Skip to main content
SpringerLink
Log in

Fractal Concepts in Condensed Matter Physics

  • Book
  • © 2003

Overview

Authors:
  1. Tsuneyoshi Nakayama

    1. Department of Applied Physics, Graduate School of Engineering, Hokkaido University, Sapporo, Japan

    View author publications

    You can also search for this author in PubMed   Google Scholar

  2. Kousuke Yakubo

    1. Department of Applied Physics, Graduate School of Engineering, Hokkaido University, Sapporo, Japan

    View author publications

    You can also search for this author in PubMed   Google Scholar

  • Self-contained introduction to the concept of fractals in condensed-matter systems
  • Suited to newcomers to the field
  • Includes supplementary material: sn.pub/extras

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

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (10 chapters)

  1. Front Matter

    Pages I-XIII
    Download chapter PDF

  2. Introduction

    • Tsuneyoshi Nakayama, Kousuke Yakubo
    Pages 1-3

  3. Fractals

    • Tsuneyoshi Nakayama, Kousuke Yakubo
    Pages 5-17

  4. Percolating Networks as Random Fractals

    • Tsuneyoshi Nakayama, Kousuke Yakubo
    Pages 19-34

  5. Multifractals

    • Tsuneyoshi Nakayama, Kousuke Yakubo
    Pages 35-58

  6. Anomalous Diffusion on Fractal Networks

    • Tsuneyoshi Nakayama, Kousuke Yakubo
    Pages 59-69

  7. Atomic Vibrations of Percolating Networks

    • Tsuneyoshi Nakayama, Kousuke Yakubo
    Pages 71-87

  8. Scaling Arguments for Dynamic Structure Factors

    • Tsuneyoshi Nakayama, Kousuke Yakubo
    Pages 89-100

  9. Spin Waves in Diluted Heisenberg Antiferromagnets

    • Tsuneyoshi Nakayama, Kousuke Yakubo
    Pages 101-114

  10. Anderson Transition

    • Tsuneyoshi Nakayama, Kousuke Yakubo
    Pages 115-147

  11. Multifractals in the Anderson Transition

    • Tsuneyoshi Nakayama, Kousuke Yakubo
    Pages 149-176

  12. Back Matter

    Pages 177-209
    Download chapter PDF
Back to top

Keywords

About this book

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 emphasize the unified description of these different dynamic problems, thus making the book accessible to readers who are new to the field.

Reviews

From the reviews:

"The book provides a complete view of the fractals structures in condensed matter. Each chapter has got clear and advanced theory about the subject, gives many applications on various domains and … gives numerical simulation and experiment process. … This book could be used by those who want very advanced introduction on fractal theory and the others who research a performant work tool on the subject." (Olivier Vanoverschelde, Physicalia, Vol. 57 (3), 2005)

"The presentation is pedagogical and it starts off from elementary considerations. … To my mind the most exciting feature of the book is the treatment of the so-called Anderson transition. … I find this book both timely and inspiring. It is well written, its arguments are clearly presented and it covers areas of physics where significant progress has taken place over the last decades. I can recommend it both to students of condensed matter and experienced researchers who want an orientation in this timely area." (Professor S. Stenholm, Contemporary Physics, Vol. 45 (4), 2004)

Authors and Affiliations

  • Department of Applied Physics, Graduate School of Engineering, Hokkaido University, Sapporo, Japan

    Tsuneyoshi Nakayama, Kousuke Yakubo

Bibliographic Information

  • Book Title: Fractal Concepts in Condensed Matter Physics

  • Authors: Tsuneyoshi Nakayama, Kousuke Yakubo

  • Series Title: Springer Series in Solid-State Sciences

  • DOI: https://doi.org/10.1007/978-3-662-05193-1

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 2003

  • Hardcover ISBN: 978-3-540-05044-5Published: 11 July 2003

  • Softcover ISBN: 978-3-642-05711-3Published: 01 December 2010

  • eBook ISBN: 978-3-662-05193-1Published: 29 June 2013

  • Series ISSN: 0171-1873

  • Series E-ISSN: 2197-4179

  • Edition Number: 1

  • Number of Pages: XIII, 210

  • Topics: Phase Transitions and Multiphase Systems

Publish with us

Policies and ethics

Back to top

Search

Navigation