Efficiency at Maximum Power of Low-Dissipation Carnot Engines

被引:453
|
作者
Esposito, Massimiliano [1 ]
Kawai, Ryoichi [2 ]
Lindenberg, Katja [3 ,4 ]
Van den Broeck, Christian [5 ]
机构
[1] Univ Libre Bruxelles, Ctr Nonlinear Phenomena & Complex Syst, B-1050 Brussels, Belgium
[2] Univ Alabama, Dept Phys, Birmingham, AL 35294 USA
[3] Univ Calif San Diego, Dept Chem & Biochem, La Jolla, CA 92093 USA
[4] Univ Calif San Diego, BioCircuits Inst, La Jolla, CA 92093 USA
[5] Hasselt Univ, B-3590 Diepenbeek, Belgium
关键词
HEAT ENGINES; THERMODYNAMICS; CYCLE;
D O I
10.1103/PhysRevLett.105.150603
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We study the efficiency at maximum power, eta*, of engines performing finite-time Carnot cycles between a hot and a cold reservoir at temperatures T(h) and T(c), respectively. For engines reaching Carnot efficiency eta(C) = 1 - T(c)/T(h) in the reversible limit (long cycle time, zero dissipation), we find in the limit of low dissipation that eta* is bounded from above by eta(C)/(2 - eta(C)) and from below by eta(C)/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 eta(CA) = 1 - root T(c)/T(h) is recovered.
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页数:4
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