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	Stability and the continuum limit of the spin-polarized Thomas-Fermi-Dirac-von Weizsacker model
	E, Weinan ; Lu, Jianfeng
	2012
关键词	crystal structure initial value problems spin polarised transport Thomas-Fermi model CAUCHY-BORN RULE ELECTRONIC-STRUCTURE CRYSTALLINE SOLIDS MECHANICS VALIDITY
英文摘要	The continuum limit of the spin-polarized Thomas-Fermi-Dirac-von Weizsacker model in an external magnetic field is studied. An extension of the classical Cauchy-Born rule for crystal lattices is established for the electronic structure under sharp stability conditions on charge density and spin density waves. A Landau-Lifshitz type of micromagnetic energy functional is derived. (C) 2012 American Institute of Physics. [http://dx.doi.org/10.1063/1.4755952]; http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000311964100016&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701 ; Physics, Mathematical; SCI(E); 0; ARTICLE; 11; 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/20.500.11897/157512]
专题	数学科学学院
推荐引用方式 GB/T 7714	E, Weinan,Lu, Jianfeng. Stability and the continuum limit of the spin-polarized Thomas-Fermi-Dirac-von Weizsacker model. 2012-01-01.

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