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Le modèle "water bag" appliqué aux équation cinétiques des plasmas de Tokamak

Abstract : A drift-kinetic model in cylindrical geometry has been used to study Ion Temperature Gradients (ITG). The cylindrical plasma is considered as a limit case of a stretched torus. The magnetic field is assumed uniform and constant; it is directed along the axis of the column. A discrete distribution function f taking the form of a multi-step like function is used in place of the continuous distribution function along the parallel velocity direction. With respect to the properties of the Heaviside's distribution, the Vlasov equation is reduced to a system of fluids coupled by the electromagnetic fields. This model is well suited mainly for problems involving a phase space with one velocity component. In the case of magnetized plasmas it gives an alternative way to study turbulence thanks to the gyro-average whose allows reducing the 3D velocity space into a 1D space. Parameters introduced by the water bag formalism have been linked to physical quantities by an original method of moment-sense equivalence. In the linear approximation, the water bag study of the ITG instability allows an interesting comparison with some well-known analytical results. The water-bag concept is not affected by taking into account Finite Larmor Radius effects. It well describes the case of multi-species plasma.
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Contributor : Pierre Morel <>
Submitted on : Wednesday, February 3, 2010 - 6:47:13 PM
Last modification on : Friday, November 13, 2020 - 8:36:07 AM
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  • HAL Id : tel-00453088, version 1



Pierre Morel. Le modèle "water bag" appliqué aux équation cinétiques des plasmas de Tokamak. Physique [physics]. Université Henri Poincaré - Nancy I, 2008. Français. ⟨tel-00453088⟩



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