相对论性热等离子体统一几何模型中的纵波破缺极限
Longitudinal wave-breaking limits in a unified geometric model of relativistic warm plasmas
摘要：
利用协变的Vlasov-Maxwell系统研究了相对论性温等离子体波的破缺。由Katsouleas和Mori（KM）提出的著名的相对论性暖等离子体理论被包含在时空上的“水袋”范式的统一几何表述中。我们计算的最大振幅$E_\text{max}$的非线性纵向电波的一个特定类别的水袋，其几何形状是一个简单的三维推广（速度）的1维KM水袋（速度）。众所周知，$\lim_{v\to c}E_\text{max}$的值（等离子体电子的有效温度保持不变）发散的KM模型，然而，我们表明，某一类简单的三维水袋产生一个有限的值为$\lim_{v\to c}E_\text{max}$，其中$v$是波的相速度和$c$是光速。
英文摘要：
The covariant Vlasov-Maxwell system is used to study breaking of relativistic warm plasma waves. The well-known theory of relativistic warm plasmas due to Katsouleas and Mori (KM) is subsumed within a unified geometric formulation of the `waterbag' paradigm over spacetime. We calculate the maximum amplitude $E_\text{max}$ of non-linear longitudinal electric waves for a particular class of waterbags whose geometry is a simple 3-dimensional generalization (in velocity) of the 1-dimensional KM waterbag (in velocity). It is well known that the value of $\lim_{v\to c}E_\text{max}$ (with the effective temperature of the plasma electrons held fixed) diverges for the KM model; however, we show that a certain class of simple 3-dimensional waterbags yields a finite value for $\lim_{v\to c}E_\text{max}$, where $v$ is the phase velocity of the wave and $c$ is the speed of light.
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