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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.
List of contents
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.
Summary
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.
Additional text
From the reviews:
“The main purpose is to provide a short review of the various ideas and theories which are presently in use to investigate the basic mechanisms of transport phenomena in chaotic flows. … The book is a physics book and you can fruitfully read it even if you have only an advanced course of calculus.” (Guy Jumarie, Zentralblatt MATH, Vol. 1232, 2012)
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From the reviews:
"The main purpose is to provide a short review of the various ideas and theories which are presently in use to investigate the basic mechanisms of transport phenomena in chaotic flows. ... The book is a physics book and you can fruitfully read it even if you have only an advanced course of calculus." (Guy Jumarie, Zentralblatt MATH, Vol. 1232, 2012)
