Fractal Concepts in Condensed Matter Physics

  • Tsuneyoshi Nakayama
  • Kousuke Yakubo

Part of the Springer Series in Solid-State Sciences book series (SSSOL, volume 140)

Table of contents

  1. Front Matter
    Pages I-XIII
  2. Tsuneyoshi Nakayama, Kousuke Yakubo
    Pages 1-3
  3. Tsuneyoshi Nakayama, Kousuke Yakubo
    Pages 5-17
  4. Tsuneyoshi Nakayama, Kousuke Yakubo
    Pages 19-34
  5. Tsuneyoshi Nakayama, Kousuke Yakubo
    Pages 35-58
  6. Tsuneyoshi Nakayama, Kousuke Yakubo
    Pages 59-69
  7. Tsuneyoshi Nakayama, Kousuke Yakubo
    Pages 71-87
  8. Tsuneyoshi Nakayama, Kousuke Yakubo
    Pages 89-100
  9. Tsuneyoshi Nakayama, Kousuke Yakubo
    Pages 101-114
  10. Tsuneyoshi Nakayama, Kousuke Yakubo
    Pages 115-147
  11. Tsuneyoshi Nakayama, Kousuke Yakubo
    Pages 149-176
  12. Back Matter
    Pages 177-209

About this book

Introduction

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.

Keywords

Anomalous diffusion Disordered systems Dynamic scaling Fractal structures Localization of waves Phase Transition

Authors and affiliations

  • Tsuneyoshi Nakayama
    • 1
  • Kousuke Yakubo
    • 1
  1. 1.Department of Applied Physics, Graduate School of EngineeringHokkaido UniversitySapporoJapan

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-662-05193-1
  • Copyright Information Springer-Verlag Berlin Heidelberg 2003
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-05711-3
  • Online ISBN 978-3-662-05193-1
  • Series Print ISSN 0171-1873
  • About this book