| Автор | Mu, Wei-Hua |
| Автор | Ou-Yang, Zhong-Can |
| Автор | Li, Xiao-Qing |
| Дата выпуска | 2011-04-15 |
| dc.description | 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. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Копирайт | 2011 Chinese Physical Society and IOP Publishing Ltd |
| Название | From Chemical Langevin Equations to Fokker—Planck Equation: Application of Hodge Decomposition and Klein—Kramers Equation |
| Тип | paper |
| DOI | 10.1088/0253-6102/55/4/15 |
| Electronic ISSN | 1572-9494 |
| Print ISSN | 0253-6102 |
| Журнал | Communications in Theoretical Physics |
| Том | 55 |
| Первая страница | 602 |
| Последняя страница | 604 |
| Аффилиация | Mu, Wei-Hua; Key Laboratory of Frontiers in Theoretical Physics and Kavli Institute for Theoretical Physics China, Institute of Theoretical Physics, The Chinese Academy of Sciences, P.O. Box 2735, Beijing 100190, China |
| Аффилиация | Ou-Yang, Zhong-Can; Key Laboratory of Frontiers in Theoretical Physics and Kavli Institute for Theoretical Physics China, Institute of Theoretical Physics, The Chinese Academy of Sciences, P.O. Box 2735, Beijing 100190, China; Center for Advanced Study, Tsinghua University, Beijing 100084, China |
| Аффилиация | Li, Xiao-Qing; Max Planck Institute of Molecular Biology, Systems Biology group, Am Mühlenberg 1, 14476 Potsdam-Golm, Germany |
| Выпуск | 4 |
