Skip to main content
  • Textbook
  • © 2000

Critical Phenomena in Natural Sciences

Chaos, Fractals, Selforganization and Disorder: Concepts and Tools

Authors:

  • This is the first textbook on the subject written for a nonspecialist readership

Part of the book series: Springer Series in Synergetics (SSSYN)

Buy it now

Buying options

eBook USD 74.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Other ways to access

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

Table of contents (17 chapters)

  1. Front Matter

    Pages I-XVII
  2. Useful Notions of Probability Theory

    • Didier Sornette
    Pages 1-22
  3. Large Deviations

    • Didier Sornette
    Pages 47-77
  4. Power Law Distributions

    • Didier Sornette
    Pages 79-101
  5. Fractals and Multifractals

    • Didier Sornette
    Pages 103-135
  6. Rank-Ordering Statistics and Heavy Tails

    • Didier Sornette
    Pages 137-162
  7. Long-Range Correlations

    • Didier Sornette
    Pages 183-198
  8. Transitions, Bifurcations and Precursors

    • Didier Sornette
    Pages 213-224
  9. The Renormalization Group

    • Didier Sornette
    Pages 225-237
  10. The Percolation Model

    • Didier Sornette
    Pages 239-256
  11. Rupture Models

    • Didier Sornette
    Pages 257-284
  12. Mechanisms for Power Laws

    • Didier Sornette
    Pages 285-320
  13. Self-Organized Criticality

    • Didier Sornette
    Pages 321-360
  14. Introduction to the Physics of Random Systems

    • Didier Sornette
    Pages 361-374
  15. Randomness and Long-Range Laplacian Interactions

    • Didier Sornette
    Pages 375-392
  16. Back Matter

    Pages 393-434

About this book

Concepts, methods and techniques of statistical physics in the study of correlated, as well as uncorrelated, phenomena are being applied ever increasingly in the natural sciences, biology and economics in an attempt to understand and model the large variability and risks of phenomena. This is the first textbook written by a well-known expert that provides a modern up-to-date introduction for workers outside statistical physics. The emphasis of the book is on a clear understanding of concepts and methods, while it also provides the tools that can be of immediate use in applications. Although this book evolved out of a course for graduate students, it will be of great interest to researchers and engineers, as well as to post-docs in geophysics and meteorology.

Reviews

"This is a magnificent book. Most of the examples given are taken from geosciences, although possible applications of the theory presented are promised for other fields. The contribution of statistical mechanics to modern physics has been enormous, and the text fully reflects this importance. The scope is vast, [...] a brilliant bird’s eye view of natural sciences. [...] This splendid book will find a readership among graduate students, researchers and engineers. It inspires ideas and provides means to play with them. Some of the extraordinarily efficient methods presented lead quickly to very practical results." (Pure and Applied Geophysics, 160, 2003)

"This is an excellent book, a timely and vital contribution written with a great clarity of style ..." (The Physicist, 2001)

Authors and Affiliations

  • Institute of Geophysics and Planetary Physics and Department of Earth and Space Sciences, 3845 Slichter Hall, University of California, Los Angeles, USA

    Didier Sornette

  • Laboratoire de Physique de la Matière Condensée, CNRS UMR6622, Faculté des Sciences, Université de Nice-Sophia Antipolis, Nice Cedex 2, France

    Didier Sornette

Bibliographic Information

Buy it now

Buying options

eBook USD 74.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Other ways to access