Knowledge Management System of Institute of Theoretical Physics, CAS
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 Publication | COMMUNICATIONS IN THEORETICAL PHYSICS |
Language | 英语 |
Keyword | Construction Existence |
Abstract | 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. |
2011 | |
ISSN | 0253-6102 |
Volume | 55Issue:4Pages:602-604 |
Subject Area | Physics |
Indexed By | SCI |
Funding Organization | 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] ; National Basic Research Program of China (973 Program) [2007CB935903]; National Nature Science Foundation of China [11074259] |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://ir.itp.ac.cn/handle/311006/14383 |
Collection | SCI期刊论文 |
Corresponding Author | Mu, 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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