Haas F, Eliasson B, Shukla P K
Departamento de Física, Universidade Federal do Paraná, Curitiba, Brazil.
Phys Rev E Stat Nonlin Soft Matter Phys. 2012 May;85(5 Pt 2):056411. doi: 10.1103/PhysRevE.85.056411. Epub 2012 May 18.
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.
通过克莱因 - 戈登 - 麦克斯韦系统的一种合适的类流体形式，引入了相对论量子等离子体中无自旋电子的多流模型。详细处理了单流和双流情况。得到了双流量子等离子体的一个新的线性不稳定性条件，推广了先前已知的非相对论结果。在单流和双流情况下，稳态解将模型简化为一组耦合的非线性常微分方程，这些方程可以通过数值求解，从而得到一系列非线性周期结构和孤子结构。讨论了该模型适用性的有效性条件。
