相对论双流不稳定性
Relativistic Two-stream Instability
摘要：
我们研究了平面波在相对论性、非耗散、双流体系统中的（局部）传播，允许在“背景”配置中具有相对速度。主要目的是分析相对论双流不稳定性。这种不稳定性需要一个相对的流动--无论是穿过界面还是当两种或更多种流体相互渗透时--并且可以被触发，例如，当一维平面波相对于一种流体出现左移，但相对于另一种流体出现右移时。本文研究了两流体系统在不同状态方程下的色散关系：（i）“自由”（其中流体密度之间没有直接耦合），（ii）耦合，（iii）夹带（其中流体动量是速度的线性组合）的情况被认为是与标架无关的（例如，当流体动量为速度的线性组合时）。对任一流体的静止框架没有限制）。作为我们的分析的副产品，我们确定的必要条件的两个流体系统是因果关系和绝对稳定的，并建立一个新的约束夹带。
英文摘要：
We study the (local) propagation of plane waves in a relativistic, non-dissipative, two-fluid system, allowing for a relative velocity in the "background" configuration. The main aim is to analyze relativistic two-stream instability. This instability requires a relative flow -- either across an interface or when two or more fluids interpenetrate -- and can be triggered, for example, when one-dimensional plane-waves appear to be left-moving with respect to one fluid, but right-moving with respect to another. The dispersion relation of the two-fluid system is studied for different two-fluid equations of state: (i) the "free" (where there is no direct coupling between the fluid densities), (ii) coupled, and (iii) entrained (where the fluid momenta are linear combinations of the velocities) cases are considered in a frame-independent fashion (eg. no restriction to the rest-frame of either fluid). As a by-product of our analysis we determine the necessary conditions for a two-fluid system to be causal and absolutely stable and establish a new constraint on the entrainment.
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