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题名: From Chemical Langevin Equations to Fokker-Planck Equation: Application of Hodge Decomposition and Klein-Kramers Equation
作者: Mu, WH ;  Ou-Yang, ZC ;  Li, XQ
刊名: COMMUNICATIONS IN THEORETICAL PHYSICS
出版日期: 2011
卷号: 55, 期号:4, 页码:602-604
关键词: CONSTRUCTION ;  EXISTENCE
学科分类: Physics
通讯作者: Mu, WH (reprint author), Chinese Acad Sci, Key Lab Frontiers Theoret Phys, POB 2735, Beijing 100190, Peoples R China.
部门归属: [Mu Wei-Hua; Ou-Yang Zhong-Can] Chinese Acad Sci, Key Lab Frontiers Theoret Phys, Beijing 100190, Peoples R China; [Mu Wei-Hua; Ou-Yang Zhong-Can] Chinese Acad Sci, Kavli Inst Theoret Phys China, Inst Theoret Phys, Beijing 100190, Peoples R China; [Li Xiao-Qing] Max Planck Inst Mol Biol, Syst Biol Grp, D-14476 Potsdam, Germany; [Ou-Yang Zhong-Can] Tsinghua Univ, Ctr Adv Study, Beijing 100084, Peoples R China
英文摘要: The stochastic systems without detailed balance are common in various chemical reaction systems, such as metabolic network systems. In studies of these systems, the concept of potential landscape is useful. However, what are the sufficient and necessary conditions of the existence of the potential function is still an open problem. Use Hodge decomposition theorem in differential form theory, we focus on the general chemical Langevin equations, which reflect complex chemical reaction systems. We analysis the conditions for the existence of potential landscape of the systems. By mapping the stochastic differential equations to a Hamiltonian mechanical system, we obtain the Fokker-Planck equation of the chemical reaction systems. The obtained Fokker-Planck equation can be used in further studies of other steady properties of complex chemical reaction systems, such as their steady state entropies.
资助者: National Basic Research Program of China (973 Program) [2007CB935903]; National Nature Science Foundation of China [11074259]
收录类别: SCI
原文出处: 查看原文
语种: 英语
WOS记录号: WOS:000289985300015
Citation statistics: 
内容类型: 期刊论文
URI标识: http://ir.itp.ac.cn/handle/311006/14383
Appears in Collections:理论物理所2011年知识产出_期刊论文

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Recommended Citation:
Mu, WH,Ou-Yang, ZC,Li, XQ. From Chemical Langevin Equations to Fokker-Planck Equation: Application of Hodge Decomposition and Klein-Kramers Equation[J]. COMMUNICATIONS IN THEORETICAL PHYSICS,2011,55(4):602-604.
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