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. |
个性服务 |
查看访问统计 |
相关权益政策 |
暂无数据 |
收藏/分享 |
除非特别说明,本系统中所有内容都受版权保护,并保留所有权利。
修改评论