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arXiv 1701.06604astro-ph.HE
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超相对论性双爆炸

Ultra-relativistic double explosions

Maxim Lyutikov

摘要:

我们考虑相对论性双爆炸的流体动力学-当一个点爆炸与能量$E_1$,其次是第二次爆炸与能量$E_2$后,时间$t_d$(第二次爆炸可能是在一个长期持续的风的形式)。主爆炸产生了一个自相似的相对论性冲击波,以\Lf \ $Γ_1(t)$传播。具有总能量$E_2 \geq 10^{-2} E_1$的足够强的第二次爆炸在先前被主激波冲击的外部流体中产生快速的第二激波。在比爆炸间隔$t_d$更长的时间,但与第二次冲击在$\sim t_d Γ_1^2$赶上主震的时间相比更短的时间,第二次冲击的结构近似自相似。在外部密度不变的情况下(本例中为$Γ_2 \propto t^{-7/3}$),二次激波存在自相似结构,但在风环境下不存在。在早期,第二次冲击波的\Lf \可能会超过第一次冲击波,并可能将局部加速电子的同步辐射提高到费米LAT范围。

英文摘要:

We consider fluid dynamics of relativistic double explosion - when a point explosion with energy $E_1$ is followed by a second explosion with energy $E_2$ after time $t_d$ (the second explosion could be in a form of a long lasting wind). The primary explosion creates a self-similar relativistic blast wave propagating with \Lf\ $Γ_1(t)$. A sufficiently strong second explosion, with total energy $E_2 \geq 10^{-2} E_1$, creates a fast second shock in the external fluid previously shocked by the primary shock. At times longer than the interval between the explosions $t_d$, yet short compared with the time when the second shock catches up the primary shock at $\sim t_d Γ_1^2$, the structure of the second shock is approximately self-similar. Self-similar structure of the second shock exist for the case of constant external density (in this case $Γ_2 \propto t^{-7/3}$), but not for the wind environment. At early times the \Lf\ of the second shock may exceed that of the primary shock and may boost the synchrotron emission of locally accelerated electrons into the Fermi LAT range.

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