Time evolution of the probability density function of a gammaray burst: a possible indication of the turbulent origin of gammaray bursts
Abstract
The time series of a gammaray burst (GRB) is a nonstationary 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 timedependent and timeaveraged 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 origin of GRBs. The spectral and temporal evolutions of GRBs are also studied using the evolution of spectral forms, colourcolour diagrams and hysteresis loops. The results do not contradict the interpretation of the turbulence of GRBs.
 Publication:

Monthly Notices of the Royal Astronomical Society
 Pub Date:
 February 2012
 DOI:
 10.1111/j.13652966.2011.20168.x
 arXiv:
 arXiv:1111.2719
 Bibcode:
 2012MNRAS.420.1706B
 Keywords:

 magnetic reconnection;
 turbulence;
 methods: data analysis;
 gammaray burst: general;
 Xrays: general;
 Astrophysics  High Energy Astrophysical Phenomena;
 Physics  Data Analysis;
 Statistics and Probability
 EPrint:
 Accepted for publication in MNRAS