{"id":"https://openalex.org/W2958962350","doi":"https://doi.org/10.3390/e21070679","title":"Time\u2013Energy and Time\u2013Entropy Uncertainty Relations in Nonequilibrium Quantum Thermodynamics under Steepest-Entropy-Ascent Nonlinear Master Equations","display_name":"Time\u2013Energy and Time\u2013Entropy Uncertainty Relations in Nonequilibrium Quantum Thermodynamics under Steepest-Entropy-Ascent Nonlinear Master Equations","publication_year":2019,"publication_date":"2019-07-11","ids":{"openalex":"https://openalex.org/W2958962350","doi":"https://doi.org/10.3390/e21070679","mag":"2958962350","pmid":"https://pubmed.ncbi.nlm.nih.gov/33267393"},"language":"en","primary_location":{"id":"doi:10.3390/e21070679","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e21070679","pdf_url":"https://www.mdpi.com/1099-4300/21/7/679/pdf?version=1562846111","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","doaj","pubmed"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1099-4300/21/7/679/pdf?version=1562846111","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Gian Paolo Beretta","orcid":"https://orcid.org/0000-0001-9302-2468"},"institutions":[{"id":"https://openalex.org/I79940851","display_name":"University of Brescia","ror":"https://ror.org/02q2d2610","country_code":"IT","type":"education","lineage":["https://openalex.org/I79940851"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Gian Paolo Beretta","raw_affiliation_strings":["Department of Mechanical and Industrial Engineering, Universit\u00e0 di Brescia, via Branze 38, 25123 Brescia, Italy"],"raw_orcid":"https://orcid.org/0000-0001-9302-2468","affiliations":[{"raw_affiliation_string":"Department of Mechanical and Industrial Engineering, Universit\u00e0 di Brescia, via Branze 38, 25123 Brescia, Italy","institution_ids":["https://openalex.org/I79940851"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I79940851"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":0.8644,"has_fulltext":true,"cited_by_count":7,"citation_normalized_percentile":{"value":0.73509637,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"21","issue":"7","first_page":"679","last_page":"679"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.751800000667572,"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":0.751800000667572,"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/T11804","display_name":"Quantum many-body systems","score":0.0868000015616417,"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/T12261","display_name":"Statistical Mechanics and Entropy","score":0.03269999846816063,"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":0.6820999979972839},{"id":"https://openalex.org/keywords/dissipative-system","display_name":"Dissipative system","score":0.6725999712944031},{"id":"https://openalex.org/keywords/non-equilibrium-thermodynamics","display_name":"Non-equilibrium thermodynamics","score":0.6564000248908997},{"id":"https://openalex.org/keywords/unitary-state","display_name":"Unitary state","score":0.5889000296592712},{"id":"https://openalex.org/keywords/observable","display_name":"Observable","score":0.5835999846458435},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5327000021934509},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.49720001220703125},{"id":"https://openalex.org/keywords/dissipation","display_name":"Dissipation","score":0.49239999055862427},{"id":"https://openalex.org/keywords/entropy-production","display_name":"Entropy production","score":0.47920000553131104},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.4578999876976013}],"concepts":[{"id":"https://openalex.org/C128805008","wikidata":"https://www.wikidata.org/wiki/Q722878","display_name":"Master equation","level":3,"score":0.6820999979972839},{"id":"https://openalex.org/C99692599","wikidata":"https://www.wikidata.org/wiki/Q596577","display_name":"Dissipative system","level":2,"score":0.6725999712944031},{"id":"https://openalex.org/C74859849","wikidata":"https://www.wikidata.org/wiki/Q2466686","display_name":"Non-equilibrium thermodynamics","level":2,"score":0.6564000248908997},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.6258000135421753},{"id":"https://openalex.org/C67820243","wikidata":"https://www.wikidata.org/wiki/Q179164","display_name":"Unitary state","level":2,"score":0.5889000296592712},{"id":"https://openalex.org/C32848918","wikidata":"https://www.wikidata.org/wiki/Q845789","display_name":"Observable","level":2,"score":0.5835999846458435},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5327000021934509},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.49720001220703125},{"id":"https://openalex.org/C135402231","wikidata":"https://www.wikidata.org/wiki/Q898440","display_name":"Dissipation","level":2,"score":0.49239999055862427},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.48649999499320984},{"id":"https://openalex.org/C207282930","wikidata":"https://www.wikidata.org/wiki/Q5380811","display_name":"Entropy production","level":2,"score":0.47920000553131104},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.4578999876976013},{"id":"https://openalex.org/C119820323","wikidata":"https://www.wikidata.org/wiki/Q177045","display_name":"Second law of thermodynamics","level":2,"score":0.4496999979019165},{"id":"https://openalex.org/C37731324","wikidata":"https://www.wikidata.org/wiki/Q5380783","display_name":"Entropic uncertainty","level":4,"score":0.4278999865055084},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.4212000072002411},{"id":"https://openalex.org/C181543814","wikidata":"https://www.wikidata.org/wiki/Q44746","display_name":"Uncertainty principle","level":3,"score":0.4000999927520752},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.37599998712539673},{"id":"https://openalex.org/C42047476","wikidata":"https://www.wikidata.org/wiki/Q6269544","display_name":"Joint quantum entropy","level":3,"score":0.351500004529953},{"id":"https://openalex.org/C149441793","wikidata":"https://www.wikidata.org/wiki/Q200726","display_name":"Probability distribution","level":2,"score":0.35100001096725464},{"id":"https://openalex.org/C11577676","wikidata":"https://www.wikidata.org/wiki/Q134237","display_name":"Square root","level":2,"score":0.34470000863075256},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.3422999978065491},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.3407999873161316},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.32409998774528503},{"id":"https://openalex.org/C171752962","wikidata":"https://www.wikidata.org/wiki/Q255166","display_name":"Kullback\u2013Leibler divergence","level":2,"score":0.3125999867916107},{"id":"https://openalex.org/C106553664","wikidata":"https://www.wikidata.org/wiki/Q1156744","display_name":"Time evolution","level":2,"score":0.30090001225471497},{"id":"https://openalex.org/C15184713","wikidata":"https://www.wikidata.org/wiki/Q7269042","display_name":"Quantum dynamics","level":3,"score":0.2980000078678131},{"id":"https://openalex.org/C187819001","wikidata":"https://www.wikidata.org/wiki/Q187665","display_name":"Thermostat","level":2,"score":0.2888999879360199},{"id":"https://openalex.org/C201540876","wikidata":"https://www.wikidata.org/wiki/Q4476520","display_name":"Lindblad equation","level":4,"score":0.2888999879360199},{"id":"https://openalex.org/C79259039","wikidata":"https://www.wikidata.org/wiki/Q2381834","display_name":"Negative temperature","level":2,"score":0.27480000257492065},{"id":"https://openalex.org/C136864674","wikidata":"https://www.wikidata.org/wiki/Q477921","display_name":"Hamiltonian mechanics","level":3,"score":0.25929999351501465},{"id":"https://openalex.org/C122527463","wikidata":"https://www.wikidata.org/wiki/Q578430","display_name":"Quantum decoherence","level":3,"score":0.25440001487731934},{"id":"https://openalex.org/C108585399","wikidata":"https://www.wikidata.org/wiki/Q900831","display_name":"Fluctuation theorem","level":3,"score":0.25189998745918274},{"id":"https://openalex.org/C9679016","wikidata":"https://www.wikidata.org/wiki/Q1417473","display_name":"Principle of maximum entropy","level":2,"score":0.2513999938964844}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.3390/e21070679","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e21070679","pdf_url":"https://www.mdpi.com/1099-4300/21/7/679/pdf?version=1562846111","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},{"id":"pmid:33267393","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/33267393","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,"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":"Entropy (Basel, Switzerland)","raw_type":null},{"id":"pmh:oai:arXiv.org:1911.07735","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1911.07735","pdf_url":"https://arxiv.org/pdf/1911.07735","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:doaj.org/article:87881de7d1524f5fa5739500267bbba9","is_oa":true,"landing_page_url":"https://doaj.org/article/87881de7d1524f5fa5739500267bbba9","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy, Vol 21, Iss 7, p 679 (2019)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/1099-4300/21/7/679/","is_oa":true,"landing_page_url":"http://dx.doi.org/10.3390/e21070679","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"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":"Entropy","raw_type":"Text"},{"id":"pmh:oai:pubmedcentral.nih.gov:7515176","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/7515176","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy (Basel)","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/e21070679","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e21070679","pdf_url":"https://www.mdpi.com/1099-4300/21/7/679/pdf?version=1562846111","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2958962350.pdf","grobid_xml":"https://content.openalex.org/works/W2958962350.grobid-xml"},"referenced_works_count":130,"referenced_works":["https://openalex.org/W29695231","https://openalex.org/W76491910","https://openalex.org/W137744920","https://openalex.org/W150554606","https://openalex.org/W1510159182","https://openalex.org/W1560931025","https://openalex.org/W1570853544","https://openalex.org/W1588617161","https://openalex.org/W1601704346","https://openalex.org/W1603616216","https://openalex.org/W1607705556","https://openalex.org/W1899431826","https://openalex.org/W1943891782","https://openalex.org/W1964185925","https://openalex.org/W1964777250","https://openalex.org/W1965128613","https://openalex.org/W1970578927","https://openalex.org/W1976705977","https://openalex.org/W1978269114","https://openalex.org/W1978725621","https://openalex.org/W1980139189","https://openalex.org/W1981272288","https://openalex.org/W1983063924","https://openalex.org/W1983882849","https://openalex.org/W1987498387","https://openalex.org/W1988242529","https://openalex.org/W1989441977","https://openalex.org/W1990701784","https://openalex.org/W1991951466","https://openalex.org/W1992385773","https://openalex.org/W1994217516","https://openalex.org/W1995270069","https://openalex.org/W1995705985","https://openalex.org/W1997026573","https://openalex.org/W1997058359","https://openalex.org/W2000560592","https://openalex.org/W2001290092","https://openalex.org/W2001335770","https://openalex.org/W2010728832","https://openalex.org/W2012311816","https://openalex.org/W2012703902","https://openalex.org/W2013257867","https://openalex.org/W2015683881","https://openalex.org/W2020627707","https://openalex.org/W2021337075","https://openalex.org/W2021820673","https://openalex.org/W2023995778","https://openalex.org/W2024036721","https://openalex.org/W2025744050","https://openalex.org/W2028274842","https://openalex.org/W2029705873","https://openalex.org/W2030506068","https://openalex.org/W2032839191","https://openalex.org/W2036134158","https://openalex.org/W2037875909","https://openalex.org/W2039416862","https://openalex.org/W2041063714","https://openalex.org/W2041837206","https://openalex.org/W2045788344","https://openalex.org/W2046908285","https://openalex.org/W2052125265","https://openalex.org/W2052545038","https://openalex.org/W2052720729","https://openalex.org/W2053423120","https://openalex.org/W2054723044","https://openalex.org/W2054856439","https://openalex.org/W2057070808","https://openalex.org/W2057832643","https://openalex.org/W2058913783","https://openalex.org/W2060205683","https://openalex.org/W2060601835","https://openalex.org/W2064712156","https://openalex.org/W2068902190","https://openalex.org/W2069871855","https://openalex.org/W2071048859","https://openalex.org/W2071380757","https://openalex.org/W2074117827","https://openalex.org/W2075138946","https://openalex.org/W2078913341","https://openalex.org/W2079871264","https://openalex.org/W2081287854","https://openalex.org/W2087435909","https://openalex.org/W2088325035","https://openalex.org/W2089385328","https://openalex.org/W2089884691","https://openalex.org/W2092055958","https://openalex.org/W2093294243","https://openalex.org/W2093588326","https://openalex.org/W2094750064","https://openalex.org/W2095459380","https://openalex.org/W2098179194","https://openalex.org/W2100217006","https://openalex.org/W2107596823","https://openalex.org/W2113980287","https://openalex.org/W2118832790","https://openalex.org/W2119893119","https://openalex.org/W2132597334","https://openalex.org/W2133359156","https://openalex.org/W2140024523","https://openalex.org/W2151220617","https://openalex.org/W2156143112","https://openalex.org/W2159099258","https://openalex.org/W2245143621","https://openalex.org/W2364835662","https://openalex.org/W2468750585","https://openalex.org/W2495383918","https://openalex.org/W2546762001","https://openalex.org/W2591067744","https://openalex.org/W2593857141","https://openalex.org/W2608205557","https://openalex.org/W2625656753","https://openalex.org/W2749501164","https://openalex.org/W2751543853","https://openalex.org/W2751548438","https://openalex.org/W2790372842","https://openalex.org/W2801399764","https://openalex.org/W2803980526","https://openalex.org/W2884062455","https://openalex.org/W2896258933","https://openalex.org/W2946215543","https://openalex.org/W2954088338","https://openalex.org/W2964280276","https://openalex.org/W3007511823","https://openalex.org/W4250311545","https://openalex.org/W4301860949","https://openalex.org/W6668500736","https://openalex.org/W6770950570","https://openalex.org/W6785983449","https://openalex.org/W6799869755","https://openalex.org/W6929456176"],"related_works":[],"abstract_inverted_index":{"fluctuations).":[0,27,68],"A":[1],"useful":[2],"practical":[3],"consequence":[4],"is":[5,35,103],"that":[6,31,49,109,148],"in":[7],"unitary":[8,33],"dynamics":[9,130],"the":[10,43,59,73,115,118,123,134,149],"states":[11,152],"with":[12,17,37,153,158],"longer":[13,154],"lifetimes":[14],"are":[15,156],"those":[16,157],"smaller":[18,159],"energy":[19,26],"uncertainty":[20,61,75,136,161],"\u0394":[21,62,81,91,140,162],"H":[22,82],"(square":[23,64],"root":[24,65],"of":[25,41,66,117,122],"Here":[28],"we":[29,71],"show":[30],"when":[32],"evolution":[34],"complemented":[36],"a":[38,104],"steepest-entropy-ascent":[39,120],"model":[40],"dissipation,":[42],"resulting":[44],"nonlinear":[45],"master":[46,125],"equation":[47],"entails":[48],"these":[50],"lower":[51],"bounds":[52],"get":[53],"modified":[54],"and":[55],"depend":[56],"also":[57],"on":[58],"entropy":[60,67,160],"S":[63,92,141,163],"For":[69,127],"example,":[70],"obtain":[72],"time-energy-and-time-entropy":[74],"relation":[76,137],"(":[77,88],"2":[78,86,98],"\u03c4":[79,89,96,102,138,145],"F":[80,90,139],"/":[83,93],"\u210f":[84],")":[85,97],"+":[87],"k":[94,143],"B":[95,144],"\u2265":[99,142],"1":[100],"where":[101],"characteristic":[105],"dissipation":[106],"time":[107],"functional":[108],"for":[110],"each":[111],"given":[112],"state":[113],"defines":[114],"strength":[116],"nonunitary,":[119],"part":[121],"assumed":[124],"equation.":[126],"purely":[128],"dissipative":[129,151],"this":[131],"reduces":[132],"to":[133],"time-entropy":[135],",":[146],"meaning":[147],"nonequilibrium":[150],"lifetime":[155],".":[164]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":1}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2019-07-23T00:00:00"}