Title: The rigorous derivation of the linear Landau equation from a particle system in a weak-coupling limit,
Abstract: We consider a system of N particles interacting via a short-range smooth
potential, in a intermediate regime between the weak-coupling and the
low-density. We provide a rigorous derivation of the Linear Landau equation
from this particle system. The strategy of the proof consists in showing the
asymptotic equivalence between the one-particle marginal and the solution of
the linear Boltzmann equation with vanishing mean free path.Then, following the
ideas of Landau, we prove the asympotic equivalence between the solutions of
the Boltzmann and Landau linear equation in the grazing collision limit.