Fractals in Science

  • Armin Bunde
  • Shlomo Havlin

Table of contents

  1. Front Matter
    Pages I-XVI
  2. Armin Bunde, Shlomo Havlin
    Pages 1-26
  3. Per Bak, Michael Creutz
    Pages 27-48
  4. Sergey V. Buldyrev, Ary L. Goldberger, Shlomo Havlin, C.-K. Peng, H. Eugene Stanley
    Pages 49-88
  5. János Kertész, Tamás Vicsek
    Pages 89-118
  6. George H. Weiss
    Pages 119-162
  7. Mohamed Daoud
    Pages 163-196
  8. Sidney Redner, Francois Leyvraz
    Pages 197-228
  9. David Avnir, Ricardo Gutfraind, Dina Farin
    Pages 229-256
  10. Dennis C. Rapaport, Martin Meyer
    Pages 257-280
  11. Back Matter
    Pages 281-298

About this book

Introduction

Applying fractal geometry to science is bringing about a breakthrough in our understanding of complex systems in nature that show self-similar or self-affine features. Self-similar and self-affine processes appear everywhere in nature, in galaxies and landscapes, in earthquakes and geological cracks, in aggregates and colloids, in rough surfaces and interfaces, in glassy materials and polymers, in proteins as well as in other large molecules. Fractal structures appear also in the human body; well known examples include the lung and the vascular system. Furthermore, fractal geometry is an important tool in the analysis of phenomena as diverse as rhythms in music melodies and in the human heart­ beat and DNA sequences. Since the pioneering work of B.B. Mandelbrot, this interdisciplinary field has expanded very rapidly. The scientific community applying fractal concepts is very broad and ranges from astronomers, geoscientists, physicists, chemists and engineers to biologists and those engaging in medical research.

Keywords

Anwendungen Computer-Simulation Polymerphysik Selbstorganisation chemical physics chemistry complex systems computer simulation fractals geometry interfaces polymer physics simulation surface surface physics

Editors and affiliations

  • Armin Bunde
    • 1
  • Shlomo Havlin
    • 2
  1. 1.Institut für Theoretische PhysikUniversität GiessenGiessenGermany
  2. 2.Department of PhysicsBar-Ilan UniversityRamat GanIsrael

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-77953-4
  • Copyright Information Springer-Verlag Berlin Heidelberg 1994
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-77955-8
  • Online ISBN 978-3-642-77953-4
  • About this book