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Mu, WH; Ou-Yang, ZC; Li, XQ; Mu, WH (reprint author), Chinese Acad Sci, Key Lab Frontiers Theoret Phys, POB 2735, Beijing 100190, Peoples R China.
From Chemical Langevin Equations to Fokker-Planck Equation: Application of Hodge Decomposition and Klein-Kramers Equation
Source PublicationCOMMUNICATIONS IN THEORETICAL PHYSICS
Language英语
KeywordConstruction Existence
AbstractThe 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.
2011
ISSN0253-6102
Volume55Issue:4Pages:602-604
Subject AreaPhysics
Indexed BySCI
Funding OrganizationNational Basic Research Program of China (973 Program) [2007CB935903]; National Nature Science Foundation of China [11074259] ; National Basic Research Program of China (973 Program) [2007CB935903]; National Nature Science Foundation of China [11074259] ; National Basic Research Program of China (973 Program) [2007CB935903]; National Nature Science Foundation of China [11074259] ; National Basic Research Program of China (973 Program) [2007CB935903]; National Nature Science Foundation of China [11074259]
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Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/14383
Collection理论物理所科研产出_SCI论文
Corresponding AuthorMu, WH (reprint author), Chinese Acad Sci, Key Lab Frontiers Theoret Phys, POB 2735, Beijing 100190, Peoples R China.
Recommended Citation
GB/T 7714
Mu, WH,Ou-Yang, ZC,Li, XQ,et al. 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.
APA Mu, WH,Ou-Yang, ZC,Li, XQ,&Mu, WH .(2011).From Chemical Langevin Equations to Fokker-Planck Equation: Application of Hodge Decomposition and Klein-Kramers Equation.COMMUNICATIONS IN THEORETICAL PHYSICS,55(4),602-604.
MLA Mu, WH,et al."From Chemical Langevin Equations to Fokker-Planck Equation: Application of Hodge Decomposition and Klein-Kramers Equation".COMMUNICATIONS IN THEORETICAL PHYSICS 55.4(2011):602-604.
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