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
H.B. Callen, Thermodynamics and an Introduction to Thermostatistics, 2nd Ed. (John Wiley and Sons, 1985)
L. Onsager, Phys. Rev. 37, 405 (1931)
C. Bustamante, J. Liphardt, F. Ritort, Phys. Today 58, 43 (2005)
K. Sekimoto, Stochastic Energetics (Springer, New York, 2010)
C. Jarzynski, Annu. Rev. Condens. Matter Phys. 2, 329 (2011)
U. Seifert, Rep. Prog. Phys. 75, 126001 (2012)
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
C. Van den Broeck, M. Esposito, Physica A 418, 6 (2015)
D. Andrieux, P. Gaspard, J. Stat. Mech., P02006 (2007)
R.D. Astumian, Phys. Rev. Lett. 101, 046802 (2008)
C. Van den Broeck, Phys. Rev. Lett. 95, 190602 (2005)
C. Van den Broeck, Adv. Chem. Phys. 135, 189 (2007)
T. Schmiedl, U. Seifert, EPL 81, 20003 (2008)
T. Schmiedl, U. Seifert, EPL 83, 30005 (2008)
M. Esposito, L. Lindenberg, C. Van den Broeck, Phys. Rev. Lett. 102, 130602 (2009)
B. Rutten, M. Esposito, B. Cleuren, Phys. Rev. B 80, 235122 (2009)
U. Seifert, Phys. Rev. Lett. 106, 020601 (2011)
N. Golubeva, A. Imparato, Phys. Rev. Lett. 109, 190602 (2012)
N. Golubeva, A. Imparato, Phys. Rev. E 88, 0121144 (2013)
N. Golubeva, A. Imparato, Phys. Rev. E 89, 062118 (2014)
C. Van den Broeck, K. Lindenberg, Phys. Rev. E 86, 041144 (2012)
C. Van den Broeck, N. Kumar, K. Lindenberg, Phys. Rev. Lett. 108, 210602 (2012)
M. Esposito, N. Kumar, K. Lindenberg, C. Van den Broeck, Phys. Rev. E 85, 031117 (2012)
H. Hooyberghs, B. Cleuren, A. Salazar, J. Indekeu, C. Van den Broeck, J. Chem. Phys. 139, 134111 (2013)
C. Van den Broeck, EPL 101, 10006 (2013)
I. Novikov, J. Nucl. Energy II 7, 125 (1958)
F. Curzon, B. Ahlborn, Am. J. Phys. 43, 22 (1975)
D. Andrieux, P. Gaspard, J. Stat. Phys. 127, 107 (2007)
P. Gaspard, New. J. Phys. 15, 115014 (2013)
D. Andrieux, P. Gaspard, J. Chem. Phys. 121, 6167 (2004)
O. Kedem, S. Caplan, Trans. Faraday Soc. 61, 1897 (1965)
T. Humphrey, H. Linke, Phys. Rev. Lett. 94, 096601 (2005)
G. Verley, T. Willaert, C. Van den Broeck, M. Esposito, Nat. Comm. 5, 4721 (2014)
T.R. Gingrich, G.M. Rotskoff, S. Vaikuntanathan, P.L. Geissler, New J. Phys. 16, 102003 (2014)
G. Verley, M. Esposito, T. Willaert, C. Van den Broeck, Phys. Rev. E 90, 052145 (2014)
M. Polettini, G. Verley, M. Esposito, Phys. Rev. Lett. 114, 050601 (2015)
K. Proesmans, B. Cleuren, C. Van den Broeck, EPL 109, 20004 (2015)
K. Proesmans, C. Van den Broeck, New J. Phys. 17, 065004 (2015)
References
M. Esposito, U. Harbola, S. Mukamel, Rev. Mod. Phys. 81, 1665 (2009)
C. Van den Broeck, Phys. Rev. Lett. 95, 190602 (2005)
M. Esposito, K. Lindenberg, C. Van den Broeck, Phys. Rev. Lett. 101, 130602 (2009)
G. Verley, T. Willaert, C. Van den Broeck, M. Esposito, Phys. Rev. E 90, 152145 (2014)
J. Novikov, J. Nuclear Energy II 7, 125 (1958)
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
M. Moreau, Y. Pomeau, Eur. Phys. J. Special Topics 224(5), 769 (2015)
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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