Time evolution of the probability density function of a gamma-ray burst: a possible indication of the turbulent origin of gamma-ray bursts

  title={Time evolution of the probability density function of a gamma-ray burst: a possible indication of the turbulent origin of gamma-ray bursts},
  author={Nilay Bhatt and Subir Bhattacharyya},
  journal={Monthly Notices of the Royal Astronomical Society},
The time series of a gamma-ray burst (GRB) is a non-stationary time series and all of its statistical properties vary with time. Considering that each GRB is a different manifestation of the same stochastic process, we have studied the time-dependent and time-averaged probability density functions (pdfs), which characterize the underlying stochastic process. The pdfs are fitted with a Gaussian distribution function. It has been argued that the Gaussian pdfs possibly indicate the turbulent… 

Figures and Tables from this paper

Spectral Diversities of Gamma-Ray Bursts in High-energy Bands: Hints from Turbulent Cascade

We statistically examine the gamma-ray burst (GRB) photon indices obtained by the Fermi-GBM and Fermi-LAT observations and compare the LAT GRB photon indices to the GBM GRB photon indices. We apply

A Comprehensive Statistical Study of Gamma-Ray Bursts

In order to obtain an overview of gamma-ray bursts (GRBs), we need a full sample. In this paper, we collected 6289 GRBs (from GRB 910421 to GRB 160509A) from the literature, including their prompt

Temporal Analysis of GRB Precursors in the Third Swift-BAT Catalog

We select 52 long gamma-ray bursts (GRBs) that have precursor activity in the third Swift-BAT catalog. Each episode shown in both the precursors and the main bursts is fitted by the Norris function.

Jitter radiation: towards TeV-photons of gamma-ray bursts

The synchrotron mechanism has the radiation limit of about 160 MeV, and it is not possible to explain the very high energy (VHE) photons that are emitted by high-energy objects. Inverse Compton

Temporal studies on GRB light curves for neutrino flux predictions in multi-collision zone models

For the analysis here presented, the most luminous GRB detected by Konus-WIND until now was selected, namely GRB 110918A. Through the NeuCosmA code, simulating multi-zone collisions during the GRB

Exploring Finite-Sized Scale Invariance in Stochastic Variability with Toy Models: The Ornstein-Uhlenbeck Model

This work explores a very commonly observed feature; finite sized self-similarity or scale invariance which is a fundamental property of complex, dynamical systems and investigates it through the probability density function of time-varying fluxes arising from a Ornstein–Uhlenbeck Model.



The Theory of Spectral Evolution of the Gamma-Ray Burst Prompt Emission

We develop the theory of jitter radiation from GRB shocks containing small-scale magnetic fields and propagating at an angle with respect to the line of sight. We demonstrate that the spectra vary

BATSE observations of gamma-ray burst spectra. I: Spectral diversity

We studied the time-averaged gamma-ray burst spectra accumulated by the spectroscopy detectors of the Burst and Transient Source Experiment. The spectra are described well at low energy by a

Interpreting the Behavior of Time-resolved Gamma-Ray Burst Spectra

In this paper, we explore time-resolved gamma-ray burst (GRB) spectra in the context of the synchrotron emission model presented by Lloyd & Petrosian in 2000. First, we show that our model—which

Power Density Spectra of Gamma-Ray Bursts

Power density spectra (PDSs) of long gamma-ray bursts (GRBs) provide useful information on GRBs, indicating their self-similar temporal structure. The best power-law PDSs are displayed by the longest

Time resolved spectral analysis of bright gamma ray bursts

We present the time integrated and time resolved spectral analysis of a sample of bright bursts selected with Fpeak 20 phot cm 2 s 1 from the BATSE archive. We fitted four dierent spectral models to


We revisit the radiation mechanism of relativistic electrons in the stochastic magnetic field and apply it to the high-energy emissions of gamma-ray bursts (GRBs). We confirm that jitter radiation is

The BATSE Gamma-Ray Burst Spectral Catalog. I. High Time Resolution Spectroscopy of Bright Bursts Using High Energy Resolution Data

This is the first in a series of gamma-ray burst spectroscopy catalogs from the Burst and Transient Source Experiment (BATSE) on the Compton Gamma Ray Observatory, each covering a different aspect of

Shock emission model for gamma-ray bursts.

  • Tavani
  • Physics
    Physical review letters
  • 1996
It is shown that the synchrotron shock model (SSM) predicts a specific shape of the GRB spectral continuum (broad maximum of the νFν spectrum, low-energy continuum with characteristic ‘curvature’, high-energy power-law emission) in agreement with all available broad-band GRB spectra.

Hydrodynamic Timescales and Temporal Structure of Gamma-Ray Bursts

We calculate the hydrodynamic timescales for a spherical ultrarelativistic shell that is decelerated by the ISM and discuss the possible relations between these timescales and the observed temporal

Unsteady outflow models for cosmological gamma-ray bursts

The 'event' that triggers a gamma-ray burst cannot last for more than a few seconds. This is, however, long compared with the dynamical timescale of a compact stellar-mass object (approximately 10