A Discrete Convolution Model¶for Phase Transitions

被引：0

作者：

Peter W. Bates

Adam Chmaj

机构：

[1] Department of Mathematics¶Brigham Young University ¶ Provo UT 84602,

[2] e-mail: peter@math.byu.edu,undefined

[3] Department of Mathematics and Statistics¶Utah State University¶Logan¶UT 84322,undefined

[4] e-mail: chmaj@sunfs.math.usu.edu,undefined

来源：

Archive for Rational Mechanics and Analysis | 1999年 / 150卷

关键词：

Phase Transition; Free Energy; Convolution; Stationary Solution; Long Range;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We study a discrete convolution model for Ising-like phase transitions. This nonlocal model is derived as an l2-gradient flow for a Helmholtz free energy functional with general long range interactions. We construct traveling waves and stationary solutions, and study their uniqueness and stability. In particular, we find some criteria for “propagation” and “pinning”, and compare our results with those for a previously studied continuum convolution model.

引用

页码：281 / 368

页数：87