A universal energy distribution for FRB 121102

Abstract

Fast radio bursts (FRBs) are milliseconds radio transients with large dispersion measures (DMs). An outstanding question is the relation between repeating FRBs and those with a single burst. In this paper, we study the energy distribution of the repeating FRB 121102. For a power-law distribution of energy $dN/dE\propto E^{-{\alpha }_E}$, we show that the value of ${\alpha }_E$ is in a narrow range $1.6-1.8$ for bursts observed by different telescopes at different frequencies, which indicates a universal energy distribution for FRB 121102. Interestingly, similar power-law index of energy distribution for non-repeating FRBs observed by Parkes and ASKAP is also found. However, if low-energy bursts below completeness threshold of Arecibo are discarded for FRB 121102, the slope could be up to 2.2. Implications of such a universal energy distribution are discussed.

arXiv comment17 pages, 3 figures, 8 tables, accepted for publication in ApJ

References in corpus (57)

• emcee: The MCMC Hammer
• A bright millisecond radio burst of extragalactic origin
• On the normalisation of the cosmic star formation history
• A Population of Fast Radio Bursts at Cosmological Distances
• A Repeating Fast Radio Burst
• The direct localization of a fast radio burst and its host
• A Decade of Short-duration Gamma-ray Burst Broad-band Afterglows: Energetics, Circumburst Densities, and Jet Opening Angles
• Fast Radio Burst Discovered in the Arecibo Pulsar ALFA Survey
• An extreme magneto-ionic environment associated with the fast radio burst source FRB 121102
• FRBCAT: The Fast Radio Burst Catalogue
• A single fast radio burst localized to a massive galaxy at cosmological distance
• Millisecond Magnetar Birth Connects FRB 121102 to Superluminous Supernovae and Long Duration Gamma-ray Bursts
• A fast radio burst localised to a massive galaxy
• Highest-frequency detection of FRB 121102 at 4-8 GHz using the Breakthrough Listen Digital Backend at the Green Bank Telescope
• Locating the "missing" baryons with extragalactic dispersion measure estimates
• The repeating Fast Radio Burst FRB 121102: Multi-wavelength observations and additional bursts
• FRB 121102 Bursts Show Complex Time-Frequency Structure
• A Second Source of Repeating Fast Radio Bursts
• Cosmological implications of Fast Radio Burst / Gamma-Ray Burst Associations
• Fast Radio Burst 121102 Pulse Detection and Periodicity: A Machine Learning Approach
• A Multi-telescope Campaign on FRB 121102: Implications for the FRB Population
• Rates of Superluminous Supernovae at z~0.2
• How Soft Gamma Repeaters May Make Fast Radio Bursts
• Fast radio bursts: search sensitivities and completeness
• Fast radio bursts as a cosmic probe?
• A sample of low energy bursts from FRB 121102
• Fast Radio Burst/Gamma-Ray Burst Cosmography
• Testing Einstein's Equivalence Principle with Fast Radio Bursts
• On the normalised FRB luminosity function
• Simultaneous X-ray, gamma-ray, and Radio Observations of the repeating Fast Radio Burst FRB 121102
• Strongly lensed repeating Fast Radio Bursts as precision probes of the universe
• Probing the Intergalactic Medium with Fast Radio Bursts
• Empirical constraints on the origin of fast radio bursts: volumetric rates and host galaxy demographics as a test of millisecond magnetar connection
• Self-organized criticality in X-ray flares of gamma-ray burst afterglows
• Future Cosmological Constraints from Fast Radio Bursts
• Are there multiple populations of Fast Radio Bursts?
• An unexpectedly low-redshift excess of Swift gamma-ray burst rate
• SGR-like behaviour of the repeating FRB 121102
• FRB event rate counts II --- fluence, redshift and dispersion measure distributions
• A Giant Sample of Giant Pulses from the Crab Pulsar
• Extracting host galaxy dispersion measure and constraining cosmological parameters using fast radio burst data
• Thresholded Power Law Size Distributions of Instabilities in Astrophysics
• The observed properties of Fast Radio Bursts
• Cosmology-independent estimate of the fraction of baryon mass in the IGM from fast radio burst observations
• The formation rate of short gamma-ray bursts and gravitational waves
• Measuring the cosmic proper distance from fast radio bursts
• Lensing of Fast Radio Bursts by Binaries to Probe Compact Dark Matter
• A universal energy distribution function for repeating fast radio bursts?
• Intensity Distribution Function and Statistical Properties of Fast Radio Bursts
• Compact Binary Mergers and The Event Rate of Fast Radio Bursts
• Detection of Bursts from FRB 121102 with the Effelsberg 100-m Radio Telescope at 5 GHz and the Role of Scintillation
• Constraining the age of a magnetar possibly associated with FRB 121102
• One or several populations of fast radio burst sources?
• The maximum luminosity of fast radio bursts
• Energy function, formation rate and low-metallicity environment of fast radio bursts
• The nature of fast radio bursts
• Self-organized criticality in type I X-ray bursts

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• The Physics of Fast Radio Bursts
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• FAST observations of an extremely active episode of FRB 20201124A: II. Energy Distribution
• Fast radio bursts from activities of neutron stars newborn in BNS mergers: offset, birth rate and observational properties
• Statistical properties magnetar bursts and FRB 121102
• Periodic Fast Radio Bursts as a Probe of Extragalactic Asteroid Belts
• Are Fast Radio Bursts Made By Neutron Stars?
• Fast Radio Burst Distributions Consistent with the First CHIME/FRB Catalog
• Repeating fast radio bursts reveal memory from minutes to an hour
• Dispersion and Rotation Measures from the Ejecta of Compact Binary Mergers: Clue to the Progenitors of Fast Radio Bursts
• Statistical similarity between soft gamma repeaters and the repeating fast radio bursts
• Inferring redshift and energy distributions of fast radio bursts from the first CHIME/FRB catalog
• New Insights into the Criteria of Fast Radio Burst in the Light of FRB 20121102A
• Revised Constraints on the fast radio burst population from the first CHIME/FRB catalog
• Repeating Fast Radio Bursts with High Burst Rates by Plate Collisions in Neutron Star Crusts
• Imprint of local environment on fast radio burst observations
• Narrow-band giant pulses from the Crab pulsar
• Unsupervised Machine Learning for Classifying CHIME Fast Radio Bursts and Investigating Empirical Relations
• Power-law distribution and scale-invariant structure from the first CHIME/FRB Fast Radio Burst catalog
• Reconciling the 16.35-day period of FRB 20180916B with jet precession
• The temporally evolving energy and waiting time statistics of two repeating fast radio bursts
• Low-frequency, wideband study of an active repeater, FRB 20240114A, with the GMRT
• Quantifying the randomness and scale invariance of the repeating fast radio bursts
• Fast Radio Bursts
• When Outliers Are Different
• Repeating FRBs reveal the secret of pulsar magnetospheric activity
• Search for the correlations between host properties and $\mathrm{D}{\mathrm{M}}_{\mathrm{host}}$ of fast radio bursts: constraints on the baryon mass fraction in IGM
• Energy and waiting time distributions of FRB 121102 observed by FAST