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arXiv 1005.3791astro-ph.HEphysics.plasm-ph
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相对论无碰撞激波远上游的长波不稳定模

Long wavelength unstable modes in the far upstream of relativistic collisionless shocks

Itay Rabinak, Boaz Katz, Eli Waxman

摘要:

在超相对论极限下,计算了相对论粒子束与非磁化冷等离子体相互作用引起的长波动力学不稳定性的增长率。对于充分达到顶点的光束,所有的长波长模式被证明是韦伯不稳定的,并推导出一个简单的解析表达式,其增长率。对于大的横向速度扩散,这些模式变得稳定。给出了稳定性的解析条件。这些分析结果,概括了以前的文献中给出的,被证明是一致的色散方程的数值解和新的PIC模拟的结果,其中的电-磁场被限制到一个给定的k-模式。结果可以描述高能宇宙射线的相互作用,传播到相对论性无碰撞激波的远上游,与冷的非磁化上游。考虑的长波长模式可能是有效的偏转粒子和扩散冲击加速可能是重要的。结果表明,当相对论激波传播到电子-正电子对等离子体中时,这些模增长,而当相对论激波传播到洛伦兹因子为\lesssim 100的电子-质子等离子体中时,这些模被阻尼.如果这些模式占主导地位的偏转高能宇宙射线在电子-正电子冲击,有人认为,粒子加速被抑制在冲击帧能量大于下游热能的一个因素大于冲击洛伦兹因子。

英文摘要:

The growth rate of long wavelength kinetic instabilities arising due to the interaction of a collimated beam of relativistic particles and a cold unmagnetized plasma are calculated in the ultra relativistic limit. For sufficiently culminated beams, all long wave-length modes are shown to be Weibel-unstable, and a simple analytic expression for their growth rate is derived. For large transverse velocity spreads, these modes become stable. An analytic condition for stability is given. These analytic results, which generalize earlier ones given in the literature, are shown to be in agreement with numerical solutions of the dispersion equation and with the results of novel PIC simulations in which the electro-magnetic fields are restricted to a given k-mode. The results may describe the interaction of energetic cosmic rays, propagating into the far upstream of a relativistic collisionless shock, with a cold unmagnetized upstream. The long wavelength modes considered may be efficient in deflecting particles and could be important for diffusive shock acceleration. It is shown that while these modes grow in relativistic shocks propagating into electron-positron pair plasmas, they are damped in relativistic shocks propagating into electron-proton plasmas with moderate Lorenz factors Γ_{sh}\lesssim 100. If these modes dominate the deflection of energetic cosmic rays in electron-positron shocks, it is argued that particle acceleration is suppressed at shock frame energies that are larger than the downstream thermal energy by a factor greater than the shock Lorentz factor.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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