Complete plasmon spectrum of two-stream system

TL;DR

This paper derives a comprehensive analytic spectrum of plasmons in a two-stream plasma system, applicable across various relativistic regimes and plasma types, including electromagnetic and quark-gluon plasmas.

Contribution

It provides the first complete closed-form solution for the plasmon spectrum in two-stream systems with arbitrary wave vector orientation and relativistic conditions.

Findings

Analytic spectrum valid for nonrelativistic to ultrarelativistic plasmas.

Applicable to electromagnetic and quark-gluon plasmas.

Spectrum covers arbitrary wave vector orientations.

Abstract

The complete spectrum of plasmons of the two interpenetrating plasma streams is found in a closed analytic form. The orientation of the wave vector with respect to the stream direction is arbitrary and the plasmas, which are assumed to be collisionless and spatially homogeneous, can be nonrelativistic, relativistic or even ultrarelativistic. Our results apply to the electromagnetic plasma of electrons and passive ions and to the quark-gluon plasma governed by QCD.