Chaotic Flows: Correlation Effects, Transport, and Structures
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.
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¼ const ¼ ð advection anomalous diffusion anomalous transport approximation Batchelor boundary layer Brownian motion Cambridge University Press cascade CðtÞ Chaos chaotic flows cluster consider convective correlation effects correlation function correlation scale Deff describe differential equation diffusion coefficient diffusion equation dimensional dispersion distribution function dt ¼ ðtÞ Dynamics effective diffusion energy enstrophy estimate Eulerian expression fluctuations Fluid Mech flux formula Fourier fractal given Hamiltonian Hurst exponent Kolmogorov Lagrangian longitudinal molecular diffusion Nonlinear O.G. Bakunin obtain parameter Peclet number Percolation Theory percolation threshold perturbation Phys Physics Plasma Plasma Physics problem quasilinear random flow random shear flows random walk Rayleigh number regime relation renormalization representation Reynolds number scalar scalar particles Schematic self-similar separatrix shear flows solution spatial scale spectrum Statistical stochastic layer stream function streamline Taylor temperature theory tracer trajectory turbulent diffusion turbulent flow turbulent transport two-dimensional velocity field viscous vortices wave number