论文标题
幂律分布和规模不变结构从第一个钟声/FRB快速无线电爆发目录
Power-law distribution and scale-invariant structure from the first CHIME/FRB Fast Radio Burst catalog
论文作者
论文摘要
我们研究了第一个钟声/FRB目录中选定的190个一次性FRB的样本，研究快速无线电爆发（FRB）的统计特性。分析中使用了三种幂定律模型，我们发现能量的累积分布功能可以很好地适合弯曲幂定律和阈值幂定律模型。能量波动的分布功能遵循tsallis $ q $ - 高斯分布。 tsallis $ q $ -Gaussian分布中的$ Q $值在不同的时间尺度间隔内持续不断，表明爆发的规模不变结构。地震和软伽马中继器显示出相似的特性，这与自组织的关键性系统的预测一致。
We study the statistical property of fast radio bursts (FRBs) based on a selected sample of 190 one-off FRBs in the first CHIME/FRB catalog. Three power law models are used in the analysis, and we find the cumulative distribution functions of energy can be well fitted by bent power law and thresholded power law models. And the distribution functions of fluctuations of energy well follow the Tsallis $q$-Gaussian distribution. The $q$ values in the Tsallis $q$-Gaussian distribution are constant with small fluctuations for different temporal scale intervals, indicating a scale-invariant structure of the bursts. The earthquakes and soft gamma repeaters show similar properties, which are consistent with the predictions of self-organized criticality systems.
