Geometry optimization for Thomas-Fermi type theories for solids

被引：5

作者：

Blanc, X

Le Bris, C

机构：

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

[2] Ecole Normale Super, F-75230 Paris 05, France

来源：

COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE | 1999年 / 329卷 / 06期

关键词：

D O I：

10.1016/S0764-4442(00)80060-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study here the problem of geometry optimization for a crystal in the 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. One step of our work consists in derivating TFW-type models for polymers and thin films. (C) 1999 Academie des Sciences/Editions scientifiques et medicales Elsevier SAS.

引用

页码：551 / 556

页数：6