{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T04:47:22Z","timestamp":1760244442032,"version":"build-2065373602"},"reference-count":41,"publisher":"MDPI AG","issue":"11","license":[{"start":{"date-parts":[[2022,11,14]],"date-time":"2022-11-14T00:00:00Z","timestamp":1668384000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>In this paper, we show an analysis of the global stability of a Curzon\u2013Ahlborn engine considering that the working substance of the engine satisfies the Van der Waals equation of state, which is more general than the ideal gas case. We use the Lyapunov stability theory for the case where the engine operates at a maximum power output. We analyze the steady state of the intermediate temperatures as well as the asymptotic behavior of the performance of the engine. Additionally, we study the relationship between the inherent time delay by analyzing the dynamic properties of the system and the stability of the steady state. We present illustrative graphs of the obtained results. Finally, we include a brief discussion of the obtained results and appropriate conclusions.<\/jats:p>","DOI":"10.3390\/e24111655","type":"journal-article","created":{"date-parts":[[2022,11,15]],"date-time":"2022-11-15T02:28:58Z","timestamp":1668479338000},"page":"1655","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Global Stability of the Curzon-Ahlborn Engine with a Working Substance That Satisfies the van der Waals Equation of State"],"prefix":"10.3390","volume":"24","author":[{"given":"Juan Carlos","family":"Pacheco-Paez","sequence":"first","affiliation":[{"name":"Basic Sciences Departament, Metropolitan Autonomus University, Campus Azcapotzalco, Av. San Pablo 180, Col. Reynosa, Mexico City CP 02200, Mexico"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7134-0190","authenticated-orcid":false,"given":"Juan Carlos","family":"Chimal-Egu\u00eda","sequence":"additional","affiliation":[{"name":"Laboratorio de Simulaci\u00f3n y Modelado, Centro de Investigaci\u00f3n en Computaci\u00f3n, Instituto Polit\u00e9cnico Nacional, Av. Juan de Dios B\u00e1tiz s\/n UP Zacatenco, Mexico City CP 07738, Mexico"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9401-8436","authenticated-orcid":false,"given":"Ricardo","family":"P\u00e1ez-Hern\u00e1ndez","sequence":"additional","affiliation":[{"name":"\u00c1rea de F\u00edsica de Procesos Irreversibles, Basic Sciences Departament, Metropolitan Autonomus University, Campus Azcapotzalco, Av. San Pablo 180, Col. Reynosa, Mexico City CP 02200, Mexico"}]},{"given":"Delfino","family":"Ladino-Luna","sequence":"additional","affiliation":[{"name":"\u00c1rea de F\u00edsica de Procesos Irreversibles, Basic Sciences Departament, Metropolitan Autonomus University, Campus Azcapotzalco, Av. San Pablo 180, Col. Reynosa, Mexico City CP 02200, Mexico"}]}],"member":"1968","published-online":{"date-parts":[[2022,11,14]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"22","DOI":"10.1119\/1.10023","article-title":"Efficiency of Carnot Engine at Maximum Power Out","volume":"43","author":"Curzon","year":"1975","journal-title":"Am. J. Phy."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"1571","DOI":"10.1063\/1.434122","article-title":"Thermodynamics in finite time: Extremals for imperfect heat engines","volume":"66","author":"Andresen","year":"1977","journal-title":"J. Chem. Phys."},{"key":"ref_3","unstructured":"Sieniutycz, S., and Salamon, P. (1990). 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