Entropy Production along Dominant Pathway of Nonequilibrium Phase Transition in Mesoscopic Chemical System

作     者：Han-shuang Chen Gang He Feng Huang Chuan-sheng Shen 

作者机构：School of Physics and Materials Science Anhui University Hefei 230039 China . __ Department of Mathematics and Physics Anhui University of Architecture Hefei 230601 China Department of Physics Anqing Teachers College Anqing 246011 China 

出 版 物：《Chinese Journal of Chemical Physics》 (化学物理学报（英文）)

年 卷 期：2013年第26卷第5期

页      面：549-552,I0003页

核心收录：

学科分类：081702[工学-化学工艺] 0809[工学-电子科学与技术（可授工学、理学学位）] 08[工学] 0817[工学-化学工程与技术] 

基　　金：国家自然科学基金 "211 Project" of Anhui University the Educational Commission of Anhui Province of China the Key Scientific Research Fund of Anhui Provincial Education Department 

主　　题：Entropy production Mesoscopic chemical reaction Nonequilibrium phasetransition 

摘      要：We consider a bistable mesoscopic chemical reaction system and calculate entropy produc- tion along the dominant pathway during nonequilibrium phase transition. Using probability generating function method and eikonal approximation, we first convert the chemical master equation into the classical Hamilton-Jacobi equation, and then find the dominant pathways between two steady states in the phase space by calculating zero-energy trajectories. We find that entropy productions are related to the actions of the forward and backward dominant pathways. At the coexistence point where the stabilities of the two steady states are equiv alent, both the system entropy change and the medium entropy change are zero; whereas at non-coexistence point both of them are nonzero.