Analysis of transport properties determined by Langevin dynamics using Green-Kubo formulae

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	Analysis of transport properties determined by Langevin dynamics using Green-Kubo formulae
	Zhang J(张俊); Zeng DD; Fan J(樊菁)
刊名	PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
	2014-10-01
通讯作者邮箱	zhangjun04@imech.ac.cn
卷号	411 页码:104-112
关键词	DSMC Langevin dynamics Green-Kubo formulae Transport coefficients
ISSN号	0378-4371
通讯作者	Zhang, J (reprint author), Chinese Acad Sci, Inst Mech, State Key Lab High Temp Gas Dynam, Beijing 100190, Peoples R China.
产权排序	[Zhang, Jun; Zeng, Dandan; Fan, Jing] Chinese Acad Sci, Inst Mech, State Key Lab High Temp Gas Dynam, Beijing 100190, Peoples R China
合作状况	国内
中文摘要	Recently, the Langevin dynamics method has been applied to simulate gas flows. It is very crucial to evaluate whether the Langevin dynamics could correctly predict transport properties of gas or not. In this paper, the transport properties of Langevin velocity model and acceleration model are analyzed by using Green-Kubo formulae. For the Langevin velocity model, the time correlation functions have the exact exponent forms, and the Prandtl number for monatomic gas is predicted to be 3/2. For the Langevin acceleration model with an additional time scale, the molecular movements change from Markovian process to Non-Markovian process, and the Prandtl number could be adjusted to some extent. In the limit of equilibrium, there is a minimum about 1.298 for the Prandtl number of monatomic gas when the two time scales are equal in Langevin acceleration model. Besides theoretical analyses, molecular simulations according to the Langevin velocity model and acceleration model are performed, and the simulation results validate our analytical solutions. (C) 2014 Elsevier B.V. All rights reserved.
学科主题	Physics
分类号	二类/Q2
收录类别	SCI ; EI
资助信息	This work was supported by the National Natural Science Foundation of China (Grant Nos. 11002147 and 11372325).
原文出处	http://dx.doi.org/10.1016/j.physa.2014.06.012
语种	英语
WOS记录号	WOS:000340330300012
公开日期	2014-09-28
内容类型	期刊论文
源URL	[http://dspace.imech.ac.cn/handle/311007/49098]
专题	力学研究所_高温气体动力学国家重点实验室
推荐引用方式 GB/T 7714	Zhang J,Zeng DD,Fan J. Analysis of transport properties determined by Langevin dynamics using Green-Kubo formulae[J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS,2014,411:104-112.
APA	Zhang J,Zeng DD,&Fan J.(2014).Analysis of transport properties determined by Langevin dynamics using Green-Kubo formulae.PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS,411,104-112.
MLA	Zhang J,et al."Analysis of transport properties determined by Langevin dynamics using Green-Kubo formulae".PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS 411(2014):104-112.