UID:
almahu_9949199586702882
Format:
XIII, 210 p.
,
online resource.
Edition:
1st ed. 2003.
ISBN:
9783662051931
Series Statement:
Springer Series in Solid-State Sciences, 140
Content:
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. The main part of the book is dedicated to the dynamical behaviour of fractal structures, including anomalous and percolating systems. The concept of multifractals is illustrated for the metal-insulator quantum phase transition. The authors emphasizes the unified description of these different dynamic problems, thus making the book accessible to readers who are new to the field.
Note:
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.
In:
Springer Nature eBook
Additional Edition:
Printed edition: ISBN 9783642057113
Additional Edition:
Printed edition: ISBN 9783540050445
Additional Edition:
Printed edition: ISBN 9783662051948
Language:
English
DOI:
10.1007/978-3-662-05193-1
URL:
https://doi.org/10.1007/978-3-662-05193-1
