Link between optimization and local stability of a low-dissipation heat engine: Dynamic and energetic behaviors

J. Gonzalez-Ayala, M. Santillán, I. Reyes-Ramírez, and A. Calvo-Hernández
Phys. Rev. E 98, 032142 – Published 27 September 2018

Abstract

In the present paper we study the connection between local stability and energetic properties in low-dissipation heat engines operating in the maximum-power and maximum-compromise (Ω) regimes. We consider two different feedback regulatory pathways: (1) one in which restitutive forces linearly depend on the deviations from the stationary values of the heat exchanges with the hot and cold reservoirs and (2) another where restitutive forces depend on the deviations from the stationary values of the power output and the heat outflux into the cold reservoir. The first dynamics leads to an isolated stable point while in the second one the system is metastable. Further analysis of random perturbations from the steady state gives valuable information about the dynamic behavior of thermodynamic properties like entropy, power, and efficiency in both operation regimes.

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  • Received 19 July 2018

DOI:https://doi.org/10.1103/PhysRevE.98.032142

©2018 American Physical Society

Physics Subject Headings (PhySH)

Statistical Physics & ThermodynamicsFluid DynamicsGeneral Physics

Authors & Affiliations

J. Gonzalez-Ayala1,2,*, M. Santillán3,†, I. Reyes-Ramírez4,‡, and A. Calvo-Hernández1,2,§

  • 1Departamento de Física Aplicada, Universidad de Salamanca, 37008 Salamanca, Spain
  • 2Instituto de Física Fundamental y Matemáticas, Universidad de Salamanca, 37008 Salamanca, Spain
  • 3Centro de Investigación y Estudios Avanzados del IPN Unidad Monterrey, 66600 Apodaca, Nuevo León, Mexico
  • 4Instituto Politécnico Nacional-UPIITA, 07340 Ciudad de México, Mexico

  • *jgonzalezayala@usal.es
  • msantillan@cinvestav.mx
  • ireyesram@hotmail.com
  • §anca@usal.es

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Issue

Vol. 98, Iss. 3 — September 2018

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