{"id":"https://openalex.org/W2738858596","doi":"https://doi.org/10.3390/e19070369","title":"The History and Perspectives of Efficiency at Maximum Power of the Carnot Engine","display_name":"The History and Perspectives of Efficiency at Maximum Power of the Carnot Engine","publication_year":2017,"publication_date":"2017-07-19","ids":{"openalex":"https://openalex.org/W2738858596","doi":"https://doi.org/10.3390/e19070369","mag":"2738858596"},"language":"en","primary_location":{"id":"doi:10.3390/e19070369","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e19070369","pdf_url":"https://www.mdpi.com/1099-4300/19/7/369/pdf?version=1500893798","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":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1099-4300/19/7/369/pdf?version=1500893798","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5025830555","display_name":"Michel Feidt","orcid":null},"institutions":[{"id":"https://openalex.org/I4210110956","display_name":"Laboratoire \u00c9nergies et M\u00e9canique Th\u00e9orique et Appliqu\u00e9e","ror":"https://ror.org/01pfter31","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210095849","https://openalex.org/I4210110956","https://openalex.org/I90183372"]},{"id":"https://openalex.org/I90183372","display_name":"Universit\u00e9 de Lorraine","ror":"https://ror.org/04vfs2w97","country_code":"FR","type":"education","lineage":["https://openalex.org/I90183372"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Michel Feidt","raw_affiliation_strings":["Laboratoire d\u2019\u00c9nerg\u00e9tique et de M\u00e9canique Th\u00e9orique et Appliqu\u00e9e, UMR 7563, Universit\u00e9 de Lorraine, 54518 Vandoeuvre-l\u00e8s-Nancy, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire d\u2019\u00c9nerg\u00e9tique et de M\u00e9canique Th\u00e9orique et Appliqu\u00e9e, UMR 7563, Universit\u00e9 de Lorraine, 54518 Vandoeuvre-l\u00e8s-Nancy, France","institution_ids":["https://openalex.org/I4210110956","https://openalex.org/I90183372"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5025830555"],"corresponding_institution_ids":["https://openalex.org/I4210110956","https://openalex.org/I90183372"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":3.1236,"has_fulltext":true,"cited_by_count":43,"citation_normalized_percentile":{"value":0.91921601,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"19","issue":"7","first_page":"369","last_page":"369"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":1.0,"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":1.0,"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/T10402","display_name":"Phase Equilibria and Thermodynamics","score":0.9965999722480774,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"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/T13539","display_name":"thermodynamics and calorimetric analyses","score":0.9898999929428101,"subfield":{"id":"https://openalex.org/subfields/1606","display_name":"Physical and Theoretical Chemistry"},"field":{"id":"https://openalex.org/fields/16","display_name":"Chemistry"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/carnot-cycle","display_name":"Carnot cycle","score":0.9861416220664978},{"id":"https://openalex.org/keywords/transient","display_name":"Transient (computer programming)","score":0.6053382158279419},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5364077687263489},{"id":"https://openalex.org/keywords/work","display_name":"Work (physics)","score":0.503168523311615},{"id":"https://openalex.org/keywords/isothermal-process","display_name":"Isothermal process","score":0.4692516326904297},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.463441401720047},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.4557700753211975},{"id":"https://openalex.org/keywords/maximum-power-principle","display_name":"Maximum power principle","score":0.4186224043369293},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.39948374032974243},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.23897415399551392},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.13456442952156067}],"concepts":[{"id":"https://openalex.org/C119104473","wikidata":"https://www.wikidata.org/wiki/Q188910","display_name":"Carnot cycle","level":2,"score":0.9861416220664978},{"id":"https://openalex.org/C2780799671","wikidata":"https://www.wikidata.org/wiki/Q17087362","display_name":"Transient (computer programming)","level":2,"score":0.6053382158279419},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5364077687263489},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.503168523311615},{"id":"https://openalex.org/C133347239","wikidata":"https://www.wikidata.org/wiki/Q486921","display_name":"Isothermal process","level":2,"score":0.4692516326904297},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.463441401720047},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.4557700753211975},{"id":"https://openalex.org/C116615679","wikidata":"https://www.wikidata.org/wiki/Q6795908","display_name":"Maximum power principle","level":3,"score":0.4186224043369293},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.39948374032974243},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.23897415399551392},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.13456442952156067},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/e19070369","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e19070369","pdf_url":"https://www.mdpi.com/1099-4300/19/7/369/pdf?version=1500893798","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":"pmh:oai:doaj.org/article:cfc6ec4ebe0941ef812a97bb01214ac1","is_oa":true,"landing_page_url":"https://doaj.org/article/cfc6ec4ebe0941ef812a97bb01214ac1","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 19, Iss 7, p 369 (2017)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/1099-4300/19/7/369/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/e19070369","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; Volume 19; Issue 7; Pages: 369","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/e19070369","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e19070369","pdf_url":"https://www.mdpi.com/1099-4300/19/7/369/pdf?version=1500893798","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/W2738858596.pdf","grobid_xml":"https://content.openalex.org/works/W2738858596.grobid-xml"},"referenced_works_count":10,"referenced_works":["https://openalex.org/W259295971","https://openalex.org/W1986901813","https://openalex.org/W2015855417","https://openalex.org/W2039407700","https://openalex.org/W2080568849","https://openalex.org/W2084255008","https://openalex.org/W2099045037","https://openalex.org/W2110132856","https://openalex.org/W2136404236","https://openalex.org/W6654375942"],"related_works":["https://openalex.org/W1967327079","https://openalex.org/W2078948507","https://openalex.org/W2096441378","https://openalex.org/W2903607188","https://openalex.org/W3161486556","https://openalex.org/W2894156923","https://openalex.org/W4242579016","https://openalex.org/W4322713854","https://openalex.org/W2059937288","https://openalex.org/W2980542203"],"abstract_inverted_index":{"Finite":[0,28,208],"Time":[1,29],"Thermodynamics":[2,30],"is":[3,149,157,201],"generally":[4],"associated":[5,164],"with":[6,85],"the":[7,11,18,25,38,52,61,66,73,89,107,121,127,132,147,152,158,163,173,184,188,195,216],"Curzon\u2013Ahlborn":[8],"approach":[9],"to":[10,123,136,139,150,161,178,204],"Carnot":[12,74,185],"cycle.":[13],"Recently,":[14],"previous":[15],"publications":[16],"on":[17,65,172],"subject":[19],"were":[20],"discovered,":[21],"which":[22,106,119,155],"prove":[23],"that":[24,68,176,194],"history":[26],"of":[27,40,51,72,88,116,129,146,183,218],"started":[31],"more":[32],"than":[33],"sixty":[34],"years":[35],"before":[36],"even":[37],"work":[39],"Chambadal":[41],"and":[42,54,60,96,113,160,192],"Novikov":[43],"(1957).":[44],"The":[45,70,143,181],"paper":[46],"proposes":[47],"a":[48,101,168],"careful":[49],"examination":[50],"similarities":[53],"differences":[55],"between":[56],"these":[57],"pioneering":[58],"works":[59,67],"consequences":[62],"they":[63],"had":[64],"followed.":[69],"modelling":[71,84,99,115,130],"engine":[75,186],"was":[76],"carried":[77,190],"out":[78,191],"in":[79,215],"three":[80],"steps,":[81],"namely":[82],"(1)":[83],"time":[86,108,122,214],"durations":[87],"isothermal":[90],"processes,":[91],"as":[92],"done":[93],"by":[94],"Curzon":[95],"Ahlborn;":[97],"(2)":[98],"at":[100],"steady-state":[102],"operation":[103],"regime":[104],"for":[105,198],"does":[109],"not":[110],"appear":[111,124],"explicitly;":[112],"(3)":[114],"transient":[117,219],"conditions":[118],"requires":[120],"explicitly.":[125],"Whatever":[126],"method":[128],"used,":[131],"subsequent":[133],"optimization":[134],"appears":[135],"be":[137],"related":[138],"specific":[140,169],"physical":[141],"dimensions.":[142],"main":[144,174],"goal":[145],"methodology":[148],"choose":[151],"objective":[153],"function,":[154],"here":[156],"power,":[159],"define":[162],"constraints.":[165],"We":[166],"propose":[167],"approach,":[170],"focusing":[171],"functions":[175],"respond":[177],"engineering":[179],"requirements.":[180],"study":[182],"illustrates":[187],"synthesis":[189],"proves":[193],"primary":[196],"interest":[197],"an":[199],"engineer":[200],"mainly":[202],"connected":[203],"what":[205],"we":[206],"called":[207],"(physical)":[209],"Dimensions":[210],"Optimal":[211],"Thermodynamics,":[212],"including":[213],"case":[217],"modelling.":[220]},"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":8},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":7},{"year":2018,"cited_by_count":4}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
