Self-similar temporal behavior of gamma-ray bursts

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  • 14 July 1998
Abstract
We apply Fourier analysis to 214 light curves of long gamma-ray bursts (GRBs) and study the statistical properties of their power density spectra (PDS). The averaged PDS is found to follow a power-law of index -5/3 over almost 2 decades of frequency with a break at about 2 Hz. Individual PDS follow the standard exponential distribution around the average power-law. It provides evidence that the diversity of GRBs is due to random realizations of the same process which is self-similar over the full range of time-scales. The slope -5/3 of the spectrum may indicate that GRBs are related to a phenomenon well studied in hydrodynamics - fully developed turbulence.

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