Efficiency at maximum power of minimally nonlinear irreversible heat engines

Abstract

We propose the minimally nonlinear irreversible heat engine as a new general theoretical model to study the efficiency at the maximum power ${\eta }^{\ast }$ 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 ${\eta }^{\ast }$ is bounded from the upper side by a function of the Carnot efficiency ${\eta }_C\equiv 1-T_c/T_h$ as ${\eta }^{\ast }\le {\eta }_C/(2-{\eta }_C)$. We demonstrate the validity of our theory by showing that the low-dissipation Carnot engine can easily be described by our theory.

6 pages, 1 figure

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