How to model surface diffusion using the phase-field approach
| dc.creator | Kassner, Klaus | |
| dc.date | 2006-07-31 | |
| dc.date.accessioned | 2026-07-07T07:16:14Z | |
| dc.date.available | 2026-07-07T07:16:14Z | |
| dc.description | It is demonstrated that the description of surface-diffusion controlled dynamics via the phase-field method is less trivial than it appears at first sight. A seemingly straightforward approach previously used in the literature is shown to fail to produce the correct asymptotics, albeit in a subtle manner. An apparently obvious alternative fails for a complementary reason. Finally, a model is constructed that asymptotically approaches known sharp-interface equations without adding undesired constraints. In order to provide a complete physical example, the model is exhibited for the elastically induced Grinfeld instability with material transport by surface diffusion. The whole analysis is carried out for three-dimensional systems to pave the way for simulations in 3D. | |
| dc.description | Submitted to "Multiscale Modeling and Simulation" | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0607823 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0607823 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/113519 | |
| dc.subject | Other Condensed Matter | |
| dc.title | How to model surface diffusion using the phase-field approach | |
| dc.type | text |