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Phys. Rev. Lett. 105, 150603 (2010) [4 pages]

Efficiency at Maximum Power of Low-Dissipation Carnot Engines

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Massimiliano Esposito
Center for Nonlinear Phenomena and Complex Systems, Université Libre de Bruxelles, CP 231, Campus Plaine, B-1050 Brussels, Belgium

Ryoichi Kawai
Department of Physics, University of Alabama at Birmingham, 1300 University Boulevard, Birmingham, Alabama 35294-1170, USA

Katja Lindenberg
Department of Chemistry and Biochemistry and BioCircuits Institute, University of California, San Diego, La Jolla, California 92093-0340, USA

Christian Van den Broeck
Hasselt University, B-3590 Diepenbeek, Belgium

Received 14 August 2010; revised 3 September 2010; published 7 October 2010

We study the efficiency at maximum power, η*, of engines performing finite-time Carnot cycles between a hot and a cold reservoir at temperatures Th and Tc, respectively. For engines reaching Carnot efficiency ηC=1-Tc/Th in the reversible limit (long cycle time, zero dissipation), we find in the limit of low dissipation that η* is bounded from above by ηC/(2-ηC) and from below by ηC/2. These bounds are reached when the ratio of the dissipation during the cold and hot isothermal phases tend, respectively, to zero or infinity. For symmetric dissipation (ratio one) the Curzon-Ahlborn efficiency ηCA=1-√Tc/Th is recovered.

© 2010 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.105.150603
DOI:
10.1103/PhysRevLett.105.150603
PACS:
05.70.Ln, 05.20.-y