Comparative Analysis of the Observational Properties of Fast Radio Bursts at the Frequencies of 111 and 1400 MHz

Abstract

A comparative analysis of the observational characteristics of fast radio bursts at the frequencies 111 and 1400 MHz is carried out. The distributions of radio bursts by the dispersion measure are constructed. At both frequencies, they are described by a lognormal distribution with the parameters $\mu =6.2$ $\sigma =0.7$. The dependence ${\tau }_{sc}(DM)$ of the scattering value on the dispersion measure at 111 MHz and 1400 MHz is also constructed. This dependence is fundamentally different from the dependence for pulsars. A comparative analysis of the relationship between the scattering of pulses and the dispersion measure at 1400 MHz and 111 MHz showed that for both frequencies it has the form ${\tau }_{sc}(DM)\sim D{M}^k$, where $k=0.49\pm 0.18$ and $k=0.43\pm 0.15$ for the frequencies 111 and 1400 MHz, respectively. The obtained dependence is explained within the framework of the assumption of the extragalactic occurrence of fast radio bursts and an almost uniform distribution of matter in intergalactic space. From the dependence ${\tau }_{sc}(DM)$ a total estimate of the contribution to the matter of the halo of our and the host galaxy to $DM$ is obtained $D{M}_{halo}+\frac{D{M}_{host}}{1+z}\approx 60{pc/cm}^3$. Based on the LogN - LogS dependence, the average spectral index of radio bursts is derived $\alpha =-0.63\pm 0.20$ provided that the statistical properties of these samples at 111 and 1400 MHz are the same.

47 pages, 25 figures, 3 tables

References in corpus (13)

• Fast Radio Bursts
• The detection of an extremely bright fast radio burst in a phased array feed survey
• Fast Radio Bursts from Magnetars Born in Binary Neutron Star Mergers and Accretion Induced Collapse
• Detection of Repeating FRB 180916.J0158+65 Down to Frequencies of 300 MHz
• The lowest frequency Fast Radio Bursts: Sardinia Radio Telescope detection of the periodic FRB 180916 at 328 MHz
• Dark Matter-induced Collapse of Neutron Stars: A Possible Link Between Fast Radio Bursts and the Missing Pulsar Problem
• FRB event rate counts I --- Interpreting the Observations
• The Impact of Feedback During Massive Star Formation by Core Accretion
• NE2001. II. Using Radio Propagation Data to Construct a Model for the Galactic Distribution of Free Electrons
• Constraints on the low frequency spectrum of FRB 121102
• FRB as Products of Accretion Disc Funnels
• Detection of Fast Radio Bursts on the Large Scanning Antenna of the Lebedev Physical Institute
• Search for Fast Radio Bursts in the Direction of the Galaxies M31 and M33

Cited by in corpus (3)

• Long and Short Fast Radio Bursts are Different from Repeating and Non-repeating Transients
• The Low Frequency Perspective on Fast Radio Bursts
• On the problems of detecting Fast Radio Bursts with the LPA LPI