AI 中文总结
基于结合MAD和类布兰德福德-日纳杰喷流的模型，对LLAGNs射电核心尺寸和位置详细分析，成功再现特定频率间尺寸标度关系，证实高频率下MAD辐射超喷流及相关斜率变化，还研究了幂律电子影响。
AI 中文摘要
经过数十年努力，现在有了丰富的低光度活动星系核（LLAGNs）高分辨率射电观测，观测频率从约10GHz扩展到约200GHz。在这项工作中，基于结合磁捕获盘（MAD）和类布兰德福德-日纳杰喷流的模型，对LLAGNs射电核心的尺寸和位置进行详细分析。基于新模型重新审视了附近LLAGN M104的射电核心尺寸。若喷流中超过50%的电子遵循幂律分布，成功再现了1GHz到几十GHz之间的\(尺寸\propto\nu^{-1}\)标度关系。进一步证实，在高射电频率下，MAD的辐射超过喷流，且观测到更平缓的尺寸-频率斜率。还研究了MAD中幂律电子的影响。对于那些\(L_{\rm bol}/L_{\rm Edd} \gtrsim (3 - 8)\times 10^{-6}\)的LLAGNs以及处于硬态的黑洞双星，由于强烈的辐射冷却，幂律电子预计会受到高度抑制（即所谓的“同步辐射锅炉”效应）。
英文摘要
After decades of efforts, there are now fruitful high-resolution radio observations of low-luminosity active galactic nuclei (LLAGNs), and the observed frequency has extended from $\sim$10 GHz up to $\sim$200 GHz. In this work, based on a model that combines a magnetically arrested disk (MAD) and a Blandford-Znajek-like jet, we carried out detailed analysis on size and location of the radio core of LLAGNs. The radio core size of nearby LLAGN M104 is re-visited based on this new model. We successfully reproduce a $size\proptoν^{-1}$ scaling between 1 GHz and tens of GHz, if more than $50\%$ of electrons in jet follow a power-law (PL) distribution. We further confirm that, at high radio frequencies emission from MAD exceeds that from jet, and a flatter size-frequency slope is observed. The impact of PL electrons in MAD is also investigated. For those $L_{\rm bol}/L_{\rm Edd} \gtrsim (3-8)\times 10^{-6}$ LLAGNs and black hole binaries in their hard state, PL electrons are expected to be highly suppressed due to strong radiative cooling (so-called `synchrotron boiler' effect).
Comments14 pages, 10 figures, 1 table. To appear in ApJ
