论文标题
在任意冷却能力下，低衰减冰箱的最大效率
Maximum efficiency of low-dissipation refrigerators at arbitrary cooling power
论文作者
论文摘要
我们分析得出Carnot型低静止冰箱的给定冷却能力的最大效率。相应的最佳循环持续时间取决于单个参数，该参数是不可逆性参数和浴室温度的特定组合。为了略微降低功率相对于其最大值的降低，最大效率表现出无限快速的非线性增加，这在热发动机中是标准的，仅在有限的参数范围内。否则，它仅随着不可逆性参数的比率给出的斜率而线性增加。这种行为可以追溯到以下事实：在热等温线的消失持续时间内获得了最大功率。由于完整解决方案的最高效率延长，我们使用对参数有效的简单近似值讨论并演示了这些结果，从而产生了两种不同的定性行为。我们还讨论了我们的发现与最小非线性不可逆冰箱获得的发现的关系。
We analytically derive maximum efficiency at given cooling power for Carnot-type low-dissipation refrigerators. The corresponding optimal cycle duration depends on a single parameter, which is a specific combination of irreversibility parameters and bath temperatures. For a slight decrease in power with respect to its maximum value, the maximum efficiency exhibits an infinitely-fast nonlinear increase, which is standard in heat engines, only for a limited range of parameters. Otherwise, it increases only linearly with the slope given by ratio of irreversibility parameters. This behavior can be traced to the fact that maximum power is attained for vanishing duration of the hot isotherm. Due to the lengthiness of the full solution for the maximum efficiency, we discuss and demonstrate these results using simple approximations valid for parameters yielding the two different qualitative behaviors. We also discuss relation of our findings to those obtained for minimally nonlinear irreversible refrigerators.
