Turbulence and Diffusion
Scaling Versus Equations
Seiten
2008
|
2008
Springer Berlin (Verlag)
978-3-540-68221-9 (ISBN)
Springer Berlin (Verlag)
978-3-540-68221-9 (ISBN)
This book provides the first introduction to the multidisciplinary field of turbulent transport in complex systems. There is emphasis on the scaling approach as opposed to techniques based on the quantitative analysis of underlying transport equations.
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.
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.
Turbulent Diffusion Concepts.- Turbulent Diffusion and Scaling.- Nonlocal Effects and Diffusion Equations.- Correlation Effects and Scalings.- Diffusive Renormalization and Correlations.- Diffusion Equations and the Quasilinear Approximation.- Return Effects and Random Shear Flows.- Turbulence of Magnetic Field Lines.- Stochastic Instability and Turbulence.- Anomalous Transport and Convective Cells.- Fractals and Percolation Transport.- Fractal and Percolation Concepts.- Percolation and Turbulent Transport.- Multiscale Approach and Scalings.- Trapping and the Escape Probability Formalism.- Subdiffusion and Trapping.- Continuous Time Random Walks and Transport Scalings.- Correlation and Phase-Space.
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)| Erscheint lt. Verlag | 26.8.2008 |
|---|---|
| Reihe/Serie | Springer Series in Synergetics |
| Zusatzinfo | XVI, 268 p. 99 illus. |
| Verlagsort | Berlin |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Gewicht | 571 g |
| Themenwelt | Naturwissenschaften ► Physik / Astronomie ► Mechanik |
| Schlagworte | Diffusion • Fluid Dynamics • Plasma • Scaling laws • transport equations • Turbulence |
| ISBN-10 | 3-540-68221-X / 354068221X |
| ISBN-13 | 978-3-540-68221-9 / 9783540682219 |
| Zustand | Neuware |
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