Exact nonlinear analytic Vlasov-Maxwell tangential equilibria with arbitrary density and temperature profiles

Fabrice Mottez (1)

1 CETP - Centre d'étude des environnements terrestre et planétaires

The tangential layers are characterized by a bulk plasma velocity and a magnetic field that are perpendicular to the gradient direction.They have been extensively described in the frame of the Magneto-Hydro-Dynamic (MHD) theory.But the MHD theory does not look inside the transition regionif the transition has a size of a few ion gyroradii. A series of kinetic tangential equilibria, valid for a collisionless plasma is presented. These equilibria are exact analytical solutions of the Maxwell-Vlasov equations.The particle distribution functionsare sums of an infinite number of elementaryfunctions parametrized by a vector potential.Examples of equilibria relevant to space plasmas are shown. A model for the deep and sharp density depletions observed in the auroral zone of the Earth is proposed. Tangential equilibria are also relevant for the study of planetary environments and ofremote astrophysical plasmas.

Keywords: Space plasmas; Magnetosphere; Shock waves and discontinuities

Domains: Space Physics [physics.space-ph]; Plasma Physics [physics.plasm-ph]

Fabrice Mottez. Exact nonlinear analytic Vlasov-Maxwell tangential equilibria with arbitrary density and temperature profiles. Physics of Fluids, 2003, 10, Phys. Plasmas, 10, pp. 2501-2508. ⟨hal-00001083⟩