13-Moment System with Global Hyperbolicity for Quantum Gas

doi:10.1007/s10955-017-1768-0

	13-Moment System with Global Hyperbolicity for Quantum Gas
	Di, Yana1 ; Fan, Yuwei 2; Li, Ruo 3,4,5
	2017-06-01
发表期刊	JOURNAL OF STATISTICAL PHYSICS
ISSN	0022-4715
卷号	167 期号:5 页码:1280-1302
摘要	We point out that the quantum Grad's 13-moment system (Yano in Physica A 416:231-241, 2014) is lack of global hyperbolicity, and even worse, the thermodynamic equilibrium is not an interior point of the hyperbolicity region of the system. To remedy this problem, by fully considering Grad's expansion, we split the expansion into the equilibrium part and the non-equilibrium part, and propose a regularization for the system with the help of the new hyperbolic regularization theory developed in Cai et al. (SIAM J Appl Math 75(5):2001-2023, 2015) and Fan et al. (J Stat Phys 162(2):457-486, 2016). This provides us a new model which is hyperbolic for all admissible thermodynamic states, and meanwhile preserves the approximate accuracy of the original system. It should be noted that this procedure is not a trivial application of the hyperbolic regularization theory.
关键词	Quantum gas Quantum Boltzmann equation Grad's 13-moment system Global hyperbolicity Regularization
DOI	10.1007/s10955-017-1768-0
语种	英语
资助项目	National Natural Science Foundation of China[11271358] ; National Natural Science Foundation of China[91330205] ; National Natural Science Foundation of China[11421110001] ; National Natural Science Foundation of China[11421101] ; National Natural Science Foundation of China[11325102]
WOS研究方向	Physics
WOS类目	Physics, Mathematical
WOS记录号	WOS:000400892400010
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/25379
专题	计算数学与科学工程计算研究所
通讯作者	Fan, Yuwei
作者单位	1.Chinese Acad Sci, Inst Computat Math & Sci Engn Comp, LSEC, NCMIS,AMSS, Beijing, Peoples R China 2.Peking Univ, Sch Math Sci, Beijing, Peoples R China 3.Peking Univ, HEDPS, Beijing, Peoples R China 4.Peking Univ, CAPT, LMAM, Beijing, Peoples R China 5.Peking Univ, Sch Math Sci, Beijing, Peoples R China
推荐引用方式 GB/T 7714	Di, Yana,Fan, Yuwei,Li, Ruo. 13-Moment System with Global Hyperbolicity for Quantum Gas[J]. JOURNAL OF STATISTICAL PHYSICS,2017,167(5):1280-1302.
APA	Di, Yana,Fan, Yuwei,&Li, Ruo.(2017).13-Moment System with Global Hyperbolicity for Quantum Gas.JOURNAL OF STATISTICAL PHYSICS,167(5),1280-1302.
MLA	Di, Yana,et al."13-Moment System with Global Hyperbolicity for Quantum Gas".JOURNAL OF STATISTICAL PHYSICS 167.5(2017):1280-1302.