A simple model for phase transitions: From the discrete to the continuum problem

被引：23

作者：

Pagano, S

Paroni, R

机构：

[1] Univ Montpellier 2, UMR 5508, LMGC, F-24005 Montpellier, France

[2] Univ Udine, Dipartimento Ingn Civile, I-33100 Udine, Italy

来源：

QUARTERLY OF APPLIED MATHEMATICS | 2003年 / 61卷 / 01期

关键词：

phase transitions; discrete systems; double-well potentials; Gamma-convergence;

D O I：

10.1090/qam/1955225

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we study a one-dimensional model simulating the shear in a two-dimensional body. We analyse the discrete system and we deduce the continuum limit of the lattice model as the lattice parameter goes to zero. Different energies are introduced and linked together.

引用

页码：89 / 109

页数：21

共 22 条

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MAUGIN GA, 1999, OXFORD MATH MONOGRAP

[12] Simulated mesoscopic structures of a domain wall in a ferroelastic lattice [J].