Hierarchical Onsager symmetries in adiabatically driven linear irreversible heat engines
Hierarchical Onsager symmetries in adiabatically driven linear irreversible heat engines
复制标题
绝热驱动线性不可逆热机中的分层 Onsager 对称性
DOI：
10.1103/physreve.103.l050101
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发表时间：
2021
影响因子：
2.4
通讯作者：
Izumida Yuki
中科院分区：
文献类型：
--
作者：
Mochizuki Ken;Kawakami Norio;Obuse Hideaki;Izumida Yuki
在现有的线性响应理论的气动驱动的循环热机，Onsager对称性被确定只有现象，和全局和局部Onsager系数之间的关系，定义在一个周期，并在任何时刻的一个周期，分别没有得出。为了解决这个问题，我们开发了一个线性响应理论的速度的几何变化的参数和温度差的一般高斯热机服从福克-普朗克动力学。我们建立了一个层次之间的关系的全局线性响应关系，定义在一个周期的热机，和本地的，定义在任何时刻的周期。这就产生了一个详细的表达式的全球Onsager系数的局部Onsager系数。此外，我们推导出一个效率界，这是严格的卡诺界，热驱动的线性不可逆热机的基础上详细的全球Onsager系数。最后，我们使用最简单的随机布朗热机模型演示了该理论的应用。
In existing linear response theories for adiabatically driven cyclic heat engines, Onsager symmetry is identified only phenomenologically, and a relation between global and local Onsager coefficients, defined over one cycle and at any instant of a cycle, respectively, is not derived. To address this limitation, we develop a linear response theory for the speed of adiabatically changing parameters and temperature differences in generic Gaussian heat engines obeying Fokker-Planck dynamics. We establish a hierarchical relationship between the global linear response relations, defined over one cycle of the heat engines, and the local ones, defined at any instant of the cycle. This yields a detailed expression for the global Onsager coefficients in terms of the local Onsager coefficients. Moreover, we derive an efficiency bound, which is tighter than the Carnot bound, for adiabatically driven linear irreversible heat engines based on the detailed global Onsager coefficients. Finally, we demonstrate the application of the theory using the simplest stochastic Brownian heat engine model.