Akasaki Bruno A N, de Oliveira Mário J, Fiore C E
Universidade de São Paulo, Instituto de Física, Rua do Matão, 1371, 05508-090 São Paulo, SP, Brazil.
Phys Rev E. 2020 Jan;101(1-1):012132. doi: 10.1103/PhysRevE.101.012132.
Using stochastic thermodynamics, the properties of interacting linear chains subject to periodic drivings are investigated. The systems are described by Fokker-Planck-Kramers equation and exact solutions are obtained as functions of the modulation frequency and strength constants. Analysis will be carried out for short and long chains. In the former case, explicit expressions are derived for a chain of two particles, in which the entropy production is written down as a bilinear function of thermodynamic forces and fluxes, whose associated Onsager coefficients are evaluated for distinct kinds of periodic drivings. The limit of long chains is analyzed by means of a protocol in which the intermediate temperatures are self-consistently chosen and the entropy production is decomposed as a sum of two individual contributions, one coming from real baths (placed at extremities of lattice) and other from self-consistent baths. Whenever the former dominates for short chains, the latter contribution prevails for long ones. The thermal reservoirs lead to a heat flux according to Fourier's law.
利用随机热力学，研究了受周期性驱动的相互作用线性链的性质。这些系统由福克 - 普朗克 - 克拉默斯方程描述，并得到了作为调制频率和强度常数函数的精确解。将对短链和长链进行分析。在前一种情况下，推导出了两个粒子链的显式表达式，其中熵产生被写成热力学力和通量的双线性函数，并针对不同类型的周期性驱动评估了相关的昂萨格系数。通过一种方案分析长链的极限情况，其中自洽地选择中间温度，并且熵产生被分解为两个单独贡献的总和，一个来自实际热库（置于晶格两端），另一个来自自洽热库。对于短链，前者占主导，而对于长链，后者的贡献占优。热库根据傅里叶定律导致热通量。
