论文标题
普遍的黄金平均值和热机的效率
Generalized golden mean and the efficiency of thermal machines
论文作者
论文摘要
我们研究了两个热源库之间运行的通用热发动机和冰箱，因为当它们的效率彼此相等时。结果表明，效率的相应值作为广义黄金平均值$ ϕ_p $的倒数，其中参数$ p $取决于发动机和冰箱的不可逆性程度。可逆情况（$ p = 1 $）就标准黄金平均值而产生效率。我们还将分析扩展到三加热 - 归因设置。
We investigate generic heat engines and refrigerators operating between two heat reservoirs, for the condition when their efficiencies are equal to each other. It is shown that the corresponding value of efficiency is given as the inverse of the generalized golden mean, $ϕ_p$, where the parameter $p$ depends on the degree of irreversibility of both engine and refrigerator. The reversible case ($p=1$) yields the efficiency in terms of the standard golden mean. We also extend the analysis to a three-heat-resrervoir setup.
