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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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In the Beginning: The First Sources of Light and the Reionization of the Universe

TL;DR: The formation of the first stars and quasars marks the transformation of the universe from its smooth initial state to its clumpy current state as discussed by the authors, and the study of high-redshift sources is likely to attract major attention in observational and theoretical cosmology over the next decade.
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The Internal-collision-induced Magnetic Reconnection and Turbulence (ICMART) Model of Gamma-ray Bursts

TL;DR: In this paper, the ICMART model is proposed for gamma-ray burst (GRB) prompt emission in the PFD regime, which predicts a decrease of gamma-rays polarization degree and a moderate magnetic turbulence in the emission region.
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Theories of Gamma-Ray Bursts

TL;DR: In this paper, the gamma ray burst phenomenon is reviewed from a theoretical point of view, with emphasis on the fireball shock scenario of the prompt emission and the longer wavelength afterglow.
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Gamma-ray burst afterglow with continuous energy injection: signature of a highly magnetized millisecond pulsar

TL;DR: In this article, the consequences of a continuously injecting central engine on the gamma-ray burst afterglow emission were investigated, focusing more specifically on a highly magnetized millisecond pulsar engine.
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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