A fast and accurate method of calculating particle diffusion - Application to the ionosphere

Physics

Scientific paper

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Diffusion Theory, Earth Ionosphere, Electron Acceleration, Electron Diffusion, Lower Ionosphere, Plasma-Electromagnetic Interaction, Coordinate Transformations, Finite Element Method, Hamiltonian Functions, Harmonics

Scientific paper

Electron acceleration by a wave propagating obliquely in a magnetized plasma is considered. For wave amplitudes above the stochasticity threshold the motion of electrons is diffusive. A test of a simple diffusion formalism is presented. The diffusion equation is reduced to a one-dimensional form by transforming to a coordinate system that has the Hamiltonian as one of the axes. A model for the diffusion coefficient and the resulting diffusion equation is solved by means of the finite element technique. The results are compared with numerical solutions of the orbits. Finally, the results are applied to the problem of electron diffusion in the lower ionosphere.

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