Hierarchical structure of fluctuation theorems for a driven system in contact with multiple heat reservoirs.

Autor: Chen JF; School of Physics, Peking University, Beijing 100871, China., Quan HT; School of Physics, Peking University, Beijing 100871, China.; Collaborative Innovation Center of Quantum Matter, Beijing 100871, China.; Frontiers Science Center for Nano-optoelectronics, Peking University, Beijing 100871, China.
Jazyk: angličtina
Zdroj: Physical review. E [Phys Rev E] 2023 Feb; Vol. 107 (2-1), pp. 024135.
DOI: 10.1103/PhysRevE.107.024135
Abstrakt: For driven open systems in contact with multiple heat reservoirs, we find the marginal distributions of work or heat do not satisfy any fluctuation theorem, but only the joint distribution of work and heat satisfies a family of fluctuation theorems. A hierarchical structure of these fluctuation theorems is discovered from microreversibility of the dynamics by adopting a step-by-step coarse-graining procedure in both classical and quantum regimes. Thus, we put all fluctuation theorems concerning work and heat into a unified framework. We also propose a general method to calculate the joint statistics of work and heat in the situation of multiple heat reservoirs via the Feynman-Kac equation. For a classical Brownian particle in contact with multiple heat reservoirs, we verify the validity of the fluctuation theorems for the joint distribution of work and heat.
Databáze: MEDLINE