2011
DOI: 10.1088/2041-8205/738/2/l23
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Relativistic Jet Dynamics and Calorimetry of Gamma-Ray Bursts

Abstract: We present numerical solutions of the 2D relativistic hydrodynamics equations describing the deceleration and expansion of highly relativistic conical jets, of opening angles 0.05 ≤ θ 0 ≤ 0.2, propagating into a medium of uniform density. Jet evolution is followed from a collimated relativistic outflow through to the quasi-spherical non-relativistic phase. We show that relativistic sideways expansion becomes significant beyond the radius r θ at which the expansion Lorentz factor drops to θ −1 0 . This is consi… Show more

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Cited by 86 publications
(84 citation statements)
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“…(Here, we also show the condition t(β = 1) < 2 days, which was used by Toma et al (2007). However, as discussed above and in Wygoda et al (2011), the radio flux still deviates considerably from the Sedov-Taylor prediction at this time because the outflow is semirelativistic.) The situation changes if some additional mass is swept up by the jet before the first radio observation, in which case the condition E k < M sw c 2 replaces the upper limit on t s .…”
Section: Radio Afterglowmentioning
confidence: 57%
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“…(Here, we also show the condition t(β = 1) < 2 days, which was used by Toma et al (2007). However, as discussed above and in Wygoda et al (2011), the radio flux still deviates considerably from the Sedov-Taylor prediction at this time because the outflow is semirelativistic.) The situation changes if some additional mass is swept up by the jet before the first radio observation, in which case the condition E k < M sw c 2 replaces the upper limit on t s .…”
Section: Radio Afterglowmentioning
confidence: 57%
“…In the choked-jet scenario, the flow must reach a quasispherical state prior to breaking out of the envelope semirelativistically, which could be difficult. Numerical simulations suggest that the bulk of the jet outflow does not become quasi-spherical until long after it becomes nonrelativistic (Zhang & MacFadyen 2009;Wygoda et al 2011;van Eerten & MacFadyen 2012). In the lab frame, this occurs on a time-scale ∼ 5t NR , where t NR is set by…”
Section: Uv/optical Emissionmentioning
confidence: 99%
“…(Here, we also show the condition t(β = 1) < 2 days, which was used by Toma et al (2007). However, as discussed above and in Wygoda et al (2011), the radio flux still deviates considerably from the Sedov-Taylor prediction at this time because the outflow is semirelativistic. )…”
Section: Radio Afterglowmentioning
confidence: 57%
“…the transition from beamed to quasi-spherical flow, has been investigated by many authors, both analytically (Rhoads 1999;Sari et al 1999;Livio & Waxman 2000;Chevalier & Li 2000;Wygoda et al 2011) and numerically (Zhang & MacFadyen 2009;Wygoda et al 2011;van Eerten & MacFadyen 2012. We discuss this topic in more detail in Section 2.4.5, as it is relevant to our model of GRB 060218.…”
Section: Radiation From Relativistic Jets Ii: the Afterglow Phasementioning
confidence: 97%
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