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Fractals and Disordered Systems

  • Armin Bunde
  • Shlomo Havlin

Table of contents

  1. Front Matter
    Pages I-XIV
  2. Armin Bunde, Shlomo Havlin
    Pages 51-96
  3. Shlomo Havlin, Armin Bunde
    Pages 97-150
  4. Amnon Aharony
    Pages 151-174
  5. Hans J. Herrmann
    Pages 175-206
  6. Jean-François Gouyet, Michel Rosso, Bernard Sapoval
    Pages 229-262
  7. Jørgen K. Kjems
    Pages 263-296
  8. Dietrich Stauffer
    Pages 297-322
  9. Benoit B. Mandelbrot, Carl J. G. Evertsz
    Pages 323-344
  10. Back Matter
    Pages 345-350

About this book

Introduction

Fractals and disordered systems have recently become the focus of intense interest in research. This book discusses in great detail the effects of disorder on mesoscopic scales (fractures, aggregates, colloids, surfaces and interfaces, glasses, and polymers) and presents tools to describe them in mathematical language. A substantial part is devoted to the development of scaling theories based on fractal concepts. In 10 chapters written by leading experts in the field, including E. Stanley and B. Mandelbrot, the reader is introduced to basic concepts and techniques in disordered systems and is lead to the forefront of current research. In each chapter the connection between theory and experiment is emphasized, and a special chapter entitled "Fractals and Experiments" presents experimental studies of fractal systems in the laboratory. The book is written pedagogically. It can be used as a textbook for graduate students, by university teachers to prepare courses and seminars, and by active scientists who want to become familiar with a fascinating new field.

Keywords

Aggregate Aggregation Chaos (Math.) Chaostheorie Disorder Fraktur Grenzfläche Interfaces Percolation Skaling-Theorien Ungeordnetes System aggregates disordered systems fractal fractals fractures scaling theories

Editors and affiliations

  • Armin Bunde
    • 1
  • Shlomo Havlin
    • 2
  1. 1.I. Institut für Theoretische PhysikUniversität HamburgHamburg 36Germany
  2. 2.Department of PhysicsBar-Ilan UniversityRamat GanIsrael

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-51435-7
  • Copyright Information Springer-Verlag Berlin Heidelberg 1991
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-51437-1
  • Online ISBN 978-3-642-51435-7
  • Buy this book on publisher's site