%0 Journal Article %T N-body description of Debye shielding and Landau damping %A D. F. Escande %A F. Doveil %A Yves Elskens %J Physics %D 2015 %I arXiv %R 10.1088/0741-3335/58/1/014040 %X This paper brings further insight into the recently published N-body description of Debye shielding and Landau damping [Escande D F, Elskens Y and Doveil F 2014 Plasma Phys. Control. Fusion 57 025017]. Its fundamental equation for the electrostatic potential is derived in a simpler and more rigorous way. Various physical consequences of the new approach are discussed, and this approach is compared with the seminal one by Pines and Bohm [Pines D and Bohm D 1952 Phys. Rev. 85 338--353]. %U http://arxiv.org/abs/1506.06468v2