An MAD explanation for the correlation between bulk Lorentz factor and minimum variability time-scale
An MAD explanation for the correlation between bulk Lorentz factor and minimum variability time-scale
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对体洛伦兹因子与最小变异时间尺度之间相关性的 MAD 解释
DOI：
10.1093/mnras/sty1030
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发表时间：
2018-04
影响因子：
4.8
通讯作者：
Xie Wei
中科院分区：
文献类型：
--
作者：
Lloyd-Ronning Nicole;Lei Wei-hua;Xie Wei
We offer an explanation for the anti-correlation between the minimum variability timescale ($MTS$) in the prompt emission light curve of gamma-ray bursts (GRBs) and the estimated bulk Lorentz factor of these GRBs, in the context of a magnetically arrested disk (MAD) model. In particular, we show that previously derived limits on the maximum available energy per baryon in a Blandford-Znajek jet leads to a relationship between the characteristic MAD timescale, $t_{MAD}$, in GRBs and the maximum bulk Lorentz factor: $t_{MAD} \propto \Gamma^{-6}$, somewhat steeper than (although within the error bars of) the fitted relationship found in the GRB data. Similarly, the MAD model also naturally accounts for the observed anti-correlation between $MTS$ and gamma-ray luminosity $L$ in the GRB data, and we estimate the accretion rates of the GRB disks (given these luminosities) in the context of this model. Both of these correlations ($MTS-\Gamma$ and $MTS-L$) are also observed in the AGN data, and we discuss the implications of our results in the context of both GRB and blazar systems.
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DOI：
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