Journal Article

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

Nilay Bhatt and Subir Bhattacharyya

in Monthly Notices of the Royal Astronomical Society

Published on behalf of The Royal Astronomical Society

Volume 420, issue 2, pages 1706-1713
Published in print February 2012 | ISSN: 0035-8711
Published online January 2012 | e-ISSN: 1365-2966 | DOI: https://dx.doi.org/10.1111/j.1365-2966.2011.20168.x
Time evolution of the probability density function of a gamma-ray burst: a possible indication of the turbulent origin of gamma-ray bursts

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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 origin of GRBs. The spectral and temporal evolutions of GRBs are also studied using the evolution of spectral forms, colour–colour diagrams and hysteresis loops. The results do not contradict the interpretation of the turbulence of GRBs.

Keywords: magnetic reconnection; turbulence; methods: data analysis; gamma-ray burst: general; X-rays: general

Journal Article.  5565 words.  Illustrated.

Subjects: Astronomy and Astrophysics

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