The gyro-water-bag model for the study of instabilities in magnetized plasmas

The study of microinstabilities that arises in magnetized plasmas demands a kinetic description based on the Vlasov equation. Kinetic models being very demanding in computer resources, an alternative approach lies in a systematic use of invariances properties in the studied systems, such as the invariance of the distribution function along the particle trajectories or the first magnetic moment invariance. In this framework, we make use of the water-bag model on a few problems: collisional drift-waves in magnetized plasma column, interchange instability, ion temperature gradient (ITG), and Rayleigh-Taylor instabilities in the core of tokamaks. The goal of these studies is to allow a better understanding of plasma turbulence and therefore contribute to the control of anomalous transport which degrades the confinement in the core of tokamaks. (author)