Fractal Concepts in Condensed Matter Physics
Concisely and clearly written, this book provides a self-contained introduction to the basic concepts of fractals and demonstrates their use in a range of topics in condensed matter physics and statistical mechanics. The first part outlines different fractal structures observed in condensed matter....
| Main Authors: | , |
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| Format: | eBook |
| Language: | English |
| Published: |
Berlin, Heidelberg
Springer Berlin Heidelberg
2003, 2003
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| Edition: | 1st ed. 2003 |
| Series: | Springer Series in Solid-State Sciences
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| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- 1. Introduction
- 2. Fractals
- 3. Percolating Networks as Random Fractals
- 4. Multifractals
- 5. Anomalous Diffusion on Fractal Networks
- 6. Atomic Vibrations of Percolating Networks
- 7. Scaling Arguments for Dynamic Structure Factors
- 8. Spin Waves in Diluted Heisenberg Antiferromagnets
- 9. Anderson Transition
- 10. Multifractals in the Anderson Transition
- Appendices
- A. Multifractality of the HRN Model
- B. Spectral Dimensions for Deterministic Fractals
- B.1 Sierpinski Gasket
- B.2 Mandelbrot-Given Fractal
- C. Diffusion and Dynamics on Networks
- C.1 Atomic Vibrations
- C.2 Spin Waves in Diluted Ferro- and Antiferromagnets
- C.3 Superconducting Networks
- D. Wigner Distributions
- References