Turbulence and Diffusion [electronic resource] : Scaling Versus Equations /
Bakunin, Oleg G.author.
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.
Description based upon print version of record.
Includes bibliographical references and index.
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.
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.
Continuum physics.
Statistical physics.
Dynamical systems.
Atoms.
Physics.
Plasma (Ionized gases).
Geophysics.
Classical and Continuum Physics.
Complex Systems.
Atoms and Molecules in Strong Fields, Laser Matter Interaction.
Plasma Physics.
Geophysics/Geodesy.
Statistical Physics and Dynamical Systems.
Springer series in synergetics