Energy and waiting time distributions of FRB 121102 observed by FAST

Abstract

The energy and waiting time distributions are important properties for understanding the physical mechanism of repeating fast radio bursts (FRBs). Recently, the Five-hundred-meter Aperture Spherical radio Telescope (FAST) detected the largest burst sample of FRB 121102, containing 1652 bursts. We use this sample to investigate the energy and waiting time distributions. The energy count distribution $dN/dE$ at the high-energy range ($>10^{38}$ erg) can be fitted with a single power-law function with an index of $-1.86_{-0.02}^{+0.02}$, while the distribution at the low-energy range deviates from the power-law function. An interesting result of Li et al. (2021) is that there is an apparent temporal gap between early bursts (occurring before MJD 58740) and late bursts (occurring after MJD 58740). We find the energy distributions of high-energy bursts at different epochs are inconsistent. The power-law index is $-1.70_{-0.03}^{+0.03}$ for early bursts and $-2.60_{-0.14}^{+0.15}$ for late bursts. For bursts observed in a single day, a linear repetition pattern is found. We use the Weibull function to fit the distribution of waiting time of consecutive bursts. The shape parameter $k=0.72_{-0.01}^{+0.01}$ and the event rate $r=736.43_{-28.90}^{+26.55}$ day${}^{-1}$ are derived. If the waiting times with ${\delta }_t<28$ s are excluded, the burst behavior can be described by a Poisson process. The best-fitting values of $k$ are slightly different for low-energy ($E<1.58\times 10^{38}$ erg) and high-energy ($E>1.58\times 10^{38}$ erg) bursts.

arXiv comment20 pages, 1 table, 10 figures, accepted for publication in ApJ Letters

References in corpus (77)

• Planck 2015 results. XIII. Cosmological parameters
• A Repeating Fast Radio Burst
• The Five-Hundred-Meter Aperture Spherical Radio Telescope (FAST) Project
• The direct localization of a fast radio burst and its host
• A fast radio burst associated with a Galactic magnetar
• A bright millisecond-duration radio burst from a Galactic magnetar
• The Host Galaxy and Redshift of the Repeating Fast Radio Burst FRB 121102
• Fast Radio Bursts
• Fast Radio Burst Discovered in the Arecibo Pulsar ALFA Survey
• An extreme magneto-ionic environment associated with the fast radio burst source FRB 121102
• Fast Radio Bursts: An Extragalactic Enigma
• Fast radio bursts as synchrotron maser emission from decelerating relativistic blast waves
• CHIME/FRB Detection of Eight New Repeating Fast Radio Burst Sources
• The Repeating Fast Radio Burst FRB 121102 as Seen on Milliarcsecond Angular Scales
• Periodic activity from a fast radio burst source
• Highest-frequency detection of FRB 121102 at 4-8 GHz using the Breakthrough Listen Digital Backend at the Green Bank Telescope
• The Physical Mechanisms of Fast Radio Bursts
• The repeating Fast Radio Burst FRB 121102: Multi-wavelength observations and additional bursts
• Considerations for a Multi-beam Multi-purpose Survey with FAST
• A flaring magnetar in FRB 121102?
• FRB 121102 Bursts Show Complex Time-Frequency Structure
• Supergiant Pulses from Extragalactic Neutron Stars
• A bimodal burst energy distribution of a repeating fast radio burst source
• Possible periodic activity in the repeating FRB 121102
• A Burst in a Wind Bubble and the Impact on Baryonic Ejecta: High-Energy Gamma-Ray Flashes and Afterglows from Fast Radio Bursts and Pulsar-Driven Supernova Remnants
• Fast Radio Burst 121102 Pulse Detection and Periodicity: A Machine Learning Approach
• A Multi-telescope Campaign on FRB 121102: Implications for the FRB Population
• Repeating behaviour of FRB 121102: periodicity, waiting times and energy distribution
• Repeating Fast Radio Bursts from Highly Magnetized Pulsars Travelling through Asteroid Belts
• Statistical properties of SGR 1806-20 bursts
• A sample of low energy bursts from FRB 121102
• FRB Energetics and detectability from high redshifts
• The Physics of Fast Radio Bursts
• Repeating Fast Radio Bursts from Magnetars with Low Magnetospheric Twist
• On the FRB luminosity function -- II. Event rate density
• On the non-Poissonian repetition pattern of FRB121102
• A Binary Comb Model for Periodic Fast Radio Bursts
• The prevalence of repeating fast radio bursts
• On the normalised FRB luminosity function
• Periodicity in recurrent fast radio bursts and the origin of ultra long period magnetars
• Simultaneous X-ray, gamma-ray, and Radio Observations of the repeating Fast Radio Burst FRB 121102
• Rotation Measure Evolution of the Repeating Fast Radio Burst Source FRB 121102
• Self-organized criticality in X-ray flares of gamma-ray burst afterglows
• FRB-periodicity: mild pulsars in tight O/B-star binaries
• Comprehensive study of the X-ray flares from gamma-ray bursts observed by Swift
• Precessing flaring magnetar as a source of repeating FRB 180916.J0158+65
• Periodic Fast Radio Bursts with Neutron Star Free/Radiative Precession
• A search for optical bursts from the repeating fast radio burst FRB 121102
• Are all fast radio bursts repeating sources?
• Are there multiple populations of Fast Radio Bursts?
• Fast radio bursts and their high-energy counterpart from magnetar magnetospheres
• SGR-like behaviour of the repeating FRB 121102
• Implications from ASKAP Fast Radio Burst Statistics
• Repeating Fast Radio Bursts from Collapses of the Crust of a Strange Star
• Simultaneous multi-telescope observations of FRB 121102
• Repeating fast radio bursts with WSRT/Apertif
• Orbit-induced spin precession as an origin of periodicity in periodically-repeating fast radio bursts
• Millisecond extragalactic radio bursts as magnetar flares
• Statistical properties of giant pulses from the Crab pulsar
• On the energy and redshift distributions of fast radio bursts
• Statistical properties magnetar bursts and FRB 121102
• Periodic Fast Radio Bursts as a Probe of Extragalactic Asteroid Belts
• A universal energy distribution for FRB 121102
• Compact Binary Mergers and The Event Rate of Fast Radio Bursts
• Periodic Activities of Repeating Fast Radio Bursts from Be/X-ray Binary Systems
• Detection of Bursts from FRB 121102 with the Effelsberg 100-m Radio Telescope at 5 GHz and the Role of Scintillation
• Binary comb models for FRB 121102
• Statistics of X-ray flares of Sagittarius A*: evidence for solar-like self-organized criticality phenomenon
• An accreting stellar binary model for active periodic fast radio bursts
• On the true fractions of repeating and non-repeating FRB sources
• Universal Behavior of X-ray Flares from Black Hole Systems
• FRB Energetics and Sources
• Galactic and cosmological fast radio bursts as scaled-up solar radio bursts
• Periodic repeating fast radio bursts: interaction between a magnetized neutron star and its planet in an eccentric orbit
• Bursts before Burst: A Comparative Study on FRB 200428-associated and FRB-absent X-ray Bursts from SGR J1935+2154
• Statistical analysis on X-ray flares from the nucleus and HST-1 knot in the M87 jet
• FRB 121102 Bursts at a Constant Rate per Log Time

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