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arXiv 0910.3552astro-ph.HE
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超相对论II型强爆炸的离散自相似性

Discrete Self-Similarity in Ultra-Relativistic Type-II Strong Explosions

Yonatan Oren, Re'em Sari

摘要:

给出了具有非幂律密度梯度的超相对论性强爆炸问题的一个解。我们认为爆炸波扩展成一个密度分布下降作为一个陡峭的径向幂律小,球对称,对数周期的密度扰动。我们发现离散自相似的扰动方程的解决方案,并比较它们的数值模拟。然后将这些结果推广到包含具有任意轮廓的小的球对称扰动。

英文摘要:

A solution to the ultra-relativistic strong explosion problem with a non-power law density gradient is delineated. We consider a blast wave expanding into a density profile falling off as a steep radial power-law with small, spherically symmetric, and log-periodic density perturbations. We find discretely self-similar solutions to the perturbation equations and compare them to numerical simulations. These results are then generalized to encompass small spherically symmetric perturbations with arbitrary profiles.

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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