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arXiv 1102.5618astro-ph.HEastro-ph.CO
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伽马射线暴的相对论性喷流动力学和量热

Relativistic Jet Dynamics and Calorimetry of Gamma-Ray Bursts

N. Wygoda, E. Waxman, D. Frail

摘要:

我们提出了二维相对论流体动力学方程的数值解,描述了高度相对论锥形射流的减速和膨胀,开口角为0.05<θ <0.2,传播到均匀密度的介质中。喷流的演变是从准直的相对论流出,通过准球形非相对论阶段。我们表明,相对论性的侧向膨胀变得显着超过半径R的膨胀洛伦兹因子下降到1/θ。这与简单的分析估计是一致的,它预测的横向扩张速度比基于早期数值模型的预测要快。当t>R/c时,射流冲击波的辐射发射与具有相同能量的球形冲击波的辐射发射相似。因此,总的(量热)的伽玛射线暴爆炸波的能量可以估计只有一个小的分数误差的基础上的t>R/c的观测。

英文摘要:

We present numerical solutions of the 2D relativistic hydrodynamics equations describing the deceleration and expansion of highly relativistic conical jets, of opening angles 0.05<theta<0.2, propagating into a medium of uniform density. Jet evolution is followed from a collimated relativistic outflow through to the quasi-spherical non-relativistic phase. We show that relativistic sideways expansion becomes significant beyond the radius R at which the expansion Lorentz factor drops to 1/theta. This is consistent with simple analytic estimates, which predict faster sideways expansion than has been claimed based on earlier numerical modeling. For t>R/c the emission of radiation from the jet blast wave is similar to that of a spherical blast wave carrying the same energy. Thus, the total (calorimetric) energy of GRB blast waves may be estimated with only a small fractional error based on t>R/c observations.

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