Model of anomalous transport with backreacting localized perturbations

Mathematics

Scientific paper

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Diffusion Theory, Magnetohydrodynamic Flow, Perturbation Theory, Transport Theory, Kelvin-Helmholtz Instability, Magnetohydrodynamic Stability, Magnetohydrodynamic Turbulence, Mathematical Models, Vorticity

Scientific paper

Nonlinear elemental processes operating in systems affected by anomalous transport are studied here using a general model comprising localized structures coupled by two sets of variables: the transported quantity and a measure of the influence of each structure on the diffusion of the transported quantity. The evolution of this model using anomalous transport is studied in a turbulent magnetic plasma as an example. It is believed that this model could provide a basis for studying the behavior of a wide range of nonlinear systems.

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