Power Density Spectra of Gamma-Ray Bursts in the Internal Shock Model

Details Power Density Spectra of Gamma-Ray Bursts in the Internal Shock Model Power Density Spectra of Gamma-Ray Bursts in the Internal Shock Model

1999-05-04

arxiv.org/abs/astro-ph/9905026v1

Astrophys.J. 522 (1999) L105-L108

Astronomy and Astrophysics

Astrophysics

6 pages, 4 figures, Latex, submitted to The Astrophysical Journal (05/04/99)

Scientific paper

10.1086/312230

We simulate Gamma-Ray Bursts arising from internal shocks in relativistic winds, calculate their power density spectrum (PDS), and identify the factors to which the PDS is most sensitive: the wind ejection features, which determine the wind dynamics and its optical thickness, and the energy release parameters, which give the pulse 50-300 keV radiative efficiency. For certain combinations of ejection features and wind parameters the resulting PDS exhibits the features observed in real bursts. We found that the upper limit on the efficiency of conversion of wind kinetic energy into 50-300 keV photons is $\sim$ 1%. Winds with a modulated Lorentz factor distribution of the ejecta yield PDSs in accord with current observations and have efficiencies closer to $10^{-3}$, while winds with a random, uniform Lorentz factor ejection must be optically thick to the short duration pulses to produce correct PDSs, and have an overall efficiency around $10^{-4}$.

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