Power-law Distribution and Scale-invariant Structure from the First CHIME/FRB Fast Radio Burst Catalog
Power-law Distribution and Scale-invariant Structure from the First CHIME/FRB Fast Radio Burst Catalog
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DOI：
10.1088/1674-4527/acaa91
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发表时间：
2022-12
影响因子：
1.8
通讯作者：
T. C. C. M. Amiri-T.-C.-C.-M.-Amiri-102222341;B. Andersen;K. Bandura;S. Berger;M. Bhardwaj;M. Boyce;P. Boyle;C. Brar;
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作者：
T. C. C. M. Amiri-T.-C.-C.-M.-Amiri-102222341;B. Andersen;K. Bandura;S. Berger;M. Bhardwaj;M. Boyce;P. Boyle;C. Brar;
本文以CHIME/FRB星表中的190个一次性快射电暴为样本，研究了快射电暴的统计特性。分析中采用了三种幂律模型，发现弯曲幂律模型和阈值幂律模型都能很好地拟合能量的累积分布函数。能量涨落的分布函数很好地遵循Tsallis q-高斯分布。在Tsallis q-高斯分布的q值是恒定的，为不同的时间尺度间隔的小波动，表明规模不变的结构的爆发。地震和软伽玛重复体表现出相似的性质，这与自组织临界系统的预测是一致的。
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. 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.