Landau fluid model for weakly nonlinear dispersive magnetohydrodynamics

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Plasma Magnetohydrodynamics, Plasma Nonlinear Waves, Plasma Alfven Waves, Magnetized Plasmas, Magnetohydrodynamics, Magnetohydrodynamic Waves, Nonlinear Phenomena: Waves, Wave Propagation, And Other Interactions, Magnetohydrodynamic And Fluid Equation

Scientific paper

A Landau fluid model for the large-scale dynamics of collisionless plasmas is presented. It extends the Hall-MHD description by retaining pressure anisotropy, Landau damping and leading finite Larmor radius (FLR) corrections. This approach that provides an accurate description of the weakly nonlinear dynamics of long-wavelength Alfvén waves is also succesfully compared with hybrid simulations of modulational and decay instabilities. The limitations of this model in situations where FLR corrections to all orders are to be retained, as for example in the presence of mirror modes, are analyzed and further developments to include such effects are discussed.

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