Physical Review Letters · 1985 · 421 citations · 23 references
Natural SciencesMaterials SciencePattern FormationAnisotropic MaterialsAnisotropy AnalysisBranching PatternsMagnetic AnisotropyMicrostructure EvolutionAnisotropic GrowthAnisotropic Interface EvolutionAnisotropic Pattern FormationAnisotropy Effects On Interface StabilityInterface Anisotropy
We impose anisotropy in modified Hele-Shaw experiments by engraving a grid on one of the plates. Without anisotropy, the dynamics is dominated by tip bifurcations leading to a branched ramified structure. With anisotropy, a dendritic pattern forms, in qualitative agreement with the prediction of recent studies of local growth models.
23
Instabilities and pattern formation in crystal growth
J. S. Langer · Reviews of Modern Physics · 1980 · 2.6K citations
Thomas A. Witten, Leonard M. Sander · Physical review. B, Condensed matter · 1983 · 1.9K citations