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Onsager coefficients of a finite-time Carnot cycle

Yuki Izumida and Koji Okuda

  • Division of Physics, Hokkaido University, Sapporo 060-0810, Japan

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Phys. Rev. E 80, 021121 – Published 24 August, 2009

DOI: https://doi.org/10.1103/PhysRevE.80.021121

Abstract

We study a finite-time Carnot cycle of a weakly interacting gas which we can regard as a nearly ideal gas in the limit of Th−Tc→0 where Th and Tc are the temperatures of the hot and cold heat reservoirs, respectively. In this limit, we can assume that the cycle is working in the linear-response regime and can calculate the Onsager coefficients of this cycle analytically using the elementary molecular kinetic theory. We reveal that these Onsager coefficients satisfy the so-called tight-coupling condition and this fact explains why the efficiency at the maximal power ηmax of this cycle can attain the Curzon-Ahlborn efficiency from the viewpoint of the linear-response theory.

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References (21)

  1. F. Curzon and B. Ahlborn, Am. J. Phys. 43, 22 (1975).
  2. H. Callen, Thermodynamics and an Introduction to Thermostatistics, 2nd ed. (Wiley, New York, 1985), Chap. 4.
  3. I. I. Novikov, J. Nucl. Energy 7, 125 (1958).
  4. Y. Izumida and K. Okuda, Europhys. Lett. 83, 60003 (2008).
  5. Y. Izumida and K. Okuda, Prog. Theor. Phys. Suppl. 178, 163 (2009).
  6. C. Van den Broeck, Phys. Rev. Lett. 95, 190602 (2005).
  7. A. Gomez-Marin and J. M. Sancho, Phys. Rev. E 74, 062102 (2006).
  8. T. Schmiedl and U. Seifert, Europhys. Lett. 81, 20003 (2008).
  9. Z. C. Tu, J. Phys. A 41, 312003 (2008).
  10. M. Esposito, K. Lindenberg, and C. Van den Broeck, Europhys. Lett. 85, 60010 (2009).
  11. M. Esposito, K. Lindenberg, and C. Van den Broeck, Phys. Rev. Lett. 102, 130602 (2009).
  12. R. Benjamin and R. Kawai, Phys. Rev. E 77, 051132 (2008).
  13. R. Tehver, F. Toigo, J. Koplik, and J. R. Banavar, Phys. Rev. E 57, R17 (1998).
  14. J. Birjukov, T. Jahnke, and G. Mahler, Eur. Phys. J. B 64, 105 (2008).
  15. L. Onsager, Phys. Rev. 37, 405 (1931).
  16. S. R. de Groot and P. Mazur, Non-Equilibrium Thermodynamics (Dover, New York, 1984).
  17. B. J. Alder and T. E. Wainwright, J. Chem. Phys. 31, 459 (1959).
  18. M. J. Ondrechen, B. Andresen, M. Mozurkewich, and R. S. Berry, Am. J. Phys. 49, 681 (1981).
  19. C. Van den Broeck, Adv. Chem. Phys. 135, 189 (2007).
  20. B. Jiménez de Cisneros and A. C. Hernández, Phys. Rev. Lett. 98, 130602 (2007).
  21. B. Jiménez de Cisneros and A. C. Hernández, Phys. Rev. E 77, 041127 (2008).

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Phys. Rev. E 80, 021121– Published 24 August, 2009
  • Received 6 June 2009

© 2009 American Physical Society

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