A MATHEMATICAL-MODEL OF DYNAMICS OF NONISOTHERMAL PHASE-SEPARATION

被引：79

作者：

ALT, HW

PAWLOW, I

机构：

[1] Inst. f. Angewandte Mathematik, Universität Bonn, W-5300 Bonn 1

来源：

PHYSICA D-NONLINEAR PHENOMENA | 1992年 / 59卷 / 04期

关键词：

D O I：

10.1016/0167-2789(92)90078-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A mathematical model of thermally activated phase separation in binary systems is proposed. The construction is based on the Landau-Ginzburg theory of phase transitions and non-equilibrium thermodynamics. The proposed system of differential equations represents an extension of the Cahn-Hilliard model to the non-isothermal situation. The model is shown to be consistent with the first principles of thermodynamics. The stability of stationary solutions is considered, and for the one-dimensional case numerical results are presented.

引用

页码：389 / 416

页数：28

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