Overview PDF
Diffusion by discontinuous movements; diffusion by continuous movements; diffusion and anomalous diffusion; stirring and mixing.
Eddy Diffusion PDF
Introduction; the renovating wave model; the eddy diffusion equation; ensemble averages and single realizations; variance budgets; calculation of the RW Green's function.
Random stretching PDF.
Overview; multiplicative random variables; material line elements and tracer gradients; two-dimensional incompressible flow; tree-dimensional incompressible flow.
Anomalous Diffusion PDF
Superdiffusion and subdiffusion; the telegraph model; age-stratified populations; the generalized telegraph model.
Diffusion in cellular flows PDF
Advection-diffusion by cellular flows; the fundamental problem; Peclet number expansions.
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