Chaotic Flows Correlation Effects, Transport, and Structures [Hardcover]

The book introduces readers to and summarizes the current ideas and theories about the basic mechanisms for transport in chaotic flows. Typically no single paradigmatic approach exists as this topic is relevant for fields as diverse as plasma physics, geophysical flows and various branches of engineering. Accordingly, the dispersion of matter in chaotic or turbulent flows is analyzed from different perspectives. Partly based on lecture courses given by the author, this book addresses both graduate students and researchers in search of a high-level but approachable and broad introduction to the topic.

The mechanisms of transport in chaotic flows relate to fields as diverse as plasma physics, geophysical flows and various branches of engineering, yet there is no agreed paradigmatic approach, so this volume analyzes the subject from a range of perspectives.

Part I Diffusion and Correlations.- Introduction.- Advection and Transport. the Langevin Equation and Transport.- Part II Lagrangian Description.- Lagrangian Description of Chaotic Flows.- Lagrangian Chaos.- Part III Phenomenological Models.- Correlation Effects and Transport Equations.- the Taylor Shear Dispersion.- Part IV Fractals and Anomalous Transport.- Fractal Objects and Scaling.- Random Shear Flows and Correlations.- Part V Structures and Nonlocal Effects.- Transport and Complex Structures.- Fractional Models of Anomalous Transport.- Part VI Isotropic Turbulence and Scaling.- Isotropic Turbulence and Spectra.- Turbulence and Scalar.- Relative Diffusion and Scaling.- Two Dimensional Turbulence and Transport.- Part VII Convection and Scaling.- Convection and the Rayleigh Number.- Convection and Turbulence.- Part VIII Structures and Complex Flow Topology.- Coherent Structures and Transport.- Flow Topology Reconstruction and Transport.- References.- Index.

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The main purpose is to provide a short review of the various ideas and theorló3