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arXiv 0801.4583astro-ph
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相对论无碰撞激波中磁Turbulence的长期演化

Long Term Evolution of Magnetic Turbulence in Relativistic Collisionless Shocks

Philip Chang, Anatoly Spitkovsky, Jonathan Arons

摘要:

研究了初始未磁化的无碰撞相对论$e^+e^-$激波产生的磁场的长期演化。我们的二维粒子在细胞的数值模拟表明,下游这样的韦伯介导的冲击,粒子分布近似各向同性,相对论麦克斯韦,和磁湍流是高度间歇性的空间,非传播,和衰减。使用线性动力学理论,我们找到一个简单的解析形式,这些阻尼率。我们的理论预测,总的磁能衰减像$(ω_p t)^{-q}$与$q \sim 1$,这与模拟相比是有利的,但预测过快的衰减短波长模式。磁性结构内的粒子的磁性捕获可能是这种差异的起源。我们的结论是,最初未磁化的相对论冲击的电子-正电子等离子体是无法形成持久的下游磁场。这些结果提出了有趣的约束同步辐射模型的即时和余辉辐射的伽玛暴。

英文摘要:

We study the long term evolution of magnetic fields generated by an initially unmagnetized collisionless relativistic $e^+e^-$ shock. Our 2D particle-in-cell numerical simulations show that downstream of such a Weibel-mediated shock, particle distributions are approximately isotropic, relativistic Maxwellians, and the magnetic turbulence is highly intermittent spatially, nonpropagating, and decaying. Using linear kinetic theory, we find a simple analytic form for these damping rates. Our theory predicts that overall magnetic energy decays like $(ω_p t)^{-q}$ with $q \sim 1$, which compares favorably with simulations, but predicts overly rapid damping of short wavelength modes. Magnetic trapping of particles within the magnetic structures may be the origin of this discrepancy. We conclude that initially unmagnetized relativistic shocks in electron-positron plasmas are unable to form persistent downstream magnetic fields. These results put interesting constraints on synchrotron models for the prompt and afterglow emission from GRBs.

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