Relativistic Klein-Gordon-Maxwell multistream model for quantum plasmas

Haas, Fernando and Eliasson, Bengt and Shukla, Padma (2012) Relativistic Klein-Gordon-Maxwell multistream model for quantum plasmas. Physical Review E, 85 (5). 056411. ISSN 2470-0053 (

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A multistream model for spinless electrons in a relativistic quantum plasma is introduced by means of a suitable fluidlike 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 nonrelativistic 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.