Propagation of electronic longitudinal modes in a truncated maxwellian plasma

Abstract

This paper is a theoretical and experimental study of the propagation of longitudinal electron waves in a collisionless, homogeneous, isotropic plasma, whose velocity distribution function is a truncated Maxwellian. Using the method of residues and numerical calculation, the behaviour of the electric field is found to be in good agreement with experimental results. The plasma parameters can be deduced from the theoretical dispersion curves matching the experimental points; they are found to agree well with those measured by electrostatic probes. In conclusion, a pragmatic approach to the resolution of the plasma inverse problem is discussed.

The incomplete plasma dispersion function: Properties and application to waves in bounded plasmas

“…The modeled wave properties were also confirmed using a probe and spectrum analyzer. 9 Similarly, the dispersion relations developed in Secs. III and IV should be accessible to experimental measurement with the classical probe techniques.…”

New Probability Distributions in Astrophysics: III. The Truncated Maxwell-Boltzmann Distribution

“…The kinetic theory is developed in a classical environment, which means that the involved velocities should be smaller than ≈ 1/10 c These items point toward the hypothesis of an upper bound in velocity for the MB. We will now report some approaches, including an upper bound in velocity: the ion velocities parallel to the magnetic field in a low density surface of a ionized plasma [3]; propagation of longitudinal electron waves in a collisionless, homogeneous, isotropic plasma, whose velocity distribution function is a truncated MB [4]; fast ion production in laser plasma [5]; the release of a dust particle from a plasma-facing wall [6]; an explanation of an anomaly in the Dark Matter (DAMA) experiment [7]; a distorted MB distribution of epithermal ions observed associated with the collapse of energetic ions [8]; and deviations to MB distribution that could have observable effects which can be measured trough the vapor spectroscopy at an interface [9]. However, these approaches do not clearly cover the effect of introducing a lower and an upper boundary in the MB distribution, which is the subject that will be analyzed in this paper.…”