Time evolution of probability density function of gamma ray burst (GRB) - a possible indication of turbulence origin of GRB

TL;DR

This paper investigates the time-dependent probability density functions of gamma-ray burst (GRB) data, suggesting that Gaussian distributions may indicate a turbulence origin, supported by spectral and temporal analyses.

Contribution

It introduces a method to analyze the evolving PDFs of GRBs and proposes turbulence as a possible origin based on Gaussian fits and spectral evolution.

Findings

Gaussian PDFs fit GRB data well

Spectral and temporal evolution supports turbulence hypothesis

Results align with turbulence-based models of GRBs

Abstract

Gamma ray burst (GRB) time series is a non-stationary time series with all its statistical properties varying with time. Considering that each GRB is a different manifestation of the same stochastic process we studied the time dependent as well as time averaged probability density function (\emph{pdf}) characterizing the underlying stochastic process. The \emph{pdf}s are fitted with Gaussian distribution function and it has been argued that the Gaussian \emph{pdf}s possibly indicate the turbulence origin of GRB. The spectral and temporal evolution of GRBs are also studied through the evolution of spectral forms, color-color diagrams and hysteresis loops. The results do not contradict the turbulence interpretation of GRB.