An integrodifferential model for phase transitions: Stationary solutions in higher space dimensions

被引：162

作者：

Bates, PW ^{[1
]}

Chmaj, A ^{[1
]}

机构：

[1] Brigham Young Univ, Dept Math, Provo, UT 84602 USA

来源：

JOURNAL OF STATISTICAL PHYSICS | 1999年 / 95卷 / 5-6期

关键词：

nonlocal Allen-Cahn equation; long-range interaction; pinning;

D O I：

10.1023/A:1004514803625

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study the existence and stability of stationary solutions of an integrodifferential model for phase transitions, which is a gradient flow for a free energy functional with general nonlocal integrals penalizing spatial nonuniformity. As such, this model is a nonlocal extension of the Allen-Cahn equation, which incorporates long-range interactions. We find that the set of stationary solutions for this model is much larger than that of the Allen-Cahn equation.

引用

页码：1119 / 1139

页数：21

共 33 条

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