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Entropy Production along Dominant Pathway of Nonequilibrium Phase Transition in Mesoscopic Chemical System
Han-shuang Chen*,Gang He,Feng Huang,Chuan-sheng Shen
Author NameAffiliationE-mail
Han-shuang Chen* School of Physics and Materials Science, Anhui University, Hefei 230039, China hanshuangchen2001@126.com 
Gang He School of Physics and Materials Science, Anhui University, Hefei 230039, China  
Feng Huang Department of Mathematics and Physics, Anhui University of Architecture, Hefei 230601, China  
Chuan-sheng Shen Department of Physics, Anqing Teachers College, Anqing 246011, China  
Abstract:
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.
Key words:  Entropy production, Mesoscopic chemical reaction, Nonequilibrium phase transition
FundProject:
介观化学反应体系中非平衡相变最可几路径的熵产生
陈含爽*,何刚,黄凤,申传胜
摘要:
针对一个双稳的介观化学反应体系计算了在非平衡相变时最可几路径的熵产生. 利用概率产生函数和程函近似,将化学主方程转化为经典的哈密顿-雅可比方程并通过相空间的零能轨线找到双稳态之间转变的最可几路径. 通过计算前向和逆向最可几路径的熵产生,发现在共存点系统熵变和介质熵变都为零,而在非共存点系统熵变和介质熵变皆不为零.
关键词:  含熵产生,介观化学反应,非平衡相变
DOI:10.1063/1674-0068/26/05/549-552
分类号: