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Universality of efficiency at maximum power

Macroscopic manifestation of microscopic constraints

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Abstract

Universal properties of efficiency at maximum power are investigated in a general setting. In particular, it is demonstrated how successive symmetries placed upon the dynamics manifest themselves at the macroscopic level. A general condition is derived under which thermodynamic devices are able to attain a reversible operation.

This article is supplemented with comments by M. Moreau and Y. Pomeau.

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References

  1. H.B. Callen, Thermodynamics and an Introduction to Thermostatistics, 2nd Ed. (John Wiley and Sons, 1985)

  2. L. Onsager, Phys. Rev. 37, 405 (1931)

    Article  ADS  Google Scholar 

  3. C. Bustamante, J. Liphardt, F. Ritort, Phys. Today 58, 43 (2005)

    Article  Google Scholar 

  4. K. Sekimoto, Stochastic Energetics (Springer, New York, 2010)

  5. C. Jarzynski, Annu. Rev. Condens. Matter Phys. 2, 329 (2011)

    Article  ADS  Google Scholar 

  6. U. Seifert, Rep. Prog. Phys. 75, 126001 (2012)

    Article  ADS  Google Scholar 

  7. C. Van den Broeck, Stochastic thermodynamics: a brief introduction, in Physics of Complex Colloids, edited by C. Bechinger, F. Sciortino, P. Ziherl (IOS Press, Amsterdam, 2013), Vol. 184 of Proc. of the International School of Physics Enrico Fermi

  8. C. Van den Broeck, M. Esposito, Physica A 418, 6 (2015)

    Article  ADS  Google Scholar 

  9. D. Andrieux, P. Gaspard, J. Stat. Mech., P02006 (2007)

  10. R.D. Astumian, Phys. Rev. Lett. 101, 046802 (2008)

    Article  ADS  Google Scholar 

  11. C. Van den Broeck, Phys. Rev. Lett. 95, 190602 (2005)

    Article  ADS  Google Scholar 

  12. C. Van den Broeck, Adv. Chem. Phys. 135, 189 (2007)

    Google Scholar 

  13. T. Schmiedl, U. Seifert, EPL 81, 20003 (2008)

    Article  MathSciNet  ADS  Google Scholar 

  14. T. Schmiedl, U. Seifert, EPL 83, 30005 (2008)

    Article  ADS  Google Scholar 

  15. M. Esposito, L. Lindenberg, C. Van den Broeck, Phys. Rev. Lett. 102, 130602 (2009)

    Article  ADS  Google Scholar 

  16. B. Rutten, M. Esposito, B. Cleuren, Phys. Rev. B 80, 235122 (2009)

    Article  ADS  Google Scholar 

  17. U. Seifert, Phys. Rev. Lett. 106, 020601 (2011)

    Article  ADS  Google Scholar 

  18. N. Golubeva, A. Imparato, Phys. Rev. Lett. 109, 190602 (2012)

    Article  ADS  Google Scholar 

  19. N. Golubeva, A. Imparato, Phys. Rev. E 88, 0121144 (2013)

    Google Scholar 

  20. N. Golubeva, A. Imparato, Phys. Rev. E 89, 062118 (2014)

    Article  ADS  Google Scholar 

  21. C. Van den Broeck, K. Lindenberg, Phys. Rev. E 86, 041144 (2012)

    Article  ADS  Google Scholar 

  22. C. Van den Broeck, N. Kumar, K. Lindenberg, Phys. Rev. Lett. 108, 210602 (2012)

    Article  ADS  Google Scholar 

  23. M. Esposito, N. Kumar, K. Lindenberg, C. Van den Broeck, Phys. Rev. E 85, 031117 (2012)

    Article  ADS  Google Scholar 

  24. H. Hooyberghs, B. Cleuren, A. Salazar, J. Indekeu, C. Van den Broeck, J. Chem. Phys. 139, 134111 (2013)

    Article  ADS  Google Scholar 

  25. C. Van den Broeck, EPL 101, 10006 (2013)

    Article  ADS  Google Scholar 

  26. I. Novikov, J. Nucl. Energy II 7, 125 (1958)

    Google Scholar 

  27. F. Curzon, B. Ahlborn, Am. J. Phys. 43, 22 (1975)

    Article  ADS  Google Scholar 

  28. D. Andrieux, P. Gaspard, J. Stat. Phys. 127, 107 (2007)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  29. P. Gaspard, New. J. Phys. 15, 115014 (2013)

    Article  ADS  Google Scholar 

  30. D. Andrieux, P. Gaspard, J. Chem. Phys. 121, 6167 (2004)

    Article  ADS  Google Scholar 

  31. O. Kedem, S. Caplan, Trans. Faraday Soc. 61, 1897 (1965)

    Article  Google Scholar 

  32. T. Humphrey, H. Linke, Phys. Rev. Lett. 94, 096601 (2005)

    Article  ADS  Google Scholar 

  33. G. Verley, T. Willaert, C. Van den Broeck, M. Esposito, Nat. Comm. 5, 4721 (2014)

    Article  ADS  Google Scholar 

  34. T.R. Gingrich, G.M. Rotskoff, S. Vaikuntanathan, P.L. Geissler, New J. Phys. 16, 102003 (2014)

    Article  ADS  Google Scholar 

  35. G. Verley, M. Esposito, T. Willaert, C. Van den Broeck, Phys. Rev. E 90, 052145 (2014)

    Article  ADS  Google Scholar 

  36. M. Polettini, G. Verley, M. Esposito, Phys. Rev. Lett. 114, 050601 (2015)

    Article  ADS  Google Scholar 

  37. K. Proesmans, B. Cleuren, C. Van den Broeck, EPL 109, 20004 (2015)

    Article  ADS  Google Scholar 

  38. K. Proesmans, C. Van den Broeck, New J. Phys. 17, 065004 (2015)

    Article  Google Scholar 

References

  1. M. Esposito, U. Harbola, S. Mukamel, Rev. Mod. Phys. 81, 1665 (2009)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  2. C. Van den Broeck, Phys. Rev. Lett. 95, 190602 (2005)

    Article  Google Scholar 

  3. M. Esposito, K. Lindenberg, C. Van den Broeck, Phys. Rev. Lett. 101, 130602 (2009)

    Article  Google Scholar 

  4. G. Verley, T. Willaert, C. Van den Broeck, M. Esposito, Phys. Rev. E 90, 152145 (2014)

    Article  ADS  Google Scholar 

  5. J. Novikov, J. Nuclear Energy II 7, 125 (1958)

    Google Scholar 

  6. J. Yvon, et al., The Saclay reactor: two years experience on heat transfer by means of a compressed gas, Proceedings of the International Conference on Peaceful Uses of Atomic Energy, Geneva (1955), p. 387

    Google Scholar 

  7. M. Moreau, Y. Pomeau, Eur. Phys. J. Special Topics 224(5), 769 (2015)

    Article  Google Scholar 

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Cleuren, B., Rutten, B. & Van den Broeck, C. Universality of efficiency at maximum power. Eur. Phys. J. Spec. Top. 224, 879–889 (2015). https://doi.org/10.1140/epjst/e2015-02433-8

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  • DOI: https://doi.org/10.1140/epjst/e2015-02433-8

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