Wave propagation in strongly coupled classical plasmas in an external magnetic field

Abstract

When a small perturbation is applied to the plasma dispersion, a small shift of frequency due to correlation occurs. This is justified even for strong coupling, since the effect is proportional tok 2 (k is the wave vector) and it is sufficient to consider thek → 0 limit. Then by solving the dispersion relations forδω, the shift of frequency due to correlation, at different angles of propagation, we obtain all information needed. The plasma modes in which we are primarily interested are the “whistler” and the “extraordinary” modes. In this work the STLS (Singwi, Tosi, Land, and Sjolander) approximation scheme is used. It is seen that the correlational effects enter only through terms of orderk 6 for the whistler mode and terms of orderk 2 for the nonresonant situation of the extraordinary mode.