Journal
PLASMA PHYSICS AND CONTROLLED FUSION
Volume 57, Issue 2, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/0741-3335/57/2/025017
Keywords
basic plasma physics; Debye shielding; wave-particle interaction; N-body dynamics; Landau damping; spontaneous emission; amplitude equation
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The derivation of Debye shielding and Landau damping from the N-body description of plasmas is performed directly by using Newton's second law for the N-body system. This is done in a few steps with elementary calculations using standard tools of calculus and no probabilistic setting. Unexpectedly, Debye shielding is encountered together with Landau damping. This approach is shown to be justified in the one-dimensional case when the number of particles in a Debye sphere becomes large. The theory is extended to accommodate a correct description of trapping and chaos due to Langmuir waves. On top of their well-known production of collisional transport, the repulsive deflections of electrons are shown to produce shielding, in such a way that each particle is shielded by all other ones, while keeping in uninterrupted motion.
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