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arXiv 1503.08869physics.plasm-ph
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电流方向不稳定性的时空演变

Spatial-temporal evolution of the current filamentation instability

V. B. Pathak, T. Grismayer, A. Stockem, R. A. Fonseca, L. O. Silva

摘要:

通过推导出电流不稳定性的一个偏微分方程,得到了电流丝模式在时间和空间上的解析解,分析了电流不稳定性的时空演化.当束前总是遇到新鲜等离子体时,我们的分析表明,不稳定性从束前到束后在空间上增长到一定的临界束长,然后不稳定性获得一个纯粹的时间增长。这个临界光束长度随时间线性增加,在非相对论区域,它与光束速度成正比。在相对论范围内,临界长度与束流洛伦兹因子$γ_{0b}$的立方成反比。因此,在超相对论状态下,不稳定性立即在整个光束上获得纯粹的时间增长。分析结果与OSIRIS进行的多维粒子模拟结果吻合良好。目前的研究,最近和未来的实验火球光束的相关性也得到了解决。

英文摘要:

The spatial-temporal evolution of the purely transverse current filamentation instability is analyzed by deriving a single partial differential equation for the instability and obtaining the analytical solutions for the spatially and temporally growing current filament mode. When the beam front always encounters fresh plasma, our analysis shows that the instability grows spatially from the beam front to the back up to a certain critical beam length; then the instability acquires a purely temporal growth. This critical beam length increases linearly with time and in the non-relativistic regime it is proportional to the beam velocity. In the relativistic regime the critical length is inversely proportional to the cube of the beam Lorentz factor $γ_{0b}$. Thus, in the ultra-relativistic regime the instability immediately acquires a purely temporal growth all over the beam. The analytical results are in good agreement with multidimensional particle-in-cell simulations performed with OSIRIS. Relevance of current study to recent and future experiments on fireball beams is also addressed.

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