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Pattern formation in diffusion-limited crystal growth /
This book reviews the current state of the theory of pattern formation by a liquid-solid interface during crystal growth. It gives a pedagogical introduction to the subject, including experimental results, mathematical modeling and linear stability analysis. After highlighting the success of the the...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Singapore ; River Edge, NJ :
World Scientific,
©1996.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- 1. Introduction
- 2. Experiments and growth mechanisms. 2.1. Free versus directional growth. 2.2. Growth mechanisms
- 3. Semimicroscopic growth models. 3.1. Diffusion-limited aggregation. 3.2. Particle models for crystal growth
- 4. Macroscopic continuum models. 4.1. Defining equations. 4.2. Boundary integral equation. 4.3. Characteristic solutions and stability considerations
- 5. Numerical approach. 5.1. Discretization. 5.2. Dynamical code. 5.3. Stationary code
- 6. Selection problems. 6.1. Solvability theory. 6.2. Numerical evidence. 6.3. Experimental evidence and discussion
- 7. Analytic theory of morphology diagram
- 8. Lamellar eutectics. 8.1. The Jackson-Hunt theory. 8.2. Numerical results for axisymmetric growth
- comparison with the Jackson-Hunt theory. 8.3. Parity breaking. 8.4. Similarity equation. 8.5. Consequences of similarity
- scaling laws. 8.6. Anisotropy effects. 8.7. Coupling between phase dynamics and tilt angle
- 9. Liquid crystals. 9.1. Local description. 9.2. Characteristic solutions and stability considerations. 9.3. Small aspect ratio: transition to chaos. 9.4. Amplitude equations
- phase chaos. 9.5. Intermediate aspect ratios
- 10. Conclusions and outlook.