| Turbulent Diffusion Concepts | |
| Introduction | p. 3 |
| Brownian Motion, Random Walks, and Correlation Scales | p. 3 |
| The Fick Transport Equation | p. 7 |
| Diffusion and the Characteristic Velocity Scale | p. 10 |
| Lagrangian Description of Turbulent Diffusion | p. 13 |
| Turbulent Diffusion and Scaling | p. 21 |
| Correlation Functions and Scaling | p. 21 |
| The Richardson Law and Anomalous Transport | p. 23 |
| The Kolmogorov Description of Turbulence | p. 26 |
| Relative Diffusion and Scalings | p. 32 |
| Cascade Phenomenology and Scalar Spectrum | p. 34 |
| Nonlocal Effects and Diffusion Equations | p. 41 |
| The Einstein Functional Equation | p. 41 |
| Nonlocality and Levy-Stable Distributions | p. 44 |
| Fractional Derivatives and Anomalous Diffusion | p. 47 |
| The Monin Nonlocal Equation | p. 51 |
| Correlation Effects and Scalings | |
| Diffusive Renormalization and Correlations | p. 57 |
| The Corrsin Independence Hypothesis | p. 57 |
| The Correlation Function and Anomalous Diffusion | p. 60 |
| Seed Diffusivity and Correlations | p. 62 |
| Effective Diffusivity and the Peclet Number | p. 64 |
| Diffusive Renormalization and the Correlation Function | p. 66 |
| Diffusion Equations and the Quasilinear Approximation | p. 71 |
| The Taylor Dispersion | p. 71 |
| Advection and Scalar Transport | p. 75 |
| Zeldovich Flow and the Kubo Number | p. 77 |
| Quasilinear Equations | p. 81 |
| Short-Range and Long-Range Correlations | p. 83 |
| The Telegraph Equation | p. 84 |
| Return Effects and Random Shear Flows | p. 87 |
| "Returns" and Correlations | p. 87 |
| Superdiffusion and Return Effects | p. 90 |
| Random Shear Flows and Stochastic Equations | p. 93 |
| The "Manhattan-Grid" Flow and Turbulent Transport | p. 95 |
| Turbulence of Magnetic Field Lines | p. 101 |
| Basic Equations of Plasma | p. 101 |
| Magnetic Field Evolution and Magnetic Reynolds Number | p. 104 |
| Magnetic Diffusivity and the Quasilinear Approach | p. 106 |
| Stochastic Magnetic Field and Transport Scalings | p. 110 |
| Diffusive Renormalization and a Braded Magnetic Field | p. 112 |
| Stochastic Instability and Turbulence | p. 117 |
| Stochastic Instability and Correlations | p. 117 |
| Quasilinear Scaling for the Stochastic Instability Increment | p. 119 |
| The Rechester-Rosenbluth Model | p. 122 |
| Collisional Effects and Transport | p. 124 |
| The Quasi-Isotropic Stochastic Magnetic Field | p. 127 |
| Anomalous Transport and Convective Cells | p. 131 |
| Convective Cells and Turbulent Diffusion | p. 131 |
| Complex Structures and the Statistical Topography | p. 135 |
| Fluctuation-Dissipative Relation and Turbulent Mixing | p. 136 |
| Bohm Scaling and Electric Field Fluctuations | p. 138 |
| Diffusive Renormalization and Correlations | p. 141 |
| Fractals and Percolation Transport | |
| Fractal and Percolation Concepts | p. 147 |
| Self-Similarity and the Fractal Dimension | p. 147 |
| Fractality and Anomalous Transport | p. 151 |
| Turbulence Scalings and Fractality | p. 153 |
| Percolation Transition and Correlations | p. 157 |
| Continuum Percolation and Transport | p. 160 |
| Finite Size Renormalization and Scaling | p. 163 |
| Percolation and Turbulent Transport | p. 169 |
| Random Steady Flows and Seed Diffusivity | p. 169 |
| Reorganization of Flow Topology and Percolation Scalings | p. 174 |
| Spatial and Temporal Hierarchy of Scales | p. 178 |
| Percolation in Drift Flows | p. 181 |
| Drift and Low-Frequency Regimes | p. 184 |
| Renormalization and the Stochastic Instability Increment | p. 187 |
| Stochastic Magnetic Field and Percolation | p. 189 |
| Multiscale Approach and Scalings | p. 193 |
| The Nested Hierarchy of Scales and Drift Effects | p. 193 |
| The Brownian Landscape and Percolation | p. 196 |
| Correlations and Transport Scalings | p. 199 |
| Diffusive Approximation and the Multiscale Model | p. 201 |
| Stochastic Instability and the Temporal Hierarchy of Scales | p. 203 |
| Isotropic and Anisotropic Magnetohydrodynamic Turbulence | p. 204 |
| Trapping and the Escape Probability Formalism | |
| Subdiffusion and Trapping | p. 213 |
| Diffusion in the Presence of Traps | p. 213 |
| Trapping and Strong Turbulence | p. 215 |
| Comb Structures and Transport | p. 218 |
| Double Diffusion and Return Effects | p. 220 |
| Continuous Time Random Walks and Transport Scalings | p. 223 |
| The Montroll and Weiss Approach and Memory Effects | p. 223 |
| Fractional Differential Equations | p. 226 |
| Correlation Function and Waiting Time Distribution | p. 228 |
| The Klafter Blumen and Shlesinger Approximation | p. 230 |
| Stochastic Magnetic Field and Balescu Approach | p. 233 |
| Longitudinal Correlations and the Diffusive Approximation | p. 235 |
| Vortex Structures and Trapping | p. 238 |
| Correlation and Phase-Space | p. 243 |
| Kinetics and the Diffusion Equation | p. 243 |
| Phase Space and Transport Scaling | p. 245 |
| The One-Flight Model and Anomalous Diffusion | p. 247 |
| Correlations and Nonlocal Velocity Distribution | p. 249 |
| The Corrsin Conjecture and Phase-Space | p. 252 |
| References | p. 255 |
| Index | p. 263 |
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