openalex.org/keywords/rayleigh-benard-convection","display_name":"Rayleigh-B\u00e9nard convection","score":0.9710000157356262},{"id":"https://openalex.org/keywords/liquid-gallium","display_name":"liquid gallium","score":0.9909999966621399},{"id":"https://openalex.org/keywords/oscillatory-instability","display_name":"oscillatory instability","score":0.746999979019165},{"id":"https://openalex.org/keywords/oscillation-frequency","display_name":"oscillation frequency","score":0.5899999737739563},{"id":"https://openalex.org/keywords/rayleigh-number-scaling","display_name":"Rayleigh number scaling","score":0.8379999995231628},{"id":"https://openalex.org/keywords/temperature-fluctuations","display_name":"temperature fluctuations","score":0.5619999766349792}],"concepts":[{"id":"https://openalex.org/C2778439541","wikidata":"https://www.wikidata.org/wiki/Q7106412","display_name":"Oscillation (cell signaling)","level":2,"score":0.797044038772583},{"id":"https://openalex.org/C10899652","wikidata":"https://www.wikidata.org/wiki/Q160329","display_name":"Convection","level":2,"score":0.6893229484558105},{"id":"https://openalex.org/C106836276","wikidata":"https://www.wikidata.org/wiki/Q898249","display_name":"Rayleigh number","level":4,"score":0.6420750617980957},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.5721721649169922},{"id":"https://openalex.org/C207821765","wikidata":"https://www.wikidata.org/wiki/Q405372","display_name":"Instability","level":2,"score":0.5625057816505432},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5067558884620667},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.4889005720615387},{"id":"https://openalex.org/C46244369","wikidata":"https://www.wikidata.org/wiki/Q193709","display_name":"Rayleigh scattering","level":2,"score":0.48249197006225586},{"id":"https://openalex.org/C550372918","wikidata":"https://www.wikidata.org/wiki/Q861","display_name":"Gallium","level":2,"score":0.4445532262325287},{"id":"https://openalex.org/C204530211","wikidata":"https://www.wikidata.org/wiki/Q752823","display_name":"Thermal","level":2,"score":0.42217424511909485},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.3572405278682709},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.28293511271476746},{"id":"https://openalex.org/C54791560","wikidata":"https://www.wikidata.org/wiki/Q3285020","display_name":"Natural convection","level":3,"score":0.2808505594730377},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.1711539626121521},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.07556697726249695},{"id":"https://openalex.org/C191897082","wikidata":"https://www.wikidata.org/wiki/Q11467","display_name":"Metallurgy","level":1,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1103/physreve.82.016320","doi":"https://doi.org/10.1103/physreve.82.016320","is_oa":true,"landing_page_url":"https://doi.org/10.1103/physreve.82.016320","pdf_url":"http://link.aps.org/pdf/10.1103/PhysRevE.82.016320","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:20866738","doi":null,"is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/20866738","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:irdb.nii.ac.jp:01364:0007163375","doi":null,"is_oa":true,"landing_page_url":"https://hdl.handle.net/2115/43769","pdf_url":"https://eprints.lib.hokudai.ac.jp/repo/huscap/all/43769/PRE82-1_016320.pdf","source":{"id":"https://openalex.org/S7407056385","display_name":"Institutional Repositories DataBase (IRDB)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I184597095","host_organization_name":"National Institute of Informatics","host_organization_lineage":["https://openalex.org/I184597095"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Physical Review E","raw_type":"journal article"},{"id":"pmh:oai:eprints.lib.hokudai.ac.jp:2115/43769","doi":null,"is_oa":false,"landing_page_url":"http://hdl.handle.net/2115/43769","pdf_url":null,"source":{"id":"https://openalex.org/S4306400549","display_name":"Hokkaido University Collection of Scholarly and Academic Papers (Hokkaido University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205349734","host_organization_name":"Hokkaido University","host_organization_lineage":["https://openalex.org/I205349734"],"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"}],"best_oa_location":{"id":"doi:10.1103/physreve.82.016320","doi":"https://doi.org/10.1103/physreve.82.016320","is_oa":true,"landing_page_url":"https://doi.org/10.1103/physreve.82.016320","pdf_url":"http://link.aps.org/pdf/10.1103/PhysRevE.82.016320","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"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G2607472403","display_name":"Turbulence in the Earth's outer core","funder_award_id":"18204038","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"}],"funders":[{"id":"https://openalex.org/F4320320912","display_name":"Ministry of Education, Culture, Sports, Science and Technology","ror":"https://ror.org/048rj2z13"},{"id":"https://openalex.org/F4320334764","display_name":"Japan Society for the Promotion of Science","ror":"https://ror.org/00hhkn466"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2094635755.pdf","grobid_xml":"https://content.openalex.org/works/W2094635755.grobid-xml"},"referenced_works_count":20,"referenced_works":["https://openalex.org/W1526160613","https://openalex.org/W1963948233","https://openalex.org/W1965630150","https://openalex.org/W1989791522","https://openalex.org/W1994324376","https://openalex.org/W2006606206","https://openalex.org/W2013737667","https://openalex.org/W2032912511","https://openalex.org/W2036995108","https://openalex.org/W2039559226","https://openalex.org/W2045044603","https://openalex.org/W2047726683","https://openalex.org/W2048736450","https://openalex.org/W2080535802","https://openalex.org/W2087955567","https://openalex.org/W2119213531","https://openalex.org/W2119820037","https://openalex.org/W2133904834","https://openalex.org/W2150495896","https://openalex.org/W2170252572"],"related_works":["https://openalex.org/W2327013967","https://openalex.org/W2334457314","https://openalex.org/W2095696806","https://openalex.org/W2953529977","https://openalex.org/W1968481505","https://openalex.org/W4302303624","https://openalex.org/W2071241577","https://openalex.org/W4388531408","https://openalex.org/W2181783957","https://openalex.org/W3118911601"],"abstract_inverted_index":{"This":[0,89,139],"investigation":[1],"observed":[2,56,76],"large-scale":[3,121,151],"flows":[4,122],"in":[5,31,57,74,77],"liquid":[6,29],"gallium":[7,30],"and":[8,64,123],"the":[9,23,28,38,42,58,65,82,85,96,100,112,117,120,124,127,132,136,142,148],"oscillation":[10,128,143],"with":[11,52],"Rayleigh-B\u00e9nard":[12],"convection.":[13],"An":[14],"ultrasonic":[15],"velocity":[16,44,118],"profiling":[17],"method":[18],"was":[19,55],"used":[20],"to":[21,81,131,147],"visualize":[22],"spatiotemporal":[24],"flow":[25,43,90],"pattern":[26],"of":[27,41,61,84,99,103,119,126,135,150],"a":[32],"horizontally":[33],"long":[34],"rectangular":[35],"vessel.":[36],"Measuring":[37],"horizontal":[39],"component":[40],"at":[45],"several":[46],"lines,":[47],"an":[48],"organized":[49,86],"roll-like":[50],"structure":[51,91],"four":[53],"cells":[54],"1\u00d710(4)-2\u00d710(5)":[59],"range":[60],"Rayleigh":[62,114,137],"numbers,":[63],"rolls":[66],"show":[67],"clear":[68],"oscillatory":[69,101],"behavior.":[70],"The":[71],"long-term":[72],"fluctuations":[73],"temperature":[75],"point":[78],"measurements":[79],"correspond":[80],"oscillations":[83],"roll":[87,105],"structure.":[88],"can":[92],"be":[93],"interpreted":[94],"as":[95],"continuous":[97],"development":[98],"instability":[102],"two-dimensional":[104],"convection":[106],"that":[107,141],"is":[108,144],"theoretically":[109],"investigated":[110],"around":[111],"critical":[113],"number.":[115,138],"Both":[116],"frequency":[125],"increase":[129],"proportional":[130],"square":[133],"root":[134],"indicates":[140],"closely":[145],"related":[146],"circulation":[149],"flow.":[152]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2017,"cited_by_count":4},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":5},{"year":2012,"cited_by_count":3}],"updated_date":"2026-11-11T12:16:26.678958","created_date":"2016-06-24T00:00:00"}
