Abstract

In this paper, we present and compare the classical, generic and realistic models describing the evolution of a relativistic blast wave of the GRB fireball. Indeed, we have shown that while the classical model holds only in the afterglow relativistic phase, the generic and the realistic models are valid for the whole evolution of the blast wave, i.e., from the relativistic phase to the non relativistic one, consistently with Sedov's solution for an adiabatic expansion. We are especially interested here in the case of an evolved radiation efficiency, taking into account the synchrotron emission as a basic radiation mechanism. This case is compared to that of constant radiation efficiency, simply identified to be the conversion coefficient.

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