Image Details
Caption: Figure 3.
Temporal evolution (black lines) of the Lorentz factor for the narrow (left panel) and wide (right panel) jet components.
The red-dotted lines are plotted for comparison and correspond to the standard evolution Γ ∝
t
−3/8 for an adiabatic fireball expanding in a uniform medium (e.g., Sari et al. 1998). The initial values Γ
0 are set to be 10
4 and 220 for the narrow and wide jet components, respectively. After
t
j
, which is set to be ~1000 s for the narrow jet (corresponding to θ
j
~ 0
1) and ~2 × 10
4 s for the wide jet (corresponding to θ
j
~ 0
4), the Lorentz factor is evolved following a temporal scaling of Γ ∝
t
−1/2 (e.g., Peng et al. 2005).
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