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斜向高β激波下质子加速的混合模拟

Hybrid Simulations of Proton Acceleration at Oblique High-$β$ Shocks

Yevhen Kylivnyk, Damiano Caprioli, Luca Orusa

arXiv 2607.08835首次发表:更新:

AI 中文总结

研究斜向高β激波下质子加速,通过三维混合模拟发现弱激波加速效率低,强激波效率高,降低磁倾角可提高效率,为射电遗迹观测等提供微观物理框架,揭示磁倾角对质子加速的关键作用。

AI 中文摘要

星系团内和星系际介质中的无碰撞激波有望使电子和离子都获得能量。虽然通过显著的射电辐射揭示了电子加速,但强子相互作用产生的γ射线辐射仍未被探测到,这表明高β(热压与磁压之比)、低马赫数激波不能有效地加速质子。我们进行了三维混合模拟,其中离子采用动力学处理,电子视为流体,模拟了准垂直(磁倾角\(\vartheta = 80^\circ\))、声马赫数\(M_s \sim 3{-}15\)且等离子体β\(\gtrsim 15\)的激波,这代表了星系团环境。我们发现弱激波(\(M_s \lesssim 5\))无法产生显著的非热粒子群,宇宙射线(CR)加速效率\(\varepsilon_{\rm CR} \lesssim 0.1\%\)。相比之下,较强激波(\(M_s \gtrsim 10\))会产生斜率\(q \sim 4.0\)的明显幂律尾部,且\(\varepsilon_{\rm CR} \sim 3\%\)。这些结果表明,弱的、斜向的星系团内激波通常不太可能有效地加速质子。然而,将\(\vartheta\)降低到\(\sim 45^\circ\)会导致显著更高的加速效率,这表明磁倾角在确定质子加速中起关键作用。我们的发现为解释射电遗迹观测提供了一个微观物理框架,其极化表明电子在斜向激波处加速,且未检测到星系团γ射线。

英文摘要

Collisionless shocks in the intracluster and intergalactic medium (ICM/IGM) are expected to energize both electrons and ions. While electron acceleration is revealed by prominent radio emission, $γ$-ray emission from hadronic interactions remains undetected, suggesting that high-$β$ (ratio of thermal to magnetic pressure), low-Mach-number shocks cannot accelerate protons efficiently. We present three-dimensional hybrid simulations, in which ions are treated kinetically and electrons as a fluid, of quasi-perpendicular (magnetic obliquity $\vartheta = 80^\circ$) shocks with sonic Mach numbers $M_s \sim 3{-}15$ and plasma $β\gtrsim 15$, representative of cluster environments. We find that weak shocks ($M_s \lesssim 5$) fail to develop significant nonthermal populations, with cosmic ray (CR) acceleration efficiencies $\varepsilon_{\rm CR} \lesssim 0.1\%$. In contrast, stronger shocks ($M_s \gtrsim 10$) develop clear power-law tails with slopes $q \sim 4.0 $ and reach $\varepsilon_{\rm CR} \sim 3\%$. These results suggest that weak, oblique ICM shocks are generally unlikely to accelerate protons efficiently. However, reducing $\vartheta$ to $\sim 45^\circ$ leads to substantially higher acceleration efficiencies, indicating that magnetic obliquity plays a critical role in determining proton acceleration. Our findings provide a microphysical framework for interpreting radio relic observations, whose polarization suggests that electrons are accelerated at oblique shocks, and the absence of cluster $γ$-ray detections.

Comments9 pages, 4 figures. Submitted to ApJ

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