High-Frequency Plasma Conductivity in a Magnetic Field

Abstract

The rigorous expression for the classical high-frequency conductivity of a fully ionized plasma was obtained earlier through a joint solution, in the plasma limit, of the first two members of the B-B-G-K-Y hierarchy when both are able to change on the same time scale. [C. Oberman, A. Ron, and J. Dawson, Phys. Fluids 5, 1514 (1962)]. That treatment is now extended to include the presence of a uniform magnetic field. Through the use of a Fourier-Bessel transformation, the equation for the pair correlation function is rendered formally identical to that of the no magnetic field case.

Finite-amplitude RF heating rates for magnetized electrons in neutral plasma

“…( 5) reduces to the low-amplitude, high-frequency AC conductivity theory for magnetized plasma presented in Ref. 34 and extended for the case of spatially uncorrelated ions by Matsuda. 36 For a = eE/m e ω 2 RF ≪ r min we find…”

“…Predictions for such AC conductivity heating in plasmas with magnetized electrons exist in the literature. [34][35][36] However, these predictions occur in the context of assumptions that lead to practical difficulties for UNP experiments. The electric fields in Refs.…”

Electron Conductivity in High Magnetic Fields by the Test-Particle Technique

“…As shown in Ref. 3 this approximation fails when co«co c if £(co c ) has components perpendicular to B. A perpendicular component, E\_ (co c ), will give rise to a static electric field in a reference frame rotating with the gyrating particles; resistive effects must then be included in order to limit the exchange of energy between Ei (co c ) and the particles.…”

“…1 was considered by Oberman and Shure. 3 The quantum-mechanical problem was solved by Oberman and Ron 4 and by Wolman and Ron 5 for an electron gas in a magnetic field. Their approach was a kinetic one, much like the previous references.…”

Effect of Inner Field Fluctuations on Plasma Impedance

“…Consider a system of N ions with charge e and fixed positions R., and a test electron at position r . The ion field aj =M e= -e a (7) located at the ion sites. The change in the ion field can then be I written in the form N .…”