Exploring non-equilibrium statistical ensembles

作     者：BI Qiao & LIU Jie Department of Physics, School of Science, Wuhan University of Technology, Wuhan 430070, China 

作者机构：Department of Physics School of Science Wuhan University of Technology Wuhan China 

出 版 物：《Science Bulletin》 (科学通报(英文版))

年 卷 期：2011年第56卷第34期

页      面：3654-3660页

核心收录：

学科分类：07[理学] 070201[理学-理论物理] 0702[理学-物理学] 

基　　金：supported by the National Natural Science Foundation of China (60874087) 

主　　题：subdynamics statistical ensemble non-equilibrium statistical physics 

摘      要：Since Gibbs synthesized a general equilibrium statistical ensemble theory, generalizing the Gibbsian theory to non-equilibrium phenomena has been a dream for some theorists. However, the status of the theory for the non-equilibrium ensemble formalism is not as well established as the Gibbsian ensemble theory. In this work, we explore the formalism behind the non-equilibrium statistical ensemble theory based on the sub-dynamic kinetic equation originating from the Brussels-Austin school and developed further by others. The key is establishing a similarity transformation between Gibbsian ensembles and the sub-dynamic ensemble. Using this way, we study a spin-Boson model with strong coupling. A reduced density operator for the canonical ensemble can be easily obtained and the relevant decoherence-free property is revealed.