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Turbulence and Diffusion

Scaling Versus Equations

  • Book
  • © 2008

Overview

  • This book is the first introduction to the multidisciplinary field of turbulent transport in complex systems.

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

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Table of contents (15 chapters)

  1. Turbulent Diffusion Concepts

  2. Correlation Effects and Scalings

  3. Fractals and Percolation Transport

  4. Trapping and the Escape Probability Formalism

Keywords

About this book

This book is intended to serve as an introduction to the multidisciplinary ?eld of anomalous diffusion in complex systems such as turbulent plasma, convective rolls, zonal ?ow systems, stochastic magnetic ?elds, etc. In spite of its great importance, turbulent transport has received comparatively little treatment in published mo- graphs. This book attempts a comprehensive description of the scaling approach to turbulent diffusion. From the methodological point of view, the book focuses on the general use of correlation estimates, quasilinear equations, and continuous time random walk - proach. I provide a detailed structure of some derivations when they may be useful for more general purposes. Correlation methods are ?exible tools to obtain tra- port scalings that give priority to the richness of ingredients in a physical pr- lem. The mathematical description developed here is not meant to provide a set of “recipes” for hydrodynamical turbulence or plasma turbulence; rather, it serves to develop the reader’s physical intuition and understanding of the correlation mec- nisms involved.

Reviews

From the reviews:

“The text is organized in four parts. … It provides a terse survey of the recent advances in the field of non-conventional approaches to turbulence modeling. The collection of topics in this book is very broad … . recommended for advanced undergraduate students and graduate students in theoretical physics and geophysical sciences. It can also be used by researcher who are interested in relatively new theoretical concepts, with a strong preference for the scaling and renormalization.” (Andrzej Icha, Pure and Applied Geophysics, Vol. 166, 2009)

Authors and Affiliations

  • Kurchatov Institute Nuclear Fusion Institute, Russia

    Oleg G. Bakunin

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