Relativistic two-stream instability
Relativistic two-stream instability
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相对论双流不稳定性
DOI：
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发表时间：
2009
期刊：
影响因子：
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通讯作者：
G. Comer
中科院分区：
文献类型：
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作者：
L. Samuelsson;Cesar S. Lopez;N. Andersson;G. Comer
我们研究平面波在相对论、非耗散、双流体系统中的（局部）传播，允许“背景”配置中的相对速度。主要目的是分析相对论双流不稳定性。这种不稳定性需要相对流动——无论是穿过界面还是当两种或多种流体相互渗透时——并且可以被触发，例如，当一维平面波似乎相对于一种流体向左移动，但相对于另一种流体向右移动时。针对不同的双流体状态方程研究了双流体系统的色散关系：（i）“自由”（流体密度之间没有直接耦合），（ii）耦合和（iii）夹带（其中流体动量是速度的线性组合）情况以与框架无关的方式考虑（例如，对任一流体的静止框架没有限制）。作为我们分析的副产品，我们确定了双流体系统因果且绝对稳定的必要条件，并对夹带建立了新的约束。
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 (e.g.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.