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The derivation of Debye shielding and Landau damping from the $N$-bodydescription of plasmas is performed directly by using Newton's second law forthe $N$-body system. This is done in a few steps with elementary calculationsusing standard tools of calculus, and no probabilistic setting. Unexpectedly,Debye shielding is encountered together with Landau damping. This approach isshown to be justified in the one-dimensional case when the number of particlesin a Debye sphere becomes large. The theory is extended to accommodate acorrect description of trapping and chaos due to Langmuir waves. Shielding andcollisional transport are found to be two related aspects of the repulsivedeflections of electrons, in such a way that each particle is shielded by allother ones while keeping in uninterrupted motion.

Direct path from microscopic mechanics to Debye shielding, Landau damping, and wave-particle interaction