{"id":"https://openalex.org/W3100126054","doi":"https://doi.org/10.3390/e22111323","title":"Optimization, Stability, and Entropy in Endoreversible Heat Engines","display_name":"Optimization, Stability, and Entropy in Endoreversible Heat Engines","publication_year":2020,"publication_date":"2020-11-20","ids":{"openalex":"https://openalex.org/W3100126054","doi":"https://doi.org/10.3390/e22111323","mag":"3100126054","pmid":"https://pubmed.ncbi.nlm.nih.gov/33287088"},"language":"en","primary_location":{"id":"doi:10.3390/e22111323","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e22111323","pdf_url":"https://www.mdpi.com/1099-4300/22/11/1323/pdf?version=1605867312","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","pubmed"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1099-4300/22/11/1323/pdf?version=1605867312","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5050636901","display_name":"Juli\u00e1n Gonz\u00e1lez-Ayala","orcid":"https://orcid.org/0000-0002-2896-7542"},"institutions":[{"id":"https://openalex.org/I184999862","display_name":"Universidad de Salamanca","ror":"https://ror.org/02f40zc51","country_code":"ES","type":"education","lineage":["https://openalex.org/I184999862"]},{"id":"https://openalex.org/I4210095385","display_name":"Instituto de F\u00edsica Fundamental","ror":"https://ror.org/009wseg80","country_code":"ES","type":"facility","lineage":["https://openalex.org/I134820265","https://openalex.org/I4210095385"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Julian Gonzalez-Ayala","raw_affiliation_strings":["Departamento de F\u00edsica Aplicada, Universidad de Salamanca, 37008 Salamanca, Spain","Instituto de F\u00edsica Fundamental y Matem\u00e1ticas, Universidad de Salamanca, 37008 Salamanca, Spain"],"raw_orcid":"https://orcid.org/0000-0002-2896-7542","affiliations":[{"raw_affiliation_string":"Departamento de F\u00edsica Aplicada, Universidad de Salamanca, 37008 Salamanca, Spain","institution_ids":["https://openalex.org/I184999862"]},{"raw_affiliation_string":"Instituto de F\u00edsica Fundamental y Matem\u00e1ticas, Universidad de Salamanca, 37008 Salamanca, Spain","institution_ids":["https://openalex.org/I4210095385","https://openalex.org/I184999862"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5052098714","display_name":"J. M. M. Roco","orcid":"https://orcid.org/0000-0002-8930-9201"},"institutions":[{"id":"https://openalex.org/I184999862","display_name":"Universidad de Salamanca","ror":"https://ror.org/02f40zc51","country_code":"ES","type":"education","lineage":["https://openalex.org/I184999862"]},{"id":"https://openalex.org/I4210095385","display_name":"Instituto de F\u00edsica Fundamental","ror":"https://ror.org/009wseg80","country_code":"ES","type":"facility","lineage":["https://openalex.org/I134820265","https://openalex.org/I4210095385"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Jos\u00e9 Miguel Mateos Roco","raw_affiliation_strings":["Departamento de F\u00edsica Aplicada, Universidad de Salamanca, 37008 Salamanca, Spain","Instituto de F\u00edsica Fundamental y Matem\u00e1ticas, Universidad de Salamanca, 37008 Salamanca, Spain"],"raw_orcid":"https://orcid.org/0000-0002-8930-9201","affiliations":[{"raw_affiliation_string":"Departamento de F\u00edsica Aplicada, Universidad de Salamanca, 37008 Salamanca, Spain","institution_ids":["https://openalex.org/I184999862"]},{"raw_affiliation_string":"Instituto de F\u00edsica Fundamental y Matem\u00e1ticas, Universidad de Salamanca, 37008 Salamanca, Spain","institution_ids":["https://openalex.org/I4210095385","https://openalex.org/I184999862"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5081132079","display_name":"A. Medina","orcid":"https://orcid.org/0000-0001-9797-4909"},"institutions":[{"id":"https://openalex.org/I184999862","display_name":"Universidad de Salamanca","ror":"https://ror.org/02f40zc51","country_code":"ES","type":"education","lineage":["https://openalex.org/I184999862"]},{"id":"https://openalex.org/I4210095385","display_name":"Instituto de F\u00edsica Fundamental","ror":"https://ror.org/009wseg80","country_code":"ES","type":"facility","lineage":["https://openalex.org/I134820265","https://openalex.org/I4210095385"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Alejandro Medina","raw_affiliation_strings":["Departamento de F\u00edsica Aplicada, Universidad de Salamanca, 37008 Salamanca, Spain","Instituto de F\u00edsica Fundamental y Matem\u00e1ticas, Universidad de Salamanca, 37008 Salamanca, Spain"],"raw_orcid":"https://orcid.org/0000-0001-9797-4909","affiliations":[{"raw_affiliation_string":"Departamento de F\u00edsica Aplicada, Universidad de Salamanca, 37008 Salamanca, Spain","institution_ids":["https://openalex.org/I184999862"]},{"raw_affiliation_string":"Instituto de F\u00edsica Fundamental y Matem\u00e1ticas, Universidad de Salamanca, 37008 Salamanca, Spain","institution_ids":["https://openalex.org/I4210095385","https://openalex.org/I184999862"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5025013306","display_name":"A. Calvo Hern\u00e1ndez","orcid":"https://orcid.org/0000-0002-5058-0395"},"institutions":[{"id":"https://openalex.org/I184999862","display_name":"Universidad de Salamanca","ror":"https://ror.org/02f40zc51","country_code":"ES","type":"education","lineage":["https://openalex.org/I184999862"]},{"id":"https://openalex.org/I4210095385","display_name":"Instituto de F\u00edsica Fundamental","ror":"https://ror.org/009wseg80","country_code":"ES","type":"facility","lineage":["https://openalex.org/I134820265","https://openalex.org/I4210095385"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Antonio Calvo Hern\u00e1ndez","raw_affiliation_strings":["Departamento de F\u00edsica Aplicada, Universidad de Salamanca, 37008 Salamanca, Spain","Instituto de F\u00edsica Fundamental y Matem\u00e1ticas, Universidad de Salamanca, 37008 Salamanca, Spain"],"raw_orcid":"https://orcid.org/0000-0002-5058-0395","affiliations":[{"raw_affiliation_string":"Departamento de F\u00edsica Aplicada, Universidad de Salamanca, 37008 Salamanca, Spain","institution_ids":["https://openalex.org/I184999862"]},{"raw_affiliation_string":"Instituto de F\u00edsica Fundamental y Matem\u00e1ticas, Universidad de Salamanca, 37008 Salamanca, Spain","institution_ids":["https://openalex.org/I4210095385","https://openalex.org/I184999862"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5050636901"],"corresponding_institution_ids":["https://openalex.org/I184999862","https://openalex.org/I4210095385"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":2.2695,"has_fulltext":true,"cited_by_count":20,"citation_normalized_percentile":{"value":0.88342288,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"22","issue":"11","first_page":"1323","last_page":"1323"},"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/T13539","display_name":"thermodynamics and calorimetric analyses","score":0.9883999824523926,"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"}},{"id":"https://openalex.org/T10998","display_name":"Heat Transfer and Optimization","score":0.9854999780654907,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical Engineering"},"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/heat-engine","display_name":"Heat engine","score":0.6097937822341919},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.5717647075653076},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.5166290402412415},{"id":"https://openalex.org/keywords/carnot-cycle","display_name":"Carnot cycle","score":0.46936920285224915},{"id":"https://openalex.org/keywords/heat-transfer","display_name":"Heat transfer","score":0.43090516328811646},{"id":"https://openalex.org/keywords/second-law-of-thermodynamics","display_name":"Second law of thermodynamics","score":0.4215434491634369},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.40515658259391785},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.401278555393219},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3708704710006714},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.3301617205142975}],"concepts":[{"id":"https://openalex.org/C57198161","wikidata":"https://www.wikidata.org/wiki/Q178185","display_name":"Heat engine","level":2,"score":0.6097937822341919},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.5717647075653076},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.5166290402412415},{"id":"https://openalex.org/C119104473","wikidata":"https://www.wikidata.org/wiki/Q188910","display_name":"Carnot cycle","level":2,"score":0.46936920285224915},{"id":"https://openalex.org/C50517652","wikidata":"https://www.wikidata.org/wiki/Q179635","display_name":"Heat transfer","level":2,"score":0.43090516328811646},{"id":"https://openalex.org/C119820323","wikidata":"https://www.wikidata.org/wiki/Q177045","display_name":"Second law of thermodynamics","level":2,"score":0.4215434491634369},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.40515658259391785},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.401278555393219},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3708704710006714},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.3301617205142975}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.3390/e22111323","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e22111323","pdf_url":"https://www.mdpi.com/1099-4300/22/11/1323/pdf?version=1605867312","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:33287088","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/33287088","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:dnet:gredos______::4af1b159e609910df6d4620cd5fc0e4a","is_oa":true,"landing_page_url":"http://hdl.handle.net/10366/144163","pdf_url":null,"source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"host_organization_lineage_names":[],"type":"repository"},"license":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:doaj.org/article:92148979c7d143019eb30efe89596880","is_oa":true,"landing_page_url":"https://doaj.org/article/92148979c7d143019eb30efe89596880","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 22, Iss 11, p 1323 (2020)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/1099-4300/22/11/1323/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/e22111323","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 22; Issue 11; Pages: 1323","raw_type":"Text"},{"id":"pmh:oai:pubmedcentral.nih.gov:7711472","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/7711472","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/e22111323","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e22111323","pdf_url":"https://www.mdpi.com/1099-4300/22/11/1323/pdf?version=1605867312","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":[{"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7","score":0.6899999976158142}],"awards":[{"id":"https://openalex.org/G3687209586","display_name":null,"funder_award_id":"SA017P17","funder_id":"https://openalex.org/F4320328351","funder_display_name":"Junta de Castilla y Le\u00f3n"},{"id":"https://openalex.org/G5065839958","display_name":null,"funder_award_id":"SA017P17","funder_id":"https://openalex.org/F4320328269","funder_display_name":"Universidad de Salamanca"},{"id":"https://openalex.org/G7059897320","display_name":null,"funder_award_id":"Project No. SA017P17","funder_id":"https://openalex.org/F4320325114","funder_display_name":"Consejer\u00eda de Educaci\u00f3n, Junta de Castilla y Le\u00f3n"}],"funders":[{"id":"https://openalex.org/F4320325114","display_name":"Consejer\u00eda de Educaci\u00f3n, Junta de Castilla y Le\u00f3n","ror":"https://ror.org/02s8dab97"},{"id":"https://openalex.org/F4320328269","display_name":"Universidad de Salamanca","ror":"https://ror.org/02f40zc51"},{"id":"https://openalex.org/F4320328351","display_name":"Junta de Castilla y Le\u00f3n","ror":"https://ror.org/02s8dab97"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3100126054.pdf","grobid_xml":"https://content.openalex.org/works/W3100126054.grobid-xml"},"referenced_works_count":43,"referenced_works":["https://openalex.org/W259295971","https://openalex.org/W1513618424","https://openalex.org/W1595498733","https://openalex.org/W1965555277","https://openalex.org/W1978252435","https://openalex.org/W1982665724","https://openalex.org/W1984142080","https://openalex.org/W1989141884","https://openalex.org/W2006508267","https://openalex.org/W2008136371","https://openalex.org/W2010701630","https://openalex.org/W2023057505","https://openalex.org/W2024745507","https://openalex.org/W2034747152","https://openalex.org/W2040411325","https://openalex.org/W2046123900","https://openalex.org/W2057763220","https://openalex.org/W2058119674","https://openalex.org/W2058350692","https://openalex.org/W2062660690","https://openalex.org/W2064082915","https://openalex.org/W2078223313","https://openalex.org/W2084255008","https://openalex.org/W2094251456","https://openalex.org/W2096489362","https://openalex.org/W2127977179","https://openalex.org/W2193324792","https://openalex.org/W2484101695","https://openalex.org/W2578546819","https://openalex.org/W2591447871","https://openalex.org/W2607303481","https://openalex.org/W2608291821","https://openalex.org/W2790281280","https://openalex.org/W2885337702","https://openalex.org/W2889470793","https://openalex.org/W2898600167","https://openalex.org/W2997295963","https://openalex.org/W3005013705","https://openalex.org/W3076460802","https://openalex.org/W3082293525","https://openalex.org/W3083385111","https://openalex.org/W3100102008","https://openalex.org/W6721993468"],"related_works":["https://openalex.org/W2033633017","https://openalex.org/W2149759708","https://openalex.org/W4224909154","https://openalex.org/W4309088624","https://openalex.org/W4281847583","https://openalex.org/W3138556471","https://openalex.org/W2795329981","https://openalex.org/W2339112116","https://openalex.org/W1511176687","https://openalex.org/W4301659011"],"abstract_inverted_index":{"The":[0,36],"stability":[1],"of":[2,59,70,81,104,117,128,133],"endoreversible":[3,161,193,241],"heat":[4,62,76,87,93,135,142],"engines":[5],"has":[6,45],"been":[7],"extensively":[8],"studied":[9],"in":[10,55,90,173,196,209,235],"the":[11,29,33,40,43,56,60,68,71,75,82,85,102,105,108,115,118,126,129,134,140,155,160,164,181,187,192,201,214,218,228,240,248,259,264],"literature.":[12],"In":[13],"this":[14],"paper,":[15],"an":[16],"alternative":[17],"dynamic":[18],"equations":[19],"system":[20,30,44],"was":[21,99,123,245],"obtained":[22],"by":[23,125],"using":[24],"restitution":[25],"forces":[26],"that":[27,42,101,247],"bring":[28],"back":[31],"to":[32],"stationary":[34,47,109],"state.":[35],"departing":[37],"point":[38],"is":[39],"assumption":[41],"a":[46,52,91,171,207,233,254],"fixed":[48],"point,":[49],"along":[50],"with":[51,139,170,206,222,232],"Taylor":[53],"expansion":[54],"first":[57],"order":[58],"input/output":[61,141],"fluxes,":[63],"without":[64],"further":[65],"specifications":[66],"regarding":[67],"properties":[69],"working":[72],"fluid":[73],"or":[74,190,231],"device":[77],"specifications.":[78],"Specific":[79],"cases":[80],"Newton":[83],"and":[84,166,195,203,263],"phenomenological":[86],"transfer":[88,136],"laws":[89],"Carnot-like":[92],"engine":[94],"model":[95],"were":[96,148],"analyzed.":[97],"It":[98],"shown":[100,246],"evolution":[103],"trajectories":[106,157,183,219],"toward":[107,227,239],"state":[110],"have":[111],"relevant":[112],"consequences":[113],"on":[114],"performance":[116],"system.":[119],"A":[120],"major":[121],"role":[122],"played":[124],"symmetries/asymmetries":[127],"conductance":[130],"ratio":[131],"\u03c3hc":[132,153,179],"law":[137],"associated":[138],"exchanges.":[143],"Accordingly,":[144],"three":[145],"main":[146],"behaviors":[147],"observed:":[149],"(1)":[150],"For":[151],"small":[152],"values,":[154,180],"thermodynamic":[156,182],"evolved":[158,184,220],"near":[159,186,191],"limit,":[162,194],"improving":[163],"efficiency":[165,202],"power":[167,204],"output":[168],"values":[169,205],"decrease":[172,208,234],"entropy":[174,210,224,236,250],"generation;":[175,211],"(2)":[176],"for":[177,213,257],"large":[178],"either":[185,221],"Pareto":[188,229],"front":[189,230],"both":[197,258],"cases,":[198],"they":[199],"improved":[200],"(3)":[212],"symmetric":[215],"case":[216],"(\u03c3hc=1),":[217],"increasing":[223],"generation":[225,237,251],"tending":[226,238],"limit.":[242],"Moreover,":[243],"it":[244],"total":[249],"can":[252],"define":[253],"time":[255,262],"scale":[256],"operation":[260],"cycle":[261],"relaxation":[265],"characteristic":[266],"time.":[267]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":14}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
