2021
DOI: 10.1093/mnras/stab3600
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Statistical similarity between soft gamma repeaters and repeating fast radio bursts

Abstract: We study the statistical properties of the soft gamma repeater SGR 1935+2154. We find that the cumulative distributions of duration, waiting time, fluence and flux can be well fitted by bent power law. In addition, the probability density functions of fluctuations of duration, waiting time, fluence and flux well follow the Tsallis q-Gaussian distribution. The q values keep steady for different temporal scale intervals, indicating a scale-invariant structure of the bursts. Those features are very similar to the… Show more

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Cited by 16 publications
(15 citation statements)
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“…Some theoretical models based on magnetars have been proposed (Kulkarni et al 2014;Lyubarsky 2014;Katz 2016;Murase et al 2016;Beloborodov 2020;Metzger et al 2019;Wang et al 2020). Interestingly, the statistical properties of the repeating bursts are consistent with Galactic magnetar bursts (Wang & Yu 2017;Wadiasingh & Timokhin 2019;Cheng et al 2020;Zhang et al 2021;Wei et al 2021;Sang & Lin 2022).…”
Section: Introductionsupporting
confidence: 68%
“…Some theoretical models based on magnetars have been proposed (Kulkarni et al 2014;Lyubarsky 2014;Katz 2016;Murase et al 2016;Beloborodov 2020;Metzger et al 2019;Wang et al 2020). Interestingly, the statistical properties of the repeating bursts are consistent with Galactic magnetar bursts (Wang & Yu 2017;Wadiasingh & Timokhin 2019;Cheng et al 2020;Zhang et al 2021;Wei et al 2021;Sang & Lin 2022).…”
Section: Introductionsupporting
confidence: 68%
“…. Here, due to the limited number of data points, we use the cumulative distribution function (CDF) of Tsallis q-Gaussian function to fit the size difference distributions (Sang & Lin 2022;Wang et al 2023), which can be written as…”
Section: Methodsmentioning
confidence: 99%
“…Statistical analysis of FRB 121102 shows that the burst energies and waiting times follow the power-law distribution [17][18][19], hinting that the explosion of repeating FRBs may be a self-organized criticality process. Further analysis shows that the bursts of FRB 121102 can be more well fitted by the bent power-law and are scale-invariant [20], implying that there are some similarities between FRBs and soft gamma repeaters (SGRs) [21,22]. As the FAST telescope extensively increases the bursts from FRB 121102, a bimodal burst energy distribution is found [16].…”
Section: Introductionmentioning
confidence: 94%