From Chemical Langevin Equations to Fokker-Planck Equation: Application of Hodge Decomposition and Klein-Kramers Equation

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	From Chemical Langevin Equations to Fokker-Planck Equation: Application of Hodge Decomposition and Klein-Kramers Equation
	Ou-Yang, ZC
刊名	COMMUNICATIONS IN THEORETICAL PHYSICS
	2011
卷号	55 期号:4 页码:602-604
关键词	CONSTRUCTION EXISTENCE
ISSN号	0253-6102
通讯作者	Mu, WH (reprint author), Chinese Acad Sci, Key Lab Frontiers Theoret Phys, POB 2735, Beijing 100190, 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.
学科主题	Physics
收录类别	SCI
资助信息	National Basic Research Program of China (973 Program) [2007CB935903]; National Nature Science Foundation of China [11074259]
原文出处	http://dx.doi.org/10.1088/0253-6102/55/4/15
语种	英语
WOS记录号	WOS:000289985300015
公开日期	2013-05-17
内容类型	期刊论文
源URL	[http://ir.itp.ac.cn/handle/311006/14383]
专题	理论物理研究所_理论物理所1978-2010年知识产出
推荐引用方式 GB/T 7714	Ou-Yang, ZC. 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	Ou-Yang, ZC.(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	Ou-Yang, ZC."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.