An MAD explanation for the correlation between bulk Lorentz factor and minimum variability time-scale
Abstract
Here we offer an explanation for the anticorrelation between the minimum variability time-scale (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 disc (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 time-scale in GRBs and the maximum bulk Lorentz factor: tMAD ∝ Γ-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 anticorrelation between MTS and gamma-ray luminosity L in the GRB data, and we estimate the accretion rates of the GRB disc (given these luminosities) in the context of this model. Finally, both these correlations (MTS-Γ and MTS-L) are also observed in the Active Galactic Nuclei (AGN) data, and we discuss the implications of our results in the context of both GRB and blazar systems.
- Authors:
-
[1];
[2];
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States); Univ. of New Mexico, Los Alamos, NM (United States)
- Huazhong Univ. of Science and Technology, Wuhan (China). School of Physics
- Guizhou Normal Univ., Guiyang (China). Guizhou Provincial Key Lab. of Radio Astronomy and Data Processing
- Publication Date:
- Research Org.:
- Los Alamos National Laboratory (LANL), Los Alamos, NM (United States); Huazhong Univ. of Science and Technology, Wuhan (China); Guizhou Normal Univ., Guiyang (China)
- Sponsoring Org.:
- USDOE National Nuclear Security Administration (NNSA); National Basic Research Program (China); National Natural Science Foundation of China (NSFC)
- OSTI Identifier:
- 1482926
- Report Number(s):
- LA-UR-18-21316
Journal ID: ISSN 0035-8711
- Grant/Contract Number:
- 89233218CNA000001; 2014CB845800; 11773010
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Monthly Notices of the Royal Astronomical Society
- Additional Journal Information:
- Journal Volume: 478; Journal Issue: 3; Journal ID: ISSN 0035-8711
- Publisher:
- Royal Astronomical Society
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 79 ASTRONOMY AND ASTROPHYSICS; gamma-ray burst
Citation Formats
Lloyd-Ronning, Nicole, Lei, Wei-hua, and Xie, Wei. An MAD explanation for the correlation between bulk Lorentz factor and minimum variability time-scale. United States: N. p., 2018.
Web. doi:10.1093/mnras/sty1030.
Lloyd-Ronning, Nicole, Lei, Wei-hua, & Xie, Wei. An MAD explanation for the correlation between bulk Lorentz factor and minimum variability time-scale. United States. https://doi.org/10.1093/mnras/sty1030
Lloyd-Ronning, Nicole, Lei, Wei-hua, and Xie, Wei. Wed .
"An MAD explanation for the correlation between bulk Lorentz factor and minimum variability time-scale". United States. https://doi.org/10.1093/mnras/sty1030. https://www.osti.gov/servlets/purl/1482926.
@article{osti_1482926,
title = {An MAD explanation for the correlation between bulk Lorentz factor and minimum variability time-scale},
author = {Lloyd-Ronning, Nicole and Lei, Wei-hua and Xie, Wei},
abstractNote = {Here we offer an explanation for the anticorrelation between the minimum variability time-scale (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 disc (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 time-scale in GRBs and the maximum bulk Lorentz factor: tMAD ∝ Γ-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 anticorrelation between MTS and gamma-ray luminosity L in the GRB data, and we estimate the accretion rates of the GRB disc (given these luminosities) in the context of this model. Finally, both these correlations (MTS-Γ and MTS-L) are also observed in the Active Galactic Nuclei (AGN) data, and we discuss the implications of our results in the context of both GRB and blazar systems.},
doi = {10.1093/mnras/sty1030},
journal = {Monthly Notices of the Royal Astronomical Society},
number = 3,
volume = 478,
place = {United States},
year = {Wed Apr 25 00:00:00 EDT 2018},
month = {Wed Apr 25 00:00:00 EDT 2018}
}
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Accretion into black hole, and formation of magnetically arrested accretion disks
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