Wang Honghui, He Jizhou, Wang Jianhui
Department of Physics, Nanchang University, Nanchang 330031, China.
State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190, China.
Phys Rev E. 2017 Jul;96(1-1):012152. doi: 10.1103/PhysRevE.96.012152. Epub 2017 Jul 28.
We analyze general models of quantum heat engines operating a cycle of two adiabatic and two isothermal processes. We use the quantum master equation for a system to describe heat transfer current during a thermodynamic process in contact with a heat reservoir, with no use of phenomenological thermal conduction. We apply the endoreversibility description to such engine models working in the linear response regime and derive expressions of the efficiency and the power. By analyzing the entropy production rate along a single cycle, we identify the thermodynamic flux and force that a linear relation connects. From maximizing the power output, we find that such heat engines satisfy the tight-coupling condition and the efficiency at maximum power agrees with the Curzon-Ahlborn efficiency known as the upper bound in the linear response regime.
我们分析了运行两个绝热过程和两个等温过程循环的量子热机的一般模型。我们使用系统的量子主方程来描述与热库接触的热力学过程中的热传递电流，而不使用唯象热传导。我们将内可逆性描述应用于工作在线性响应区域的此类发动机模型，并推导效率和功率的表达式。通过分析单个循环的熵产生率，我们确定了由线性关系连接的热力学通量和力。从最大功率输出最大化的角度，我们发现此类热机满足紧密耦合条件，最大功率下的效率与线性响应区域中作为上限的柯曾 - 艾尔伯恩效率一致。
