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Comparative performance analysis of a Brownian Carnot cycle from the perspective of a stochastic model against the Linear Irreversible Thermodynamics theory.
Ricardo T Paez Páez-Hernández 1 , Juan Carlos Chimal-Eguía * 2 , Juan Carlos Pacheco-Paez 3, 4
1  UNIVERSIDAD AUTONOMA METROPOLITANA U Azcapotzalco Av. San Pablo No. 180 Col. Reynosa Tamaulipas, CP02200, Ciudad de México, MEXICO
2  Centro de Investigación en Computación del IPN, Av. Juan de Dios Batiz s/n esq Miguel Othón de Mendizabal, col. San Pedro Zacatenco, C. P. 07738, Ciudad de México, México
3  Facultad de Estudios Superiores, Acatlán UNAM, División de Matemáticas en Ingeniería, Departamento de Matemáticas Aplicadas y Computación.
4  UNIVERSIDAD AUTONOMA METROPOLITANA U Azcapotzalco Av. San Pablo No. 180 Col. Reynosa Tamaulipas, CP02200, Ciudad de México, MEXICO (Posdoc)

Published: 05 May 2021 by MDPI in Entropy 2021: The Scientific Tool of the 21st Century session Thermodynamics
10.3390/Entropy2021-09814
Abstract:

In this work we present a Brownian Carnot Cycle, which has already been studied by Schmield et al (2007) as well as Izumida and Okuda (2010); but now considering two different woring regimes, namely the Maximum Ecological Function (MEF) and the Maximum Efficient Power (MEP). Fort he MEF and MEP working regimes, the thermodynamic properties of the cycle are obtained, in particular, it showed that the máximum efficiency now depends on two parameters α and β, instead of only one parameter obtained previously by Schmield et al. In máximum power regime. It is worthwhile to notice that for characteristic values of α and β the original results obtained by Schmield are recovered.

From the previous observations, the authors consider that the results obtained represent a more general case that includes other working regimes. is important remark that one of the most astonishing results obtained, is that those thermal engine models show some universality regarding the behavior of the efficiency when it works at the maximum power regime [10], although the analyzed models were different in nature and scale.

Keywords: Brownian Carnot engine, sthocastic, Maximum Ecological Function, Maximu Efficient Power
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