Work relations with measurement and feedback control on nonuniform temperature systems
Work relations with measurement and feedback control on nonuniform temperature systems
复制标题
DOI：
10.1103/physreve.98.042138
复制
发表时间：
2018-10
影响因子：
2.4
通讯作者：
Hideyuki Miyahara;K. Aihara
中科院分区：
文献类型：
--
作者：
Hideyuki Miyahara;K. Aihara
在非平衡统计力学中，系统做功与其自由能在一定过程中的变化之间的关系是很重要的。特别是与测量和反馈控制的工作关系，因为它解决了关于麦克斯韦恶魔的悖论，所以引起了人们的极大关注。然而，大多数研究都假设他们的目标系统是孤立的或等温的。本文通过考虑一个非等温系统，推广了包含测量和反馈控制的Sagawa-Ueda-Jarzynski关系，并将其应用于一个实际的模型。此外，当温度分布为二次型时，我们看到该系统受Tsallis统计力学的支配。此外，我们还证明了我们的公式提供了信息热力学第二定律的推广版本和一组等温体系的功关系。
The relation between the work performed to a system and the change of its free energy during a certain process is important in nonequilibrium statistical mechanics. In particular, the work relation with measurement and feedback control has attracted much attention, because it resolved the paradox concerning Maxwell's demon. Most studies, however, assume that their target systems are isolated or isothermal. In this paper, by considering a nonisothermal system, we generalize the Sagawa-Ueda-Jarzynski relation, which involves measurement and feedback control, and apply it to a realistic model. Furthermore, when the temperature profile is quadratic, we see that the system is governed by Tsallis statistical mechanics. In addition, we show that our formulation provides the generalized version of the second law of information thermodynamics and a set of work relations for isothermal systems.