Universal Trade-Off Relation between Power and Efficiency for Heat Engines
Universal Trade-Off Relation between Power and Efficiency for Heat Engines
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DOI：
10.1103/physrevlett.117.190601
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发表时间：
2016-10-31
影响因子：
8.6
通讯作者：
Tasaki, Hal
中科院分区：
文献类型：
--
作者：
Shiraishi, Naoto;Saito, Keiji;Tasaki, Hal
对于一个一般的热力学系统描述为马尔可夫过程，我们证明了一个一般的下界耗散的热流的平方，从而建立非零电流必然意味着耗散。这导致了一个普遍的效率和功率之间的权衡关系，我们严格证明了一个热机与非零功率永远不会达到卡诺效率。我们的理论适用于任意远离平衡的系统，并且不假设模型的任何特定对称性。
For a general thermodynamic system described as a Markov process, we prove a general lower bound for dissipation in terms of the square of the heat current, thus establishing that nonvanishing current inevitably implies dissipation. This leads to a universal trade-off relation between efficiency and power, with which we rigorously prove that a heat engine with nonvanishing power never attains the Carnot efficiency. Our theory applies to systems arbitrarily far from equilibrium, and does not assume any specific symmetry of the model.