Fractal Concepts in Condensed Matter Physics

Fractal Concepts in Condensed Matter Physics by Tsuneyoshi Nakayama, Kousuke Yakubo.

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 (Author), Yakubo, Kousuke (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2003.
Edition:1st ed. 2003.
Series:Springer Series in Solid-State Sciences, 140
Springer eBook Collection.
Subjects:
Phase transitions (Statistical physics).
Electronic resources (E-books)
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
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.

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