会聚磁场中电子束的稳态和脉冲注入
Stationary and impulsive injection of electron beams in converging magnetic field
摘要：
在这项工作中，我们研究了时间依赖的电子束注入到耀斑大气中的会聚磁场的沉淀，考虑碰撞和欧姆损耗与各向异性散射和俯仰角扩散。研究了两种喷射方式：短脉冲喷射和稳态喷射。比较了具有不同空间分布的会聚磁场的影响，计算了不同深度和区域的电子沉淀所产生的能量沉积。采用综合近似方法，数值求解了含时的Fokker-Planck方程，得到了电子在深度、能量和俯仰角上的分布。据发现，稳态注入建立在0.07-0.2秒后，取决于初始束参数的注入开始的束电子。静止电子束的能量沉积强烈依赖于自感电场，但较少依赖于磁场会聚。短电子脉冲的能量沉积被发现是不敏感的自感电场，但强烈的磁场收敛的影响。短束脉冲产生尖锐的不对称硬X射线爆发在毫秒的时间尺度内经常观察到的太阳耀斑。
英文摘要：
In this work we study time-dependent precipitation of an electron beam injected into a flaring atmosphere with a converging magnetic field by considering collisional and Ohmic losses with anisotropic scattering and pitch angle diffusion. Two injection regimes are investigated: short impulse and stationary injection. The effects of converging magnetic fields with different spatial profiles are compared and the energy deposition produced by the precipitating electrons at different depths and regimes is calculated. The time dependent Fokker-Planck equation for electron distribution in depth, energy and pitch angle was solved numerically by using the summary approximation method. It was found that steady state injection is established for beam electrons at 0.07-0.2 seconds after the injection onset depending on the initial beam parameters. Energy deposition by a stationary beam is strongly dependent on a self-induced electric field but less on a magnetic field convergence. Energy depositions by short electron impulses are found to be insensitive to the self-induced electric field but are strongly affected by a magnetic convergence. Short beam impulses are shown to produce sharp asymmetric hard X-ray bursts within a millisecond timescale often observed in solar flares.
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