Universality of efficiency of an unsteady-state heat engine at maximum instantaneous power |
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| Authors: | Xian-Zhi Wang |
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| Institution: | 1. Department of Solid State Physics, Faculty of Physics and Applied Informatics, University of ?ód?, ulica Pomorska 149/153, 90-236 ?ód?, Poland;2. Department of Theoretical Physics and Astrophysics, Faculty of Science, P. J. ?áfárik University, Park Angelinum 9, 041 54 Ko?ice, Slovak Republic;1. Department of Philosophy, London School of Economics, Houghton Street, London WC2A 2AE, United Kingdom;2. Department of Philosophy, University of Salzburg, Franziskanergasse 1, 5020 Salzburg, Austria;1. McDonnell Center for the Space Sciences & Department of Physics, Washington University, St. Louis, MO 63130, USA;2. Russian Research Centre Kurchatov Institute, Moscow, 123182, Russia;3. Moscow Institute of Physics and Technology, Moscow, 123098, Russia;2. Department of Physics, University of Florida, Gainesville, Fl, USA |
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| Abstract: | In 1975, Curzon and Ahlborn 2] showed that the efficiency of the finite-time Carnot cycle at maximum power is universal. This raises the issue of universality of the efficiency at maximum power. In 2005, Van den Broeck 3] demonstrated that in the linear regime, the efficiency of a steady-state heat engine at maximum power is universal. Further studies indicated that the values of the linear and quadratic coefficients of the efficiency at maximum power are universal for several strong coupling steady-state models and for an overdamped Brownian particle in a time-dependent harmonic potential M. Esposito, K. Lindenberg, C. Van den Broeck, Phys. Rev. Lett. 102 (2009) 130602]. In this paper, we demonstrate that in the linear regime, the efficiency of an unsteady-state heat engine at maximum instantaneous power is universal. |
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