Application of the Onsager-Machlup integral in solving dynamic equations in nonequilibrium systems

doi:10.1103/PhysRevE.99.063303

	Application of the Onsager-Machlup integral in solving dynamic equations in nonequilibrium systems
	Doi, Masao 1; Zhou, Jiajia 1; Di, Yana2 ; Xu, Xianmin2
	2019-06-10
发表期刊	PHYSICAL REVIEW E
ISSN	2470-0045
卷号	99 期号:6 页码:11
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.
DOI	10.1103/PhysRevE.99.063303
语种	英语
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
WOS类目	Physics, Fluids & Plasmas ; Physics, Mathematical
WOS记录号	WOS:000470876400012
出版者	AMER PHYSICAL SOC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/35046
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.