Hasselt University, B-3590 Diepenbeek, Belgium.
Institute of Physics of São Paulo University, Rua do Matão, 1371, 05508-090 São Paulo, SP, Brazil.
Phys Rev E. 2019 Aug;100(2-1):022141. doi: 10.1103/PhysRevE.100.022141.
We derive a linear thermodynamics theory for general Markov dynamics with both steady-state and time-periodic drivings. Expressions for thermodynamic quantities, such as chemical work, heat, and entropy production are obtained in terms of equilibrium probability distribution and the drivings. The entropy production is derived as a bilinear function of thermodynamic forces and the associated fluxes. We derive explicit formulae for the Onsager coefficients and use them to verify the Onsager-Casimir reciprocal relations. Our results are illustrated on a periodically driven quantum dot in contact with two electron reservoirs and optimization protocols are discussed.
我们推导出了一种适用于具有稳态和时变驱动的一般马尔可夫动力学的线性热力学理论。通过平衡概率分布和驱动力，得到了热力学量的表达式，如化学功、热量和熵产生。熵产生被推导为热力学力和相关通量的双线性函数。我们推导出了昂萨格系数的显式公式，并利用它们验证了昂萨格-卡西米尔互易关系。我们的结果在与两个电子库接触的周期性驱动量子点上进行了说明，并讨论了优化方案。
