{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T16:11:51Z","timestamp":1760199111306,"version":"build-2065373602"},"reference-count":53,"publisher":"MDPI AG","issue":"12","license":[{"start":{"date-parts":[[2018,12,18]],"date-time":"2018-12-18T00:00:00Z","timestamp":1545091200000},"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>As it is well known both atmospheric and mantle convection are very complex phenomena. The dynamical description of these processes is a very difficult task involving complicated 2-D or 3-D mathematical models. However, a first approximation to these phenomena can be by means of simplified thermodynamic models where the restriction imposed by the laws of thermodynamics play an important role. An example of this approach is the model proposed by Gordon and Zarmi in 1989 to emulate the convective cells of the atmospheric air by using finite-time thermodynamics (FTT). In the present article we use the FTT Gordon-Zarmi model to coarsely describe the convection in the Earth\u2019s mantle. Our results permit the existence of two layers of convective cells along the mantle. Besides the model reasonably reproduce the temperatures of the main discontinuities in the mantle, such as the 410 km-discontinuity, the Repetti transition zone and the so-called D-Layer.<\/jats:p>","DOI":"10.3390\/e20120985","type":"journal-article","created":{"date-parts":[[2018,12,18]],"date-time":"2018-12-18T11:09:21Z","timestamp":1545131361000},"page":"985","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["A Simple Thermodynamic Model of the Internal Convective Zone of the Earth"],"prefix":"10.3390","volume":"20","author":[{"given":"Karen","family":"Arango-Reyes","sequence":"first","affiliation":[{"name":"Escuela Superior de F\u00edsica y Matem\u00e1ticas del Instituto Polit\u00e9cnico Nacional, Edif. 9 U.P. Zacatenco, Ciudad de M\u00e9xico 07738, Mexico"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6928-8303","authenticated-orcid":false,"given":"Marco Antonio","family":"Barranco-Jim\u00e9nez","sequence":"additional","affiliation":[{"name":"Escuela Superior de C\u00f3mputo del Instituto Polit\u00e9cnico Nacional, Av. Miguel Bernard, Esq. Av. Miguel Oth\u00f3n de Mendizabal, Colonia Lindavista, Ciudad de M\u00e9xico 07738, Mexico"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7596-2480","authenticated-orcid":false,"given":"Gonzalo","family":"Ares de Parga-\u00c1lvarez","sequence":"additional","affiliation":[{"name":"Escuela Superior de F\u00edsica y Matem\u00e1ticas del Instituto Polit\u00e9cnico Nacional, Edif. 9 U.P. Zacatenco, Ciudad de M\u00e9xico 07738, Mexico"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7965-890X","authenticated-orcid":false,"given":"Fernando","family":"Angulo-Brown","sequence":"additional","affiliation":[{"name":"Escuela Superior de F\u00edsica y Matem\u00e1ticas del Instituto Polit\u00e9cnico Nacional, Edif. 9 U.P. Zacatenco, Ciudad de M\u00e9xico 07738, Mexico"}]}],"member":"1968","published-online":{"date-parts":[[2018,12,18]]},"reference":[{"key":"ref_1","unstructured":"Tarbuck, E.J., and Lutgens, F.K. (2012). Earth Science, Prentice Hall\/Pearson."},{"key":"ref_2","unstructured":"Jackson, I. (1998). The Earth\u2019s Mantle: Composition, Structure and Evolution, Cambridge University Press."},{"key":"ref_3","doi-asserted-by":"crossref","unstructured":"Shubert, G., Turcotte, D.L., and Olson, P. (2001). Mantle Convection in the Earth and Planets, Cambridge University Press.","DOI":"10.1017\/CBO9780511612879"},{"key":"ref_4","unstructured":"Karato, S. (2003). 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