Application of the Onsager-Machlup integral in solving dynamic equations in nonequilibrium systems
文献类型：期刊论文
| 作者 | Doi, Masao1; Zhou, Jiajia1; Di, Yana2 ; Xu, Xianmin2
|
| 刊名 | PHYSICAL REVIEW E
 |
| 出版日期 | 2019-06-10 |
| 卷号 | 99期号:6页码:11 |
| ISSN号 | 2470-0045 |
| DOI | 10.1103/PhysRevE.99.063303 |
| 英文摘要 | In 1931, Onsager proposed a variational principle which has become the base of many kinetic equations for nonequilibrium systems. We have been showing that this principle is useful in obtaining approximate solutions for the kinetic equations, but our previous method has a weakness that it can be justified, strictly speaking, only for small incremental time. Here we propose an improved method which does not have this drawback. The improved method utilizes the integral proposed by Onsager and Machlup in 1953, and can tell us which of the approximate solutions is the best solution without knowing the exact solution. The improved method has an advantage that it allows us to determine the steady state in nonequilibrium system by a variational calculus. We demonstrate this using three examples, (a) simple diffusion problem, (b) capillary problem in a tube with corners, and (c) free boundary problem in liquid coating, for which the kinetic equations are written in second or fourth-order partial differential equations. |
| 资助项目 | National Natural Science Foundation of China (NSFC)[21504004] ; National Natural Science Foundation of China (NSFC)[21774004] ; Chinese Central Government in the Thousand Talents Program |
| WOS研究方向 | Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000470876400012 |
| 出版者 | AMER PHYSICAL SOC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/35045]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Doi, Masao |
| 作者单位 | 1.Beihang Univ, Ctr Soft Matter Phys & Its Applicat, 37 Xueyuan Rd, Beijing 100191, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Doi, Masao,Zhou, Jiajia,Di, Yana,et al. Application of the Onsager-Machlup integral in solving dynamic equations in nonequilibrium systems[J]. PHYSICAL REVIEW E,2019,99(6):11. |
| APA | Doi, Masao,Zhou, Jiajia,Di, Yana,&Xu, Xianmin.(2019).Application of the Onsager-Machlup integral in solving dynamic equations in nonequilibrium systems.PHYSICAL REVIEW E,99(6),11. |
| MLA | Doi, Masao,et al."Application of the Onsager-Machlup integral in solving dynamic equations in nonequilibrium systems".PHYSICAL REVIEW E 99.6(2019):11. |
入库方式： OAI收割
来源：数学与系统科学研究院
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