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 methodologicalpoint of view, the approach relies on the general use of correlations estimates, quasilinear equations and continous 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 understandingon 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. First introduction to the multidisciplinary field of turbulent transport in complex systems INDICE: Introduction.- Turbulent Diffusion and Scaling.- Non-Local Effectsand Diffusion Equations.- The Diffusive Renormalization and Correlations.- The Diffusion Equations and the Quasi-Linear Approximation.- Return Effects and Random Shear Flows.- Turbulence of Magnetic Field Lines.- Stochastic Instability and Turbulence.- Anomalous Transport and Convective Cells.- Fractal and Percolation Concepts.- percolation and Turbulent Transport.- Multiscale Approach and Scalings.- Subdiffiusion and Trapping.- Continuous Time Random Walks and Transport Scalings.- Correlation and Phase-Space.
- ISBN: 978-3-540-68221-9
- Editorial: Springer
- Encuadernacion: Cartoné
- Páginas: 424
- Fecha Publicación: 01/08/2008
- Nº Volúmenes: 1
- Idioma: Inglés