Fractals, scaling and growth far from equilibrium /
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| 主要作者: | |
|---|---|
| 格式: | 图书 |
| 语言: | English |
| 出版: |
Cambridge, U.K. ; New York :
Cambridge University Press,
1998.
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| 丛编: | Cambridge nonlinear science series ;
5 |
| 主题: | |
| 在线阅读: | Table of contents Publisher description |
书本目录:
- Ch. 1. Pattern Formation Far From Equilibrium. 1.1. Power Laws and Scaling. 1.2. The Logistic Map. 1.3. The Variety of Patterns in Nature. 1.4. Moving-Boundary Processes. 1.5. Solution of Interface Equations of Motion. 1.6. Complex and Disorderly Patterns. 1.7. Scaling Symmetry. 1.8. Notation. 1.9. Monte Carlo Methods
- Ch. 2. Fractals and Scaling. 2.1. Self-Similar Fractals. 2.2. Simple Rules. 2.3. Finite-Size Effects and Crossovers. 2.4. Power Law Distributions. 2.5. Scaling. 2.6. Fractal Trees and Inhomogeneous Fractals. 2.7. Self-Affine Fractals. 2.8. Multifractals. 2.9. Universality
- Ch. 3. Growth Models. 3.1. Cluster Growth and Cluster Surfaces. 3.2. Lattice Animals. 3.3. Random Walks. 3.4. Cluster Growth Models. 3.5. Percolation and Invasion Percolation. 3.6. Packing Models. 3.7. Growth Models Related to DLA. 3.8. Noise Reduction and Deterministic Models. 3.9. Models with Quenched Disorder. 3.10. Theoretical Methods
- Ch. 4. Experimental Studies. 4.1. DLA Processes.
- 4.2. Dense Branching Morphology. 4.3. Percolation. 4.4. Invasion Percolation. 4.5. Displacement in Complex Fluids. 4.6. Other 2-Dimensional Patterns
- Ch. 5. The Growth of Surfaces and Interfaces. 5.1. The Structure and Growth of Rough Surfaces. 5.2. Simple Models. 5.3. Theoretically Motivated Models. 5.4. Models with Quenched Disorder. 5.5. Experiments. 5.6. Thin Film Growth Models. 5.7. Oblique Incidence and Shadowing Models. 5.8. Cluster Shapes and Faceted Growth
- App. A. Instabilities
- App. B. Multifractals.