Recent examples of biological pattern formation where a pattern changes qualitatively as the underlying domain grows have given rise to renewed interest in the reaction-diffusion (Turing) model for pattern formation. Several authors have now reported studies showing that with the addition of domain
โฆ LIBER โฆ
Pattern formation in constrained dendritic growth with solutal buoyancy
โ Scribed by I. Steinbach
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 312 KB
- Volume
- 57
- Category
- Article
- ISSN
- 1359-6454
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โฆ Synopsis
Competing self-organization between the solidification pattern and the convection pattern in a directional solidification environment is investigated theoretically and by phase-field simulations. Melt flow introduces a mode of transport with broken symmetry dependent on the direction of growth relative to the vector of gravity. A stable and an unstable regime can be distinguished. The interaction between spacing selection and convection leads to a new type of scaling that explains results from phase-field simulations and solidification experiments under enhanced gravity.
๐ SIMILAR VOLUMES
Pattern formation in reaction-diffusion
โ
E.J. Crampin; W.W. Hackborn; P.K. Maini
๐
Article
๐
2002
๐
Springer
๐
English
โ 714 KB