Efficiency at maximum power of minimally nonlinear irreversible heat engines

Details Efficiency at maximum power of minimally nonlinear irreversible heat engines Efficiency at maximum power of minimally nonlinear irreversible heat engines

2011-04-08

arxiv.org/abs/1104.1542v2

EPL, 97 (2012) 10004

Physics

Condensed Matter

Statistical Mechanics

6 pages, 1 figure

Scientific paper

10.1209/0295-5075/97/10004

We propose the minimally nonlinear irreversible heat engine as a new general theoretical model to study the efficiency at the maximum power $\eta^*$ of heat engines operating between the hot heat reservoir at the temperature $T_h$ and the cold one at $T_c$ ($T_c \le T_h $). Our model is based on the extended Onsager relations with a new nonlinear term meaning the power dissipation. In this model, we show that $\eta^*$ is bounded from the upper side by a function of the Carnot efficiency $\eta_C\equiv 1-T_c/T_h$ as $\eta^*\le \eta_C/(2-\eta_C)$. We demonstrate the validity of our theory by showing that the low-dissipation Carnot engine can easily be described by our theory.

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