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	Quantum hydrodynamic model by moment closure of Wigner equation
	Cai, Zhenning ; Fan, Yuwei ; Li, Ruo ; Lu, Tiao ; Wang, Yanli
	2012
关键词	RESONANT-TUNNELING DIODE SIMULATION TRANSPORT REGULARIZATION DEVICE NUMBER
英文摘要	In this paper, we derive the quantum hydrodynamics models based on the moment closure of the Wigner equation. The moment expansion adopted is of the Grad type first proposed by Grad ["On the kinetic theory of rarefied gases," Commun. Pure Appl. Math. 2(4), 331-407 (1949)]. The Grad's moment method was originally developed for the Boltzmann equation. Recently, a regularization method for the Grad's moment system of the Boltzmann equation was proposed by Cai et al. [Commun. Pure Appl. Math. "Globally hyperbolic regularization of Grad's moment system" (in press)] to achieve the global hyperbolicity so that the local well-posedness of the moment system is attained. With the moment expansion of the Wigner function, the drift term in the Wigner equation has exactly the same moment representation as in the Boltzmann equation, thus the regularization applies. The moment expansion of the nonlocal Wigner potential term in the Wigner equation turns out to be a linear source term, which can only induce very mild growth of the solution. As a result, the local well-posedness of the regularized moment system for the Wigner equation remains as for the Boltzmann equation. (C) 2012 American Institute of Physics. [http://dx.doi.org/10.1063/1.4748971]; http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000311711000043&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701 ; Physics, Mathematical; SCI(E); 4; ARTICLE; 10; 53
语种	英语
出处	SCI
出版者	数学物理杂志
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/157513]
专题	数学科学学院
推荐引用方式 GB/T 7714	Cai, Zhenning,Fan, Yuwei,Li, Ruo,et al. Quantum hydrodynamic model by moment closure of Wigner equation. 2012-01-01.

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