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arXiv · 1206.1085

Relativistic Klein-Gordon-Maxwell multistream model for quantum plasmas

F. Haas·B. Eliasson·P. K. Shukla
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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.

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F. Haas, B. Eliasson, P. K. Shukla. 2012-06-05. Relativistic Klein-Gordon-Maxwell multistream model for quantum plasmas. https://doi.org/10.1103/physreve.85.056411

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