On the thermodynamics of the Swift–Hohenberg theory
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...
| Main Authors: | , , , |
|---|---|
| Format: | Journal Article |
| Published: |
2017
|
| Online Access: | http://hdl.handle.net/20.500.11937/54792 |
| _version_ | 1848759462382272512 |
|---|---|
| author | Espath, L. Sarmiento, A. Dalcin, L. Calo, Victor |
| author_facet | Espath, L. Sarmiento, A. Dalcin, L. Calo, Victor |
| author_sort | Espath, L. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T10:00:16Z |
| format | Journal Article |
| id | curtin-20.500.11937-54792 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T10:00:16Z |
| publishDate | 2017 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-547922018-06-13T07:30:25Z On the thermodynamics of the Swift–Hohenberg theory Espath, L. Sarmiento, A. Dalcin, L. Calo, Victor 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. 2017 Journal Article http://hdl.handle.net/20.500.11937/54792 10.1007/s00161-017-0581-y fulltext |
| spellingShingle | Espath, L. Sarmiento, A. Dalcin, L. Calo, Victor On the thermodynamics of the Swift–Hohenberg theory |
| title | On the thermodynamics of the Swift–Hohenberg theory |
| title_full | On the thermodynamics of the Swift–Hohenberg theory |
| title_fullStr | On the thermodynamics of the Swift–Hohenberg theory |
| title_full_unstemmed | On the thermodynamics of the Swift–Hohenberg theory |
| title_short | On the thermodynamics of the Swift–Hohenberg theory |
| title_sort | on the thermodynamics of the swift–hohenberg theory |
| url | http://hdl.handle.net/20.500.11937/54792 |