Mullins–Sekerka instability
E647521
The Mullins–Sekerka instability is a morphological instability that occurs during diffusion-limited solidification or crystal growth, leading to pattern formation such as dendrites at moving phase boundaries.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Mullins–Sekerka instability canonical | 1 |
Statements (47)
| Predicate | Object |
|---|---|
| instanceOf |
interfacial instability
ⓘ
morphological instability ⓘ physical phenomenon ⓘ |
| appliesTo |
alloy solidification
ⓘ
directional solidification experiments ⓘ ice crystal growth ⓘ metal solidification ⓘ semiconductor crystal growth ⓘ |
| basedOn |
diffusion field perturbations
ⓘ
solute diffusion ⓘ thermal diffusion ⓘ |
| cause |
breakdown of planar solidification front
ⓘ
cellular interface patterns ⓘ dendritic growth ⓘ interface roughening ⓘ pattern formation ⓘ |
| dependsOn |
diffusion coefficient
ⓘ
growth velocity ⓘ interface curvature ⓘ partition coefficient ⓘ surface tension ⓘ undercooling ⓘ |
| describedBy |
Gibbs–Thomson condition
NERFINISHED
ⓘ
Stefan condition NERFINISHED ⓘ diffusion equation ⓘ linear stability analysis ⓘ |
| field |
condensed matter physics
ⓘ
crystal growth ⓘ materials science ⓘ solidification theory ⓘ |
| hasConsequence |
formation of dendrite tips
ⓘ
microstructural pattern selection ⓘ selection of characteristic length scales ⓘ |
| namedAfter |
Robert F. Sekerka
NERFINISHED
ⓘ
William W. Mullins NERFINISHED ⓘ |
| occursAt |
moving phase boundary
ⓘ
solidification front ⓘ solid–liquid interface ⓘ |
| occursInProcess |
alloy solidification
ⓘ
crystal growth ⓘ diffusion-limited solidification ⓘ directional solidification ⓘ |
| relatedTo |
cellular solidification
ⓘ
constitutional supercooling ⓘ dendritic solidification ⓘ morphological stability criterion ⓘ pattern formation in nonequilibrium systems ⓘ |
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.