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Journal ArticleDOI

Fluid dynamics of relativistic blast waves

Roger Blandford, +1 more
- 01 Aug 1976 - 
- Vol. 19, Iss: 8, pp 1130-1138
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TLDR
In this paper, a fluid dynamical treatment of an ultra-relativistic spherical blast wave enclosed by a strong shock is presented, and a simple similarity solution describing the explosion of a fixed amount of energy in a uniform medium is derived, and generalized to include cases in which power is supplied by a central source and the density of the external medium varies with radius.
Abstract
A fluid dynamical treatment of an ultra‐relativistic spherical blast wave enclosed by a strong shock is presented. A simple similarity solution describing the explosion of a fixed amount of energy in a uniform medium is derived, and this is generalized to include cases in which power is supplied by a central source and the density of the external medium varies with radius. Radiative shocks, in which the escaping photons carry away momentum as well as energy, are also discussed. Formulas that interpolate between the non‐ and ultra‐relativistic limits are proposed.

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Citations
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Igr j12580+0134: the first tidal disruption event with an off-beam relativistic jet

TL;DR: In this paper, the radio data of IGR J12580+0134 can be interpreted within an external forward shock model in the Newtonian regime, and it is shown that the data are consistent with an off-beam relativistic jet with a viewing angle of 30, obs o  q and an initial Lorentz factor of j G a few.
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On the radio afterglow of gamma ray bursts

TL;DR: In this paper, the authors used the cannonball model of gamma ray bursts (GRBs) to predict the spectral and temporal behaviour of their radio afterglows (AGs) at all times and frequencies; its high-frequency limit reproduces the successful CB model predictions for optical and X-ray AGs.
Journal ArticleDOI

Towards Understanding the Physics of Collisionless Relativistic Shocks

TL;DR: In this paper, a mesoscopic, non-linear model of particle acceleration in relativistic shocks based on Monte Carlo techniques is proposed, which uses a semi-phenomenological description of particle scattering which allows it to calculate the back-reaction of accelerated particles on the shock structure.
Journal ArticleDOI

Magnetars in Ultra-Long Gamma-Ray Bursts

TL;DR: In this article, the authors investigated the broadband observations of ULGRB 111209A and found two independent measures that suggest a high density circumburst environment, however, the light curve of the GRB afterglow shows no evidence of a jet break (the steep decline that would be expected as the jet slows due to the resistance of the external medium).
References
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Journal ArticleDOI

The Formation of a Blast Wave by a Very Intense Explosion. I. Theoretical Discussion

TL;DR: This paper has now been declassified, and though it has been superseded by more complete calculations, it seems appropriate to publish it as it was first written, without alteration, except for the omission of a few lines, the addition of this summary, and a comparison with some more recent experimental work as discussed by the authors.
Journal ArticleDOI

Relativistic Rankine-Hugoniot Equations

TL;DR: In this paper, the relativistic form of the Rankine-Hugoniot equations are derived and it is shown that as a consequence of the inequality mentioned earlier that the shock wave velocity is always less than that of light in vacuum for sufficiently strong shocks.
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