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Rigorous derivation of the Landau equation in the weak coupling limit

Rigorous derivation of the Landau equation in the weak coupling limit

We examine a family of microscopic models of plasmas, with a parameter $\alpha$ comparing the typical distance between collisions to the strength of the grazing collisions. These microscopic models converge in distribution, in the weak coupling limit, to a velocity diffusion described by the linear Landau equation (also known as …