Relativistic Klein-Gordon-Maxwell multistream model for quantum plasmas

TL;DR

This paper introduces a relativistic multistream model for quantum plasmas based on the Klein-Gordon-Maxwell system, deriving new instability conditions and exploring nonlinear structures like solitons.

Contribution

It presents a novel relativistic multistream quantum plasma model and extends instability analysis to the relativistic regime, including detailed solutions for one and two-stream cases.

Findings

New linear instability condition for relativistic two-stream quantum plasmas.

Existence of nonlinear periodic and soliton solutions.

Model applicability conditions are clarified.

Abstract

A multistream model for spinless electrons in a relativistic quantum plasma is introduced by means of a suitable fluid-like version of the Klein-Gordon-Maxwell system. The one and two-stream cases are treated in detail. A new linear instability condition for two-stream quantum plasmas is obtained, generalizing the previously known non-relativistic results. In both the one and two-stream cases, steady-state solutions reduce the model to a set of coupled nonlinear ordinary differential equations, which can be numerically solved, yielding a manifold of nonlinear periodic and soliton structures. The validity conditions for the applicability of the model are addressed.