arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 2309.08309astro-ph.HE
收藏

膨胀介质中的相对论性球对称激波

Relativistic Spherical Shocks in Expanding Media

Taya Govreen-Segal, Noam Youngerman, Ishika Palit, Ehud Nakar, Amir Levinson, Omer Bromberg

AI总结:

本文研究了相对论性同构膨胀介质中球对称激波的传播,发现激波行为可由其固有速度表征,并存在一个临界值使得恒定固有速度的自相似解存在,通过数值模拟验证了激波速度的演化规律并给出了超相对论区域的解析近似。

摘要:

我们研究了在相对论性同构膨胀介质中球对称激波的传播,该介质的密度分布在其洛伦兹因子上遵循幂律分布。即 $ρ_{ej} \propto t^{-3}γ_{e}(R,t)^{-α}$,其中 $ρ_{ej}$ 是介质的固有密度,$γ_{e}$ 是其洛伦兹因子,$α>0$ 是常数,$t$ 和 $R$ 分别是时间和距中心的半径。我们发现激波的行为可以通过其固有速度 $U'=Γ_s'β_s'$ 来表征,其中 $Γ_s'$ 是在紧邻上游参考系中测量的激波洛伦兹因子,$β_s'$ 是相应的 3-速度。虽然通常我们不期望激波演化是自相似的,但对于每个 $α>0$,我们发现存在一个临界值 $U'_c$,使得具有恒定 $U'$ 的自相似解存在。然后我们使用数值模拟研究了一般激波的行为。我们发现 $U'>U'_c$ 的激波具有单调增长的 $U'$,而 $U'<U'_c$ 的激波具有递减的 $U'$ 并最终会消亡。最后,我们基于数值结果,给出了在 $U'$ 处于超相对论性区域内一般激波演化的解析近似。

英文摘要:

We investigate the propagation of spherically symmetric shocks in relativistic homologously expanding media with density distributions following a power-law profile in their Lorentz factor. That is, $ρ_{ej} \propto t^{-3}γ_{e}(R,t)^{-α}$, where $ρ_{ej}$ is the medium proper density, $γ_{e}$ is its Lorentz factor, $α>0$ is constant and $t$, $R$ are the time and radius from the center. We find that the shocks behavior can be characterized by their proper velocity, $U'=Γ_s'β_s'$, where $Γ_s'$ is the shock Lorentz factor as measured in the immediate upstream frame and $β_s'$ is the corresponding 3-velocity. While generally, we do not expect the shock evolution to be self-similar, for every $α>0$ we find a critical value $U'_c$ for which a self-similar solution with constant $U'$ exists. We then use numerical simulations to investigate the behavior of general shocks. We find that shocks with $U'>U'_c$ have a monotonously growing $U'$, while those with $U'<U'_c$ have a decreasing $U'$ and will eventually die out. Finally, we present an analytic approximation, based on our numerical results, for the evolution of general shocks in the regime where $U'$ is ultra-relativistic.

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。

↑