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Non-linear diffusive shock acceleration with free-escape boundary

机译:具有自由逃生边界的非线性扩散冲击加速度

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We present here a semi-analytical solution of the problem of particle acceleration at non-linear shock waves with a free-escape boundary at some location upstream. This solution, besides allowing us to determine the spectrum of particles accelerated at the shock front, including the shape of the cutoff at some maximum momentum, also allows us to determine the spectrum of particles escaping the system from upstream. This latter aspect of the problem is crucial for establishing a connection between the accelerated particles in astrophysical sources, such as supernova remnants, and the cosmic rays observed at the Earth. An excellent approximate solution, which leads to a computationally fast calculation of the structure of shocks with an arbitrary level of cosmic ray modification, is also obtained.
机译:我们在这里提出了在上游冲击波在某个位置具有自由逸出边界的非线性冲击波处的粒子加速问题的半解析解。该解决方案除了使我们能够确定在冲击波前加速的粒子光谱(包括在某些最大动量处的截止形状)之外,还使我们能够确定从上游逸出系统的粒子光谱。该问题的后一方面对于在天体物理学源(例如超新星残余)中的加速粒子与在地球上观测到的宇宙射线之间建立联系至关重要。还获得了一种极好的近似解,可以用任意水平的宇宙射线修改来快速计算冲击的结构。

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