Scale-invariance in the repeating fast radio burst 121102

Abstract The statistical properties of the repeating fast radio burst FRB 121102 are investigated. We find that the cumulative distributions of fluence, flux density, total energy and waiting time can be well fitted by the bent power law. In addition, the probability density functions of fluctuations of fluence, flux density and total energy well follow the Tsallis q-Gaussian distribution. The q values keep steady around q ∼ 2 for different scale intervals, indicating a scale-invariant structure of the bursts. The statistical properties of FRB 121102 are very similar to that of the soft gamma repeater SGR J1550-5418. The underlying physical implications need to be further investigated.

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Statistical properties of magnetar bursts and FRB 121102

Monthly Notices of the Royal Astronomical Society ◽

10.1093/mnras/stz3085 ◽

2019 ◽

Vol 491 (1) ◽

pp. 1498-1505 ◽

Cited By ~ 6

Author(s):

Yingjie Cheng ◽

G Q Zhang ◽

F Y Wang

Keyword(s):

Power Law ◽

Time Distribution ◽

Statistical Properties ◽

Occurrence Rate ◽

Waiting Time Distribution ◽

X Ray ◽

Central Engine ◽

Fast Radio Burst ◽

Soft Gamma Repeater ◽

Critical Process

ABSTRACT In this paper, we present statistics of soft gamma repeater (SGR) bursts from SGR J1550−5418, SGR 1806−20, and SGR 1900+14 by adding new bursts from Kırmızıbayrak et al. detected with the Rossi X-ray Timing Explorer. We find that the fluence distributions of magnetar bursts are well described by power-law functions with indices 1.84, 1.68, and 1.65 for SGR J1550−5418, SGR 1806−20, and SGR 1900+14, respectively. The duration distributions of magnetar bursts also show power-law forms. Meanwhile, the waiting time distribution can be described by a non-stationary Poisson process with an exponentially growing occurrence rate. These distributive features indicate that magnetar bursts can be regarded as a self-organizing critical process. We also compare these distributions with the repeating fast radio burst (FRB) 121102. The statistical properties of repeating FRB 121102 are similar with magnetar bursts, combining with the large required magnetic field (B ≥ 1014 G) of neutron star for FRB 121102, which indicates that the central engine of FRB 121102 may be a magnetar.

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Statistical properties of the repeating fast radio burst source FRB 121102

International Journal of Cosmology, Astronomy and Astrophysics ◽

10.18689/ijcaa-1000108 ◽

2019 ◽

Vol 1 (1) ◽

pp. 22-32 ◽

Cited By ~ 1

Author(s):

Bing Li ◽

Long-Biao Li ◽

Zhi-Bin Zhang ◽

Jin-Jun Geng ◽

Li-Ming Song ◽

...

Keyword(s):

Radio Burst ◽

Statistical Properties ◽

Burst Source ◽

Fast Radio Burst

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Statistical Properties of Rain Cells in the Padana Valley

Journal of Atmospheric and Oceanic Technology ◽

10.1175/2008jtecha1130.1 ◽

2008 ◽

Vol 25 (12) ◽

pp. 2230-2244 ◽

Cited By ~ 11

Author(s):

Carlo Capsoni ◽

Michele D’Amico ◽

Paolo Locatelli

Keyword(s):

Probability Density Functions ◽

Statistical Properties ◽

Morphological Properties ◽

Density Functions ◽

Large Collection ◽

Rain Intensity ◽

Daughter Cells ◽

Experimental Station ◽

Mother Cells

Abstract A large collection of radar reflectivity maps gathered from 1988 to 1992 at the Spino d’Adda experimental station, located in the Padana Valley, has been exploited to investigate the statistical properties of rain structures and their descriptors. The results of this analysis can be of interest for meteorological, hydrological, and telecommunication applications. The authors found that the isosuperficial diameter follows an exponential distribution; when the threshold of rain intensity is increased, disappearance is dominant over fragmentation; moreover, the number of “mother cells” that generate N “daughter cells” decreases exponentially with N. To give a complete but concise characterization of the geometrical, physical, and morphological properties of rain cells, a set of analytical descriptors has been introduced and statistically defined through their probability density functions and the centrality, dispersion, and excursion parameters. As a final point, comparative statistical analyses have been performed at different thresholds for every couple of descriptors introduced, which allowed the authors to highlight correlations between them.

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