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....

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Bibliographic Details
Main Authors: Nakayama, Tsuneyoshi, Yakubo, Kousuke (Author)
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 2003, 2003
Edition:1st ed. 2003
Series:Springer Series in Solid-State Sciences
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
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245 0 0 |a Fractal Concepts in Condensed Matter Physics  |h Elektronische Ressource  |c by Tsuneyoshi Nakayama, Kousuke Yakubo 
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300 |a XIII, 210 p  |b online resource 
505 0 |a 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 
653 |a Phase Transitions and Multiphase Systems 
653 |a Condensed matter 
700 1 |a Yakubo, Kousuke  |e [author] 
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520 |a 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