Journal ArticleDOI
Fluid dynamics of relativistic blast waves
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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.read more
Citations
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Dynamical Evolution of an Ultra-relativistic Fireball Colliding with a Freely Expanding Gas
TL;DR: In this article, the hydrodynamical evolution of an ultra-relativistic fireball colliding with a freely expanding gas is investigated. And the authors propose that the burst emission from the forward shock and the photospheric emission from reverse-shocked fireball contribute to early gamma-ray emission from gamma ray bursts.
Journal ArticleDOI
Signatures from a quasi-spherical outflow and an off-axis top-hat jet launched in a merger of compact objects: An analytical approach
Nissim Fraija,Diego Lopez-Camara,A. C. Caligula do E. S. Pedreira,B. Betancourt Kamenetskaia,Péter Veres,S. Dichiara,S. Dichiara +6 more
TL;DR: In this paper, an analytical model of the synchrotron self-Compton (SSC) emission for an off-axis top-hat jet and a quasi-spherical outflow was presented.
Journal ArticleDOI
Very Early Optical Afterglows for Geometric Models of X-ray Flashes and X-ray Rich GRBs
TL;DR: In this paper, the early afterglow of uniform jets, Gaussian jets and power-law jets in the forward-reverse shock scenario was calculated for a set of differential equations governing the dynamical evolution.
Journal ArticleDOI
Overall Temporal Synchrotron Emissions from Relativistic Jets: Adiabatic and Radiative Breaks
Zhuo Li,Zi-Gao Dai,Tan Lu +2 more
TL;DR: In this paper, the effect of strong inverse-Compton scattering on the cooling frequency in the synchrotron component and therefore on the light curve decay index has been investigated.
Journal ArticleDOI
Discrete self-similarity in type-II strong explosions
Yonatan Oren,Re'em Sari +1 more
TL;DR: In this paper, the authors present new solutions to the strong explosion problem in a non-power law density profile, where the perturbations are spherically symmetric and log periodic with respect to the radius.
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.