Geometry optimization for crystals in Thomas-Fermi type theories of solids

被引：9

作者：

Blanc, X ^{[1
]}

机构：

[1] Ecole Natl Ponts & Chaussees, CERMICS, F-77455 Champs Sur Marne, Marne La Vallee, France

来源：

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS | 2001年 / 26卷 / 3-4期

关键词：

Thomas-Fermi theory; variational methods; nonlinear PDEs; periodic; solid; elliptic PDEs; stability;

D O I：

10.1081/PDE-100001767

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study here the problem of geometry optimization for a crystal in the Thomas-Fermi-Von Weizsacker (TFW) solid-state setting, i.e., the problem of minimizing the TFW energy with respect to the periodic lattice defining the positions of the nuclei. We show the existence of such a minimum, and use for that purpose the TFW models of polymers and thin films defined in a previous work.

引用

页码：651 / 696

页数：46

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