On the thermodynamics of the Swift-Hohenberg theory

被引：7

作者：

Espath, L. F. R. ^{[1
]}

Sarmiento, A. F. ^{[1
]}

Dalcin, L. ^{[2
]}

Calo, V. M. ^{[3
,4
]}

机构：

[1] King Abdullah Univ Sci & Technol, Comp Elect & Math Sci & Engn, Thuwal 239556900, Saudi Arabia

[2] King Abdullah Univ Sci & Technol, Extreme Comp Res Ctr, Thuwal 239556900, Saudi Arabia

[3] Curtin Univ, Western Australian Sch Mines, Appl Geol, Fac Sci & Engn, Perth, WA 6845, Australia

[4] CSIRO, Mineral Resources, Kensington, WA 6152, Australia

来源：

CONTINUUM MECHANICS AND THERMODYNAMICS | 2017年 / 29卷 / 06期

关键词：

Phase-field; Gradient theory; Thermodynamics of continua; Swift-Hohenberg theory; CAHN-HILLIARD EQUATIONS; ORDER-PARAMETER; NAVIER-STOKES; FIELD; TRANSITIONS; BALANCES; FLOW;

D O I：

10.1007/s00161-017-0581-y

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

We present the microbalance including the microforces, the first- and second-order microstresses for the Swift-Hohenberg equation concomitantly with their constitutive equations, which are consistent with the free-energy imbalance. We provide an explicit form for the microstress structure for a free-energy functional endowed with second-order spatial derivatives. Additionally, we generalize the Swift-Hohenberg theory via a proper constitutive process. Finally, we present one highly resolved three-dimensional numerical simulation to demonstrate the particular form of the resulting microstresses and their interactions in the evolution of the Swift-Hohenberg equation.

引用

页码：1335 / 1345

页数：11

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