Direct path from microscopic mechanics to Debye shielding, Landau damping and wave-particle interaction
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.
Features of the Debye Mode in an Electron Plasma at Various Degrees of the Electron Gas Degeneracy
We have considered the response of an electron plasma with an arbitrary degree of degeneration to an alternating electromagnetic field directed perpendicularly to the boundary of the plasma layer. The plasma screening of the electric field is determined by the Debye mode. The analysis of the behavior of this mode has been carried out depending on the parameters of the problem. For the first time, it has been shown that, ar sufficiently high degrees of the electron gas degeneracy, the range of the Debye mode existence has a substantially nontrivial character, in which the ranges of existence and absence of this mode alternate with increasing electric field frequency.
Research on integral error calibrating system of high-voltage electric energy measurement device
To the question that there is no accuracy grade to the existed HV energy measuring system, a design scheme to calibrate the integer error of HV energy measuring device is provided in this paper. The hardware of the calibrating system, including test power source, signal source, power benchmark system, power source measuring and regulating circuit, has been introduced in detail. The function of the monitoring and operating software is also discussed in the paper.