Turbulence and Diffusion

Scaling Versus Equations

  • Oleg G. Bakunin

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

Table of contents

  1. Front Matter
    Pages I-XV
  2. Turbulent Diffusion Concepts

    1. Front Matter
      Pages 1-1
    2. Oleg G. Bakunin
      Pages 3-19
    3. Oleg G. Bakunin
      Pages 21-39
    4. Oleg G. Bakunin
      Pages 41-53
  3. Correlation Effects and Scalings

    1. Front Matter
      Pages 55-55
    2. Oleg G. Bakunin
      Pages 57-69
    3. Oleg G. Bakunin
      Pages 87-99
    4. Oleg G. Bakunin
      Pages 101-116
    5. Oleg G. Bakunin
      Pages 117-130
    6. Oleg G. Bakunin
      Pages 131-144
  4. Fractals and Percolation Transport

    1. Front Matter
      Pages 145-145
    2. Oleg G. Bakunin
      Pages 147-167
    3. Oleg G. Bakunin
      Pages 169-192
    4. Oleg G. Bakunin
      Pages 193-209
  5. Trapping and the Escape Probability Formalism

    1. Front Matter
      Pages 211-211
    2. Oleg G. Bakunin
      Pages 213-222
    3. Oleg G. Bakunin
      Pages 243-254
  6. Back Matter
    Pages 255-265

About this book


This book is an introduction to the multidisciplinary field of anomalous diffusion in complex systems, with emphasis on the scaling approach as opposed to techniques based on the quantitative analysis of underlying transport equations. Typical examples of such systems are turbulent plasmas, convective rolls, zonal flow systems and stochastic magnetic fields.

From the more methodological point of view, the approach relies on the general use of correlations estimates, quasilinear equations and continuous time random walk techniques. Yet, the mathematical descriptions are not meant to become a fixed set of recipes but rather develop and strengthen the reader's physical intuition and understanding on the underlying mechanisms involved.

Most of the material stems from class-tested lectures, where graduate students where assumed to have a working knowledge of classical physics, fluid dynamics and plasma physics but otherwise no prior knowledge of the subject matter is assumed from the side of the reader.


Diffusion Plasma fluid dynamics scaling laws transport equations turbulence

Authors and affiliations

  • Oleg G. Bakunin
    • 1
  1. 1.Kurchatov Institute Nuclear Fusion InstituteRussia

Bibliographic information