High-frequency sum rules for classical one-component plasma in a magnetic field

Abstract

A high-frequency sum-rule expansion is derived for all elements of a classical plasma dielectric tensor in the presence of an external magnetic field, Ω 4 13 is found to be the only coefficient of ω−4 that has no correlational and finite-radiation-temperature contributions. The finite-radiation-temperature effect results in an upward renormalization of the frequencies of the modes; it also leads to either reduction of the negative correlational effect on the positive thermal dispersion or, together with correlation, enhancement of the positive thermal dispersion for finitek, depending on the direction of propagation. Further, for the extraordinary mode, the finite-radiation-temperature effect increases the positive refractive dispersion for finitek.