Self-similar Solutions for the Interaction of Relativistic Ejecta with an Ambient Medium
Self-similar Solutions for the Interaction of Relativistic Ejecta with an Ambient Medium
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DOI：
10.1086/504025
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发表时间：
2006-03
期刊：
影响因子：
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通讯作者：
K. Nakamura;T. Shigeyama
中科院分区：
文献类型：
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作者：
K. Nakamura;T. Shigeyama
我们找到了描述以相对论速度膨胀的球对称抛射物与具有幂律密度分布的环境介质相互作用的自相似解。利用这些解，导出了外激波的洛伦兹系数随爆炸能量、抛射物质量和周围介质参数的时间演化。这些解是Chevalier得到的超新星抛射物的星周相互作用解的超相对论版本，以及Blandford & McKee的相对论爆炸波解的扩展。
We find self-similar solutions to describe the interaction of spherically symmetric ejecta expanding at relativistic speeds with an ambient medium having a power-law density distribution. Using these solutions, the time evolution of the Lorentz factor of the outer shock is derived as a function of the explosion energy, the mass of the ejecta, and parameters for the ambient medium. These solutions are an ultrarelativistic version of the solutions for the circumstellar interaction of supernova ejecta obtained by Chevalier and extensions of the relativistic blast wave solutions of Blandford & McKee.