Efficiency at maximum power of low dissipation Carnot engines

Details Efficiency at maximum power of low dissipation Carnot engines Efficiency at maximum power of low dissipation Carnot engines

2010-08-14

arxiv.org/abs/1008.2464v2

Phys. Rev. Lett. 105, 150603 (2010)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 1 figure, 1 table

Scientific paper

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 $\eta_{CA}=1-\sqrt{T_c/T_h}$ is recovered.

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