On the thermodynamics of the Swift–Hohenberg theory

Luis Espath, Adel Sarmiento, Lisandro Dalcin, V. M. Calo

Research output: Contribution to journalArticlepeer-review

6 Scopus citations


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.
Original languageEnglish (US)
Pages (from-to)1335-1345
Number of pages11
JournalContinuum Mechanics and Thermodynamics
Issue number6
StatePublished - Jun 10 2017


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