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

	Analysis of transport properties determined by Langevin dynamics using Green-Kubo formulae
	Zhang J(张俊); Zeng DD; Fan J(樊菁); Zhang, J (reprint author), Chinese Acad Sci, Inst Mech, State Key Lab High Temp Gas Dynam, Beijing 100190, Peoples R China.
发表期刊	PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
	2014-10-01
卷号	411 页码:104-112
ISSN	0378-4371
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.
关键词	Dsmc Langevin Dynamics Green-kubo Formulae Transport Coefficients
学科领域	Physics
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收录类别	SCI ; EI
语种	英语
WOS记录号	WOS:000340330300012
项目资助者	This work was supported by the National Natural Science Foundation of China (Grant Nos. 11002147 and 11372325).
课题组名称	LHD微尺度和非平衡流动
论文分区	二类/Q2
引用统计	被引频次：14[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://dspace.imech.ac.cn/handle/311007/49097
专题	高温气体动力学国家重点实验室
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.
推荐引用方式 GB/T 7714	Zhang J,Zeng DD,Fan J,et al. 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,&Zhang, 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.

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