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Main Data
Author: Oleg G. Bakunin
Title: Turbulence and Diffusion Scaling Versus Equations
Publisher: Springer-Verlag
ISBN/ISSN: 9783540682226
Edition: 1
Price: CHF 86.20
Publication date: 01/01/2008
Content
Category: Mathematics
Language: English
Technical Data
Pages: 268
Kopierschutz: DRM
Geräte: PC/MAC/eReader/Tablet
Formate: PDF
Table of contents
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.
Table of contents
Preface7
General References 9
Diffusion Concept9
Correlations in Complex Systems9
Hydrodynamics and Turbulence9
Correlation Functions and Geophysical Turbulence10
Plasma Physics and Magnetohydrodynamic Turbulence10
Chaos and Mixing10
Fractals and Percolation11
The Fokker-Planck Equation and Kinetic Theory11
Contents12
Turbulent Diffusion Concepts15
Introduction16
1.1 Brownian Motion, Random Walks, and Correlation Scales16